目录
前言：
需合并的json目录
aa/tileset.json
bb/tileset.json
cc/tileset.json
dd/tileset.json
ee/tileset.json
js源码：
运行命令：
生成结果：
java源码：
Matrix.java
ThreeDTilesJoin2.java
pom文件
运行程序：
生成合成文件
遇到的问题：
求矩阵运算的jar包：Apache Commons Math
计算代数余子式
计算行列式
转置矩阵
计算逆矩阵
矩阵相乘
需要注意
前言：
需要简单了解3dtile基本结构
需合并的json目录
aa/tileset.json
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}cc/tileset.json
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"geometricError": 48.7584225341977
}, {
"boundingVolume": {
"box": [1330.76959228516, -183.34806060791, 17.4266179800034, 42.6410522460938, 0, 0, 0, 50.4650802612305, 0, 0, 0, 14.0722395181656]
},
"content": {
"uri": "Tile_+055_+022/Tile_+055_+022.json"
},
"geometricError": 67.5500672648307
}, {
"boundingVolume": {
"box": [1343.38549804688, -83.4295806884766, 13.3076241016388, 30.647216796875, 0, 0, 0, 50.3902435302734, 0, 0, 0, 8.86118960380554]
},
"content": {
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},
"geometricError": 59.6401645003559
}, {
"boundingVolume": {
"box": [1355.99951171875, 16.4887676239014, 12.5251359939575, 18.6517333984375, 0, 0, 0, 50.3155078887939, 0, 0, 0, 8.38973331451416]
},
"content": {
"uri": "Tile_+055_+024/Tile_+055_+024.json"
},
"geometricError": 54.3132131065945
}, {
"boundingVolume": {
"box": [1368.37573242188, 77.9040107727051, 6.60480356216431, 6.41845703125, 0, 0, 0, 11.7378349304199, 0, 0, 0, 2.24518442153931]
},
"content": {
"uri": "Tile_+055_+025/Tile_+055_+025.json"
},
"geometricError": 13.5651838396135
}, {
"boundingVolume": {
"box": [1407.76196289063, -259.938575744629, 15.907214641571, 35.7642822265625, 0, 0, 0, 26.6888961791992, 0, 0, 0, 11.5050873756409]
},
"content": {
"uri": "Tile_+056_+021/Tile_+056_+021.json"
},
"geometricError": 46.0841415018922
}, {
"boundingVolume": {
"box": [1421.63781738281, -183.753875732422, 17.1668101549149, 49.4112548828125, 0, 0, 0, 50.4975280761719, 0, 0, 0, 13.9405335187912]
},
"content": {
"uri": "Tile_+056_+022/Tile_+056_+022.json"
},
"geometricError": 72.0125747747334
}, {
"boundingVolume": {
"box": [1423.4345703125, -83.8446617126465, 13.146103978157, 50.58740234375, 0, 0, 0, 50.5813941955566, 0, 0, 0, 9.23278701305389]
},
"content": {
"uri": "Tile_+056_+023/Tile_+056_+023.json"
},
"geometricError": 72.1304864165157
}, {
"boundingVolume": {
"box": [1424.056640625, 16.1404838562012, 14.5895075798035, 50.58740234375, 0, 0, 0, 50.5891609191895, 0, 0, 0, 10.2280697822571]
},
"content": {
"uri": "Tile_+056_+024/Tile_+056_+024.json"
},
"geometricError": 72.2700621963674
}, {
"boundingVolume": {
"box": [1424.43774414063, 77.5803565979004, 13.805157661438, 50.35009765625, 0, 0, 0, 12.0362205505371, 0, 0, 0, 9.49176692962646]
},
"content": {
"uri": "Tile_+056_+025/Tile_+056_+025.json"
},
"geometricError": 52.6317069700521
}, {
"boundingVolume": {
"box": [1482.11926269531, -79.1935214996338, 5.75612854957581, 9.2208251953125, 0, 0, 0, 45.3083171844482, 0, 0, 0, 1.68560910224915]
},
"content": {
"uri": "Tile_+057_+023/Tile_+057_+023.json"
},
"geometricError": 46.2677911879815
}, {
"boundingVolume": {
"box": [1490.83251953125, 15.7759399414063, 12.0768136978149, 17.3740234375, 0, 0, 0, 50.3316650390625, 0, 0, 0, 8.07517910003662]
},
"content": {
"uri": "Tile_+057_+024/Tile_+057_+024.json"
},
"geometricError": 53.8548207081674
}, {
"boundingVolume": {
"box": [1493.28857421875, 77.2821998596191, 9.15342235565186, 19.2080078125, 0, 0, 0, 11.946231842041, 0, 0, 0, 4.94451904296875]
},
"content": {
"uri": "Tile_+057_+025/Tile_+057_+025.json"
},
"geometricError": 23.1540123502415
}],
"geometricError": 440.204868379572
}],
"geometricError": 440.204868379572,
"transform": [-0.860048066843865, -0.510213017001851, 0.0, 0.0, 0.268197168561964, -0.452090496848062, 0.850696456695934, 0.0, -0.434036405723617, 0.731639843052264, 0.525657244376012, 0.0, -2770907.60361716, 4670821.10507043, 3333353.96012987, 1.0]
}
}dd/tileset.json
{
"asset": {
"generatetool": "cesiumlab2@www.cesiumlab.com/osgb2tiles3",
"version": "1.0"
},
"geometricError": 371.970268249901,
"root": {
"boundingVolume": {
"box": [-1300.84271240234, -886.116760253906, -6.17444896697998, 139.575012207031, 0, 0, 0, 116.933471679688, 0, 0, 0, 37.8926019668579]
},
"children": [{
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"box": [-1300.84271240234, -886.116760253906, -6.17444896697998, 139.575012207031, 0, 0, 0, 116.933471679688, 0, 0, 0, 37.8926019668579]
},
"children": [{
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"box": [-1391.99407958984, -933.559753417969, 14.0356489419937, 48.4236450195313, 0, 0, 0, 48.149169921875, 0, 0, 0, 11.1117585897446]
},
"content": {
"uri": "Tile_+025_+004/Tile_+025_+004.json"
},
"geometricError": 69.1857148557412
}, {
"boundingVolume": {
"box": [-1369.02563476563, -852.159057617188, 2.13443279266357, 25.9090576171875, 0, 0, 0, 34.1532592773438, 0, 0, 0, 21.7199869155884]
},
"content": {
"uri": "Tile_+025_+005/Tile_+025_+005.json"
},
"geometricError": 48.0570725022815
}, {
"boundingVolume": {
"box": [-1299.24267578125, -994.438171386719, 9.6319876909256, 32.385498046875, 0, 0, 0, 8.612060546875, 0, 0, 0, 5.9280823469162]
},
"content": {
"uri": "Tile_+026_+003/Tile_+026_+003.json"
},
"geometricError": 34.0313125065579
}, {
"boundingVolume": {
"box": [-1294.17193603516, -936.282165527344, 16.2041157484055, 50.5923461914063, 0, 0, 0, 50.5336303710938, 0, 0, 0, 12.6391478776932]
},
"content": {
"uri": "Tile_+026_+004/Tile_+026_+004.json"
},
"geometricError": 72.6152969470457
}, {
"boundingVolume": {
"box": [-1293.55456542969, -836.444793701172, 6.14014911651611, 50.57958984375, 0, 0, 0, 50.5338439941406, 0, 0, 0, 25.3308382034302]
},
"content": {
"uri": "Tile_+026_+005/Tile_+026_+005.json"
},
"geometricError": 75.852591660895
}, {
"boundingVolume": {
"box": [-1292.90478515625, -778.007720947266, 15.3367151618004, 27.361083984375, 0, 0, 0, 8.82443237304688, 0, 0, 0, 13.8531003594398]
},
"content": {
"uri": "Tile_+026_+006/Tile_+026_+006.json"
},
"geometricError": 31.9125040238965
}, {
"boundingVolume": {
"box": [-1219.70953369141, -920.958221435547, 15.8824429512024, 24.8853149414063, 0, 0, 0, 34.5433654785156, 0, 0, 0, 12.3139815330505]
},
"content": {
"uri": "Tile_+027_+004/Tile_+027_+004.json"
},
"geometricError": 44.3188124785806
}, {
"boundingVolume": {
"box": [-1202.70550537109, -841.645172119141, -6.17444896697998, 41.4378051757813, 0, 0, 0, 45.6526794433594, 0, 0, 0, 37.8926019668579]
},
"content": {
"uri": "Tile_+027_+005/Tile_+027_+005.json"
},
"geometricError": 72.3678666395718
}],
"geometricError": 371.970268249901
}],
"geometricError": 371.970268249901,
"transform": [-0.859624213482753, -0.510926816280138, 0.0, 0.0, 0.268445326760204, -0.451653926798071, 0.850850067255383, 0.0, -0.434722115994534, 0.731411319856156, 0.525408567737061, 0.0, -2775282.77578321, 4669358.11021673, 3331774.10493865, 1.0]
}
}ee/tileset.json
{
"asset": {
"generatetool": "cesiumlab2@www.cesiumlab.com/osgb2tiles3",
"version": "1.0"
},
"geometricError": 221.861093368121,
"root": {
"boundingVolume": {
"box": [24.9149742126465, 458.556976318359, 5.52865505218506, 97.6052131652832, 0, 0, 0, 49.4085388183594, 0, 0, 0, 18.3740262985229]
},
"children": [{
"boundingVolume": {
"box": [24.9149742126465, 458.556976318359, 5.52865505218506, 97.6052131652832, 0, 0, 0, 49.4085388183594, 0, 0, 0, 18.3740262985229]
},
"children": [{
"boundingVolume": {
"box": [-53.5235767364502, 460.995025634766, 4.8595757484436, 19.1666622161865, 0, 0, 0, 44.6980590820313, 0, 0, 0, 17.1172251701355]
},
"content": {
"uri": "Tile_+038_+018/Tile_+038_+018.json"
},
"geometricError": 51.5584796491835
}, {
"boundingVolume": {
"box": [-49.5933418273926, 506.448089599609, 3.60871529579163, 15.2364234924316, 0, 0, 0, 1.51742553710938, 0, 0, 0, 0.110045909881592]
},
"content": {
"uri": "Tile_+038_+019/Tile_+038_+019.json"
},
"geometricError": 15.3121941995155
}, {
"boundingVolume": {
"box": [15.0548553466797, 457.191497802734, 5.52865505218506, 50.5630187988281, 0, 0, 0, 48.0430603027344, 0, 0, 0, 18.3740262985229]
},
"content": {
"uri": "Tile_+039_+018/Tile_+039_+018.json"
},
"geometricError": 72.1273828425906
}, {
"boundingVolume": {
"box": [-33.1613292694092, 505.072769165039, 3.53735184669495, 1.75724983215332, 0, 0, 0, 0.161758422851563, 0, 0, 0, 0.157356977462769]
},
"content": {
"uri": "Tile_+039_+019/Tile_+039_+019.json"
},
"geometricError": 1.77168111643222
}, {
"boundingVolume": {
"box": [93.4946136474609, 456.362838745117, 5.13061237335205, 29.0255737304688, 0, 0, 0, 45.5960540771484, 0, 0, 0, 17.7045965194702]
},
"content": {
"uri": "Tile_+040_+018/Tile_+040_+018.json"
},
"geometricError": 56.8765049533316
}],
"geometricError": 221.861093368121
}],
"geometricError": 221.861093368121,
"transform": [-0.859624213482753, -0.510926816280138, 0.0, 0.0, 0.268445326760204, -0.451653926798071, 0.850850067255383, 0.0, -0.434722115994534, 0.731411319856156, 0.525408567737061, 0.0, -2775282.77578321, 4669358.11021673, 3331774.10493865, 1.0]
}
}js源码：
// *****************************************************
// 功能：合并多个三维瓦片图层。
// +文件系统：
// -+合并图层目录
// --源图层目录符号链接...
// -+入口文件：tileset.json
// --+配置对象
// ----asset：预设对象
// ----geometricError：几何误差
// ---+root：场景根对象
// ----+boundingVolume：边界框对象
// ------box：包围盒数组
// ----+children：子对象数组
// -----+源图层子对象...
// ------+boundingVolume：子对象边界框对象
// --------box：子对象包围盒数组
// ------+content：子对象内容
// --------uri:子对象json|b3dm文件路径
// -------geometricError：子对象几何误差
// -------transform:子对象转换矩阵数组
// -----geometricError：几何误差
// -----transform:转换矩阵数组
// 算法：
// / 1： 判断合并图层目录是否存在，非追加时如已存在则在确认后清空，如不确认则退出，如不存在则创建。
// / 2：依次合并源图层目录。
// / 2.1：在合并图层目录下创建各源图层目录的符号链接。
// / 2.2：依次合并各图层的tileset文件。
// / 2.2.1：首次新建或读取图层配置对象。
// / 2.2.2：非追加合并：取首个源图层配置对象中的转换矩阵为全局转换矩阵。
// / 2.2.3：计算源图层配置对象中子对象的转换矩阵：全局转换矩阵的逆矩阵 x源图层配置对象的转换矩阵。
// / 2.2.4：将源图层配置对象中的子对象放入，并修改uri属性和符号链接对应。
// / 2.2.5：计算图层配置对象的外围框属性值：外围框坐标：（最大坐标+最小坐标）/2，外围框半长：（最大坐标-最小坐标）/2。
// / 2.2.6：计算图层配置对象的外围框几何误差值：外围框外包圆的直径。
// / 2.3：保存tileset文件。
// 用法：node 3DTileJoin <是否追加合并：1|0> <合并图层目录> <源图层目录>,...
// 输出：
// / 开始合并<合并图层目录>...
// / <源图层目录>已合并。
// *****************************************************
// 导入模块
const $m=
{
fs: require( "fs"),
path: require( "path"),
readline: require( "readline")
};
$m.matrix= new Matrix();
// 执行主函数
main();
// ******************* 【函数：主函数】 *********************
function main()
{
// ================== 取命令行参数 =================
var argIdx= 2; // 初始化参数索引
// 取参数：是否追加合并
var isAppend= process.argv[ argIdx++];
if( !isAppend)
return argErr( "缺少是否追加合并参数！");
isAppend= isAppend== 1? true: isAppend== 0? false: null;
if( isAppend== null)
return argErr( "是否追加合并参数错误！");
// 取参数：合并图层目录
var joinLayerPath= process.argv[ argIdx++];
if( !joinLayerPath)
return argErr( "缺少合并图层目录参数！");
joinLayerPath= $m.path.resolve( joinLayerPath); // 合并图层目录转绝对路径
// 取参数：源图层目录
var srcLayerPaths= delBlk( ( process.argv[ argIdx++]|| "").split( ",")); // 删除空值
if( !srcLayerPaths.length)
return argErr( "缺少源图层目录参数！");
// 源图层目录转绝对路径
for( var i= 0; i< srcLayerPaths.length; i++)
srcLayerPaths[ i]= $m.path.resolve( srcLayerPaths[ i]);
// 检测：源图层目录是否存在、源图层目录是否重复
for( var i= 0, srcLayerPathm= {}; i< srcLayerPaths.length; i++)
{
var srcLayerPath= srcLayerPaths[ i];
if( !$m.fs.existsSync( srcLayerPath))
return stdout( "源图层目录不存在："+ srcLayerPath);
else if( srcLayerPathm[ srcLayerPath])
return stdout( "源图层目录重复："+ srcLayerPath);
else
srcLayerPathm[ srcLayerPath]= 1;
}
// ================== 新建合并图层目录 ==================
// 合并图层目录已存在且非追加：确认后清空
var isExit= $m.fs.existsSync( joinLayerPath);
if( isExit&& !isAppend)
{
// 创建读行器
var rl= $m.readline.createInterface(
{
input: process.stdin,
output: process.stdout
});
// 输入参数：是否删除目录
rl.question( "请确认是否需要清空此目录："+ joinLayerPath+ "？(Y/N) ", function( answer)
{
rl.close(), answer= answer.toUpperCase();
answer== "Y"? ( emptyDir( joinLayerPath), joinLayer()) // 确认：清空
: answer== "N"? stdout( "未确认！退出。") //
: stdout( "输入错误！退出。"); // 不确认：退出
});
}
// 合并图层目录不存在：创建
else
!isExit&& $m.fs.mkdirSync( joinLayerPath), isAppend= false, joinLayer(); // 创建目录，强制为非追加
// 函数：合并图层
function joinLayer()
{
var joinCfgo, joinTrsfInv; // 定义合并图层配置对象、合并图层转换矩阵的逆矩阵
stdout( "开始合并"+ joinLayerPath+ "..."); // 输出：开始合并图层目录...
// 依次合并源图层目录
for( var i= 0; i< srcLayerPaths.length; i++)
{
var srcLayerPath= srcLayerPaths[ i], srcLayerNm= $m.path.parse( srcLayerPath).name; // 源图层路径、源图层目录名
var joinLinkPath= $m.path.join( joinLayerPath, srcLayerNm); // 合并图层链接路径（合并图层链接/源图层目录名）
// 创建源图层符号链接
isSymLinkSync( joinLinkPath)&& $m.fs.unlinkSync( joinLinkPath); // 源图层已存在：删除原先的符号链接
$m.fs.symlinkSync( srcLayerPath, joinLinkPath);
// 读取源图层的配置文件
var srcCfgo= readJsonFile( $m.path.join( srcLayerPath, "tileset.json"));
if( !srcCfgo)
continue; // 读取失败：继续下一个
// 首次：生成合并图层配置对象、取合并图层转换矩阵的逆矩阵
!i&& ( joinCfgo= !isAppend? // 非追加：初始化配置对象
{
"asset": srcCfgo.asset,
"geometricError": 0.0,
"root":
{
"boundingVolume":
{
"box": []
},
"children": [],
"geometricError": 0.0,
"transform": srcCfgo.root.transform
}
}
: readJsonFile( $m.path.join( joinLayerPath, "tileset.json")) // 追加：从合并图层中读取
, joinTrsfInv= $m.matrix.inv( $m.matrix.dConver( joinCfgo.root.transform))); // 取合并图层转换矩阵的逆矩阵
// 计算子对象的转换矩阵
var srcTrsf= $m.matrix.dConver( $m.matrix.mul( joinTrsfInv, $m.matrix.dConver( srcCfgo.root.transform)));
// 设置源图层子对象的转换矩阵
var srcRtChos= srcCfgo.root.children;
for( var l= 0; l< srcRtChos.length; l++)
{
var srcRtCho= srcRtChos[ l];
srcRtCho[ "transform"]= srcTrsf;
// 替换uri开头为源图层目录名
srcRtCho.content&& ( srcRtCho.content.uri= srcLayerNm+ "/"+ srcRtCho.content.uri);
for( var j= 0; j< ( srcRtCho.children|| []).length; j++)
srcRtCho.children[ j].content.uri= srcLayerNm+ "/"+ srcRtCho.children[ j].content.uri;
// 合并源图层子对象
for( var j= 0, chIdx= -1; j< joinCfgo.root.children.length&& chIdx== -1; j++)
{
var joinRtCh= joinCfgo.root.children[ j];
// 子对象无内层对象
if( joinRtCh.content&& srcRtCho.content&& joinRtCh.content.uri== srcRtCho.content.uri)
{
chIdx= j;
continue;
}
// 子对象有内存对象
else if( joinRtCh.children&& srcRtCho.children)
{
for( var k= 0, found= false; k< joinRtCh.children.length&& !found; k++)
joinRtCh.children[ k].content.uri!= srcRtCho.children[ k].content.uri&& ( found= true);
!found&& ( chIdx= j);
}
}
isAppend&& chIdx>= 0&& joinCfgo.root.children.splice( chIdx, 1); // 追加合并已存在源图层：覆盖
joinCfgo.root.children.push( srcRtCho);
}
// 输出：源图层目录已合并
stdout( srcLayerPath+ "已合并。");
}
// 计算合并图层配置对象外围框属性数值
var joinRtChs= joinCfgo.root.children;
// 最大的x坐标、最小的x坐标、最大的y坐标、最小的y坐标、最大的z坐标、最小的z坐标、最大的z轴半长
var maxX= null, minX= null, maxY= null, minY= null, maxZ= null, minZ= null;
for( var i= 0; i< joinRtChs.length; i++)
{
var joinRtCh= joinRtChs[ i];
var o= [ joinRtCh.boundingVolume.box[ 0]+ joinRtCh.transform[ 12], joinRtCh.boundingVolume.box[ 1]+ joinRtCh.transform[ 13], joinRtCh.boundingVolume.box[ 2]+ joinRtCh.transform[ 14]];
var r= [ joinRtCh.boundingVolume.box[ 3], joinRtCh.boundingVolume.box[ 7], joinRtCh.boundingVolume.box[ 11]];
var xa= [ o[ 0]- r[ 0], o[ 0]+ r[ 0]], ya= [ o[ 1]- r[ 1], o[ 1]+ r[ 1]], za= [ o[ 2]- r[ 2], o[ 2]+ r[ 2]];
minX= !i? xa[ 0]: Math.min( xa[ 0], minX), maxX= !i? xa[ 1]: Math.max( xa[ 1], maxX);
minY= !i? ya[ 0]: Math.min( ya[ 0], minY), maxY= !i? ya[ 1]: Math.max( ya[ 1], maxY);
minZ= !i? za[ 0]: Math.min( za[ 0], minZ), maxZ= !i? za[ 1]: Math.max( za[ 1], maxZ);
}
// 计算:最外层包围盒x轴坐标、最外层包围盒y轴坐标、最外层包围盒z轴坐标
var boxs= [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0];
boxs[ 0]= ( maxX+ minX)/ 2, boxs[ 1]= ( maxY+ minY)/ 2, boxs[ 2]= ( maxZ+ minZ)/ 2;
// 计算:最外层包围盒x轴半长、最外层包围盒y轴半长、最外层包围盒z轴半长
boxs[ 3]= ( maxX- minX)/ 2, boxs[ 7]= ( maxY- minY)/ 2, boxs[ 11]= ( maxZ- minZ)/ 2;
joinCfgo.root.boundingVolume.box= boxs;
// 计算:最外层包围盒几何误差值
var geometricError= Math.sqrt( Math.pow( boxs[ 3], 2)+ Math.pow( boxs[ 7], 2))* 2;
joinCfgo.geometricError= geometricError, joinCfgo.root.geometricError= geometricError;
// 保存tileset文件
try
{
$m.fs.writeFileSync( $m.path.join( joinLayerPath, "tileset.json"), JSON.stringify( joinCfgo));
}catch( e)
{
stdout( e);
}
// 提示完成
stdout( "图层合并完成。");
}
// 函数：参数错误
function argErr( err)
{
var msg= err+ "\n用法：node 3DTileJoin <是否追加合并：1|0> <合并图层目录> <源图层目录>,...";
stdout( msg);
}
// 函数：删除数组空元素
function delBlk( items)
{
for( var i= 0; i< items.length; i++)
!items[ i].trim()&& items.splice( i--, 1);
return items;
}
// 函数：判断文件是否为符号链接（考虑文件不存在的情况）
function isSymLinkSync( path)
{
var isSymLink= false;
try
{
isSymLink= $m.fs.lstatSync( path).isSymbolicLink();
}catch( e)
{
return false;
}
return isSymLink;
}
}
// *********************【函数：标准输出】 ************************
function stdout( msg)
{
console.log( msg);
}
// *********************【函数：读取单个json文件内容】 ************************
function readJsonFile( path)
{
try
{
var jsono= $m.fs.readFileSync( path), jsono= JSON.parse( jsono.toString());
return jsono;
}catch( e)
{
stdout( e);
stdout( "无法打开输入文件:"+ path);
}
}
// *********************【函数：清空目标目录】 ************************
function emptyDir( tarPath)
{
var sons= $m.fs.readdirSync( tarPath);
for( var i= 0; i< sons.length; i++)
{
var son= sons[ i], sonPath= $m.path.join( tarPath, son);
if( $m.fs.lstatSync( sonPath).isSymbolicLink()|| !$m.fs.statSync( sonPath).isDirectory())
$m.fs.unlinkSync( sonPath);
else
emptyDir( sonPath), $m.fs.rmdirSync( sonPath);
}
}
// 类：矩阵
function Matrix()
{
var to= this;
// ***********************【行列式】 ************************
this.det= function( ms)
{
// 矩阵阶数
var n= ms.length, detVal= 0;
// n阶矩阵求行列式
if( n> 3)
{
for( var column= 0; column< n; column++) // 去掉第 0行第column列的矩阵
{
var matrix= new Array( n- 1).fill( 0).map( function()
{
return new Array( n- 1).fill( 0);
});
for( var i= 0; i< n- 1; i++)
{
for( var j= 0; j< n- 1; j++)
j< column? matrix[ i][ j]= ms[ i+ 1][ j]: matrix[ i][ j]= ms[ i+ 1][ j+ 1];
}
detVal+= ms[ 0][ column]* Math.pow( -1, 0+ column)* to.det( matrix);
}
}
// 3阶矩阵求行列式
else if( n== 3)
detVal= ms[ 0][ 0]* ms[ 1][ 1]* ms[ 2][ 2]+ ms[ 0][ 1]* ms[ 1][ 2]* ms[ 2][ 0] //
+ ms[ 0][ 2]* ms[ 1][ 0]* ms[ 2][ 1]- ms[ 0][ 2]* ms[ 1][ 1]* ms[ 2][ 0] //
- ms[ 0][ 1]* ms[ 1][ 0]* ms[ 2][ 2]- ms[ 0][ 0]* ms[ 1][ 2]* ms[ 2][ 1];
// 2阶矩阵求行列式
else if( n== 2)
detVal= ms[ 0][ 0]* ms[ 1][ 1]- ms[ 0][ 1]* ms[ 1][ 0];
// 1阶矩阵求行列式
else if( n== 1)
detVal= ms[ 0][ 0];
return detVal;
}
// ************************* 【伴随矩阵】 *************************
this.adjoint= function( ms)
{
// 初始化二维矩阵（置零）
var adjM= new Array( ms.length).fill( 0).map( function()
{
return new Array( ms.length).fill( 0);
});
// 求各位置的代数余子式
for( var row= 0; row< ms.length; row++)
{
for( var column= 0; column< ms.length; column++) // 去掉第 row 行第 column 列的矩阵
{
// 求各位置的余子式
for( var i= 0, matrix= []; i< ms.length; i++)
{
if( i!= row)
{
for( var j= 0, arr= []; j< ms.length; j++)
j!= column&& arr.push( ms[ i][ j]);
matrix.push( arr);
}
}
// 求代数余子式
adjM[ row][ column]= Math.pow( -1, row+ column)* to.det( matrix);
}
}
// 转置后返回
return to.transpose( adjM);
}
// *********************** 【转置矩阵】 ************************
this.transpose= function( ms)
{
var transM= new Array( ms.length).fill( 0).map( function()
{
return new Array( ms[ 0].length).fill( 0);
});
for( var i= 0; i< transM.length; i++)
{
for( var j= 0; j< transM[ 0].length; j++)
transM[ i][ j]= ms[ j][ i];
}
return transM;
}
// *********************** 【逆矩阵】 ************************
this.inv= function( ms)
{
var detVal= to.det( ms), invM= to.adjoint( ms);
for( var i= 0; i< invM.length; i++)
{
for( var j= 0; j< invM.length; j++)
invM[ i][ j]/= detVal;
}
return invM;
}
// ********************** 【矩阵相乘】 **********************
this.mul= function( m1, m2)
{
var m3= [];
// 求m1的列数
for( var i= 0, cn1= 0; i< m1.length; i++)
cn1= Math.max( cn1, m1[ i].length);
// 求m2的列数
for( var i= 0, cn2= 0; i< m2.length; i++)
cn2= Math.max( cn2, m2[ i].length);
// 乘
for( var i= 0; i< m1.length; i++)
{
var l1= m1[ i], l3= m3[ i]= [];
for( var j= 0; j< cn2; j++)
{
l3[ j]= 0;
for( var l= 0; l< cn1; l++)
l3[ j]+= ( l1[ l]|| 0)* ( m2[ l][ j]|| 0);
}
}
return m3;
};
// ********************** 【矩阵数组维度转换】 **********************
// 一维矩阵数组转二维数组/二维矩阵数组转一维数组
this.dConver= function( ms)
{
var matrix, is2D= ms.every( function( item)
{
return Array.isArray( item);
});
// 二维转一维
if( is2D)
{
matrix= new Array( Math.pow( ms.length, 2)).fill( 0);
for( var i= 0; i< ms.length; i++)
{
var rows= ms[ i];
for( var j= 0; j< rows.length; j++)
matrix[ i+ j* rows.length]= rows[ j];
}
}
// 一维转二维
else
{
var n= Math.sqrt( ms.length); // 矩阵阶数
matrix= new Array( n).fill( 0).map( function()
{
return new Array( n).fill( 0);
});
for( var i= 0; i< ms.length; i++)
matrix[ i% n][ parseInt( i/ n)]= ms[ i];
}
return matrix;
}
}运行命令：
node D:\JAVA\3dtiles\js\3DTileJoin2_test 0 D:\JAVA\3dtiles\js_test_success D:\JAVA\3dtiles\data\aa,D:\JAVA\3dtiles\data\bb,D:\JAVA\3dtiles\data\cc,D:\JAVA\3dtiles\data\dd,D:\JAVA\3dtiles\data\ee
生成结果：
{
"asset": {
"generatetool": "cesiumlab2@www.cesiumlab.com/osgb2tiles3",
"version": "1.0"
},
"geometricError": 9325.869057604898,
"root": {
"boundingVolume": {
"box": [341.8290726169498, -1031.7488150345162, -5.334247002843764, 4289.988496445352, 0, 0, 0, 1827.2813467730307, 0, 0, 0, 40.59645403409377]
},
"children": [{
"boundingVolume": {
"box": [-3675.8994140625, 545.641296386719, 11.9535970687866, 272.260009765625, 0, 0, 0, 249.891235351563, 0, 0, 0, 23.3086099624634]
},
"children": [{
"boundingVolume": {
"box": [-3935.02001953125, 574.504516601563, 15.7210890054703, 13.139404296875, 0, 0, 0, 25.2759399414063, 0, 0, 0, 11.8160890340805]
},
"content": {
"uri": "aa/Tile_+002_+029/Tile_+002_+029.json"
},
"geometricError": 30.8405098086856
}, {
"boundingVolume": {
"box": [-3931.19152832031, 630.064575195313, 5.76587748527527, 9.6800537109375, 0, 0, 0, 30.9617309570313, 0, 0, 0, 1.63892340660095]
},
"content": {
"uri": "aa/Tile_+002_+030/Tile_+002_+030.json"
},
"geometricError": 32.4810451438208
}, {
"boundingVolume": {
"box": [-3872.32775878906, 566.557830810547, 15.5438475459814, 50.4261474609375, 0, 0, 0, 33.1085510253906, 0, 0, 0, 15.1476407200098]
},
"content": {
"uri": "aa/Tile_+003_+029/Tile_+003_+029.json"
},
"geometricError": 62.1966519849389
}, {
"boundingVolume": {
"box": [-3872.03454589844, 628.938293457031, 18.1283311843872, 50.4095458984375, 0, 0, 0, 30.4552612304688, 0, 0, 0, 14.090537071228]
},
"content": {
"uri": "aa/Tile_+003_+030/Tile_+003_+030.json"
},
"geometricError": 60.5573157368986
}, {
"boundingVolume": {
"box": [-3749.26013183594, 352.109008789063, 19.1447021961212, 26.1177978515625, 0, 0, 0, 46.5369567871094, 0, 0, 0, 15.1629683971405]
},
"content": {
"uri": "aa/Tile_+004_+027/Tile_+004_+027.json"
},
"geometricError": 55.4774127211521
}, {
"boundingVolume": {
"box": [-3740.12866210938, 448.188674926758, 9.04387199878693, 17.607421875, 0, 0, 0, 50.3167572021484, 0, 0, 0, 5.57954967021942]
},
"content": {
"uri": "aa/Tile_+004_+028/Tile_+004_+028.json"
},
"geometricError": 53.5997083475893
}, {
"boundingVolume": {
"box": [-3772.3740234375, 548.456268310547, 19.1229840517044, 50.480712890625, 0, 0, 0, 50.5904846191406, 0, 0, 0, 15.4035738706589]
},
"content": {
"uri": "aa/Tile_+004_+029/Tile_+004_+029.json"
},
"geometricError": 73.1092989703366
}, {
"boundingVolume": {
"box": [-3772.05346679688, 619.552154541016, 18.2076432704926, 50.41162109375, 0, 0, 0, 21.6935119628906, 0, 0, 0, 14.1500952243805]
},
"content": {
"uri": "aa/Tile_+004_+030/Tile_+004_+030.json"
},
"geometricError": 56.6759666652712
}, {
"boundingVolume": {
"box": [-3689.02783203125, 297.003692626953, 10.0964844226837, 5.725341796875, 0, 0, 0, 1.25363159179688, 0, 0, 0, 4.35963416099548]
},
"content": {
"uri": "aa/Tile_+005_+026/Tile_+005_+026.json"
},
"geometricError": 7.30462462257396
}, {
"boundingVolume": {
"box": [-3673.70959472656, 348.031799316406, 12.3951093554497, 50.5650634765625, 0, 0, 0, 50.4035339355469, 0, 0, 0, 10.4135625958443]
},
"content": {
"uri": "aa/Tile_+005_+027/Tile_+005_+027.json"
},
"geometricError": 72.1511203206034
}, {
"boundingVolume": {
"box": [-3673.11413574219, 447.839309692383, 6.34941649436951, 50.5919189453125, 0, 0, 0, 50.5899505615234, 0, 0, 0, 10.5448610782623]
},
"content": {
"uri": "aa/Tile_+005_+028/Tile_+005_+028.json"
},
"geometricError": 72.3192882676973
}, {
"boundingVolume": {
"box": [-3672.49230957031, 547.832534790039, 18.5858655571938, 50.5924072265625, 0, 0, 0, 50.5895843505859, 0, 0, 0, 16.6763414740562]
},
"content": {
"uri": "aa/Tile_+005_+029/Tile_+005_+029.json"
},
"geometricError": 73.4642639567206
}, {
"boundingVolume": {
"box": [-3671.8740234375, 647.7919921875, 11.636326789856, 50.582763671875, 0, 0, 0, 50.5528564453125, 0, 0, 0, 21.4873533248901]
},
"content": {
"uri": "aa/Tile_+005_+030/Tile_+005_+030.json"
},
"geometricError": 74.6720404728155
}, {
"boundingVolume": {
"box": [-3665.76831054688, 730.397674560547, 12.528514623642, 44.778076171875, 0, 0, 0, 33.1688537597656, 0, 0, 0, 19.6651880741119]
},
"content": {
"uri": "aa/Tile_+005_+031/Tile_+005_+031.json"
},
"geometricError": 59.0928810211615
}, {
"boundingVolume": {
"box": [-3622.38244628906, 395.646423339844, 5.87387609481812, 1.3489990234375, 0, 0, 0, 2.1663818359375, 0, 0, 0, 0.234408378601074]
},
"content": {
"uri": "aa/Tile_+006_+027/Tile_+006_+027.json"
},
"geometricError": 2.56280235528877
}, {
"boundingVolume": {
"box": [-3591.23608398438, 447.522384643555, 11.8303036689758, 32.471923828125, 0, 0, 0, 50.2840118408203, 0, 0, 0, 7.67854261398315]
},
"content": {
"uri": "aa/Tile_+006_+028/Tile_+006_+028.json"
},
"geometricError": 60.3478889488445
}, {
"boundingVolume": {
"box": [-3572.49584960938, 547.324279785156, 11.0218200683594, 50.58984375, 0, 0, 0, 50.475830078125, 0, 0, 0, 21.2449989318848]
},
"content": {
"uri": "aa/Tile_+006_+029/Tile_+006_+029.json"
},
"geometricError": 74.5552928526268
}, {
"boundingVolume": {
"box": [-3571.88171386719, 647.205322265625, 10.7785501480103, 50.5970458984375, 0, 0, 0, 50.5909423828125, 0, 0, 0, 22.133563041687]
},
"content": {
"uri": "aa/Tile_+006_+030/Tile_+006_+030.json"
},
"geometricError": 74.8959219033318
}, {
"boundingVolume": {
"box": [-3571.29382324219, 746.071563720703, 18.3907251358032, 50.5609130859375, 0, 0, 0, 49.4609680175781, 0, 0, 0, 14.5039548873901]
},
"content": {
"uri": "aa/Tile_+006_+031/Tile_+006_+031.json"
},
"geometricError": 72.2022021595952
}, {
"boundingVolume": {
"box": [-3509.61206054688, 576.114654541016, 6.37169981002808, 13.11669921875, 0, 0, 0, 21.0632019042969, 0, 0, 0, 1.91424798965454]
},
"content": {
"uri": "aa/Tile_+007_+029/Tile_+007_+029.json"
},
"geometricError": 24.8871576967365
}, {
"boundingVolume": {
"box": [-3478.34790039063, 646.816314697266, 16.745255947113, 44.12158203125, 0, 0, 0, 50.3578186035156, 0, 0, 0, 12.6729989051819]
},
"content": {
"uri": "aa/Tile_+007_+030/Tile_+007_+030.json"
},
"geometricError": 68.1412415259338
}, {
"boundingVolume": {
"box": [-3471.40478515625, 741.000762939453, 17.6509721279144, 50.4560546875, 0, 0, 0, 44.9321594238281, 0, 0, 0, 13.3580210208893]
},
"content": {
"uri": "aa/Tile_+007_+031/Tile_+007_+031.json"
},
"geometricError": 68.8705243969495
}, {
"boundingVolume": {
"box": [-3412.68273925781, 734.155242919922, 10.6947717666626, 9.0433349609375, 0, 0, 0, 17.5325012207031, 0, 0, 0, 5.41533184051514]
},
"content": {
"uri": "aa/Tile_+008_+031/Tile_+008_+031.json"
},
"geometricError": 20.4571827291191
}],
"geometricError": 740.579323830987,
"transform": [1, 0, 0, 0, 1.2432017357571995e-17, 1, -5.551115123125783e-17, 0, 1.1741393048713246e-17, 5.551115123125783e-17, 0.9999999999999998, 0, -2.7755747368212224e-10, 2.3283064365386963e-10, 0, 1]
}, {
"boundingVolume": {
"box": [1678.00695800781, -167.3508644104, 14.9421647787094, 237.2333984375, 0, 0, 0, 257.251705169678, 0, 0, 0, 13.2210794687271]
},
"children": [{
"boundingVolume": {
"box": [1456.77575683594, -283.401695251465, 9.57817316055298, 16.002197265625, 0, 0, 0, 49.5448379516602, 0, 0, 0, 5.28457307815552]
},
"content": {
"uri": "bb/Tile_+056_+021/Tile_+056_+021.json"
},
"geometricError": 52.3324755539293
}, {
"boundingVolume": {
"box": [1471.31585693359, -229.578811645508, 4.45599508285522, 1.51898193359375, 0, 0, 0, 4.85548400878906, 0, 0, 0, 0.0174999237060547]
},
"content": {
"uri": "bb/Tile_+056_+022/Tile_+056_+022.json"
},
"geometricError": 5.08756693533562
}, {
"boundingVolume": {
"box": [1531.82299804688, -348.998123168945, 10.2060108184814, 40.3277587890625, 0, 0, 0, 14.9526214599609, 0, 0, 0, 6.00887680053711]
},
"content": {
"uri": "bb/Tile_+057_+020/Tile_+057_+020.json"
},
"geometricError": 43.4282813138826
}, {
"boundingVolume": {
"box": [1522.18682861328, -284.460159301758, 9.90673196315765, 50.5840454101563, 0, 0, 0, 50.5893402099609, 0, 0, 0, 8.18564665317535]
},
"content": {
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},
"geometricError": 72.0071649495143
}, {
"boundingVolume": {
"box": [1522.80364990234, -184.549896240234, 9.43511211872101, 50.5891723632813, 0, 0, 0, 50.506591796875, 0, 0, 0, 5.92474162578583]
},
"content": {
"uri": "bb/Tile_+057_+022/Tile_+057_+022.json"
},
"geometricError": 71.7306262252761
}, {
"boundingVolume": {
"box": [1536.63287353516, -84.6287059783936, 10.7433174848557, 37.3843383789063, 0, 0, 0, 50.4350147247314, 0, 0, 0, 7.403111577034]
},
"content": {
"uri": "bb/Tile_+057_+023/Tile_+057_+023.json"
},
"geometricError": 63.2145990047746
}, {
"boundingVolume": {
"box": [1548.78259277344, 15.3128070831299, 11.0693670511246, 25.8543701171875, 0, 0, 0, 50.38356590271, 0, 0, 0, 7.47109162807465]
},
"content": {
"uri": "bb/Tile_+057_+024/Tile_+057_+024.json"
},
"geometricError": 57.120656310518
}, {
"boundingVolume": {
"box": [1557.44226074219, 77.4114685058594, 8.79704344272614, 17.3408203125, 0, 0, 0, 12.489372253418, 0, 0, 0, 5.12078511714935]
},
"content": {
"uri": "bb/Tile_+057_+025/Tile_+057_+025.json"
},
"geometricError": 21.9752339830746
}, {
"boundingVolume": {
"box": [1621.77416992188, -364.557540893555, 10.4570751190186, 50.3675537109375, 0, 0, 0, 30.0714874267578, 0, 0, 0, 6.32948684692383]
},
"content": {
"uri": "bb/Tile_+058_+020/Tile_+058_+020.json"
},
"geometricError": 59.0020951037097
}, {
"boundingVolume": {
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},
"content": {
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},
"geometricError": 72.0571490462324
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"boundingVolume": {
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},
"content": {
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},
"geometricError": 72.057572175005
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"boundingVolume": {
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},
"content": {
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},
"geometricError": 71.7584552136979
}, {
"boundingVolume": {
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},
"content": {
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},
"geometricError": 71.8362092102733
}, {
"boundingVolume": {
"box": [1624.42224121094, 76.6347541809082, 9.87600064277649, 50.348876953125, 0, 0, 0, 12.3346061706543, 0, 0, 0, 5.74333453178406]
},
"content": {
"uri": "bb/Tile_+058_+025/Tile_+058_+025.json"
},
"geometricError": 52.1549404310852
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}java源码：
Matrix.java
package org.example.threedtiles;
import org.apache.commons.math3.linear.Array2DRowRealMatrix;
import org.apache.commons.math3.linear.RealMatrix;
import java.util.ArrayList;
public class Matrix {
/**
* 一维转二维
*
* @param ms
* @return
*/
public static double[][] dConver(double[] ms) {
double[][] matrix;
int n = (int) Math.sqrt(ms.length);
matrix = new double[n][n];
for (int i = 0; i < ms.length; i++) {
int row = i % n;
int col = (int) Math.floor(i / n);
matrix[row][col] = ms[i];
}
return matrix;
}
/**
* 二维转一维
*
* @param
* @return
*/
public static double[] converttwotoone(double[][] ms) {
// 计算二维数组的元素个数
int totalElements = 0;
for (double[] row : ms) {
totalElements += row.length;
}
double matrix[] = new double[totalElements];
for (int i = 0; i < ms.length; i++) {
double[] rows = ms[i];
for (int j = 0; j < rows.length; j++)
matrix[i + j * rows.length] = rows[j];
}
return matrix;
}
static double det(double[][] ms) {
// 矩阵阶数
int n = ms.length;
double detVal = 0;
// n阶矩阵求行列式
if (n > 3) {
for (int column = 0; column < n; column++) // 去掉第 0行第column列的矩阵
{
double[][] matrix = new double[n - 1][n - 1];
for (int i = 0; i < n - 1; i++) {
for (int j = 0; j < n - 1; j++) {
if (j < column) {
matrix[i][j] = ms[i + 1][j];
} else {
matrix[i][j] = ms[i + 1][j + 1];
}
}
}
detVal += ms[0][column] * Math.pow(-1, 0 + column) * det(matrix);
}
}
// 3阶矩阵求行列式
else if (n == 3)
detVal = ms[0][0] * ms[1][1] * ms[2][2] + ms[0][1] * ms[1][2] * ms[2][0] //
+ ms[0][2] * ms[1][0] * ms[2][1] - ms[0][2] * ms[1][1] * ms[2][0] //
- ms[0][1] * ms[1][0] * ms[2][2] - ms[0][0] * ms[1][2] * ms[2][1];
// 2阶矩阵求行列式
else if (n == 2)
detVal = ms[0][0] * ms[1][1] - ms[0][1] * ms[1][0];
// 1阶矩阵求行列式
else if (n == 1)
detVal = ms[0][0];
return detVal;
}
/**
* 伴随矩阵
*
* @param
* @return
*/
public static double[][] adjoint(double[][] ms) {
double[][] adjM = new double[ms.length][ms.length];
for (int row = 0; row < ms.length; row++) {
for (int column = 0; column < ms.length; column++) { // 去掉第 row 行第 column 列的矩阵
ArrayList matrix = new ArrayList();
for (int i = 0; i < ms.length; i++) {
if (i != row) {
//double[] arr = new double[ms.length];
ArrayList arr = new ArrayList();
for (int j = 0; j < ms.length; j++) {
if (j != column) {
arr.add(ms[i][j]);
}
}
matrix.add(arr);
}
}
// 将arraylist转化为二维矩阵
double[][] matrix2 = new double[ms.length - 1][ms.length - 1];
matrix2 = convertArrayToTwo(matrix);
double a = Matrix.det(matrix2);
adjM[row][column] = (Math.pow(-1, row + column) * Matrix.det(matrix2));
}
}
// 转置并返回结果
return Matrix.transpose(adjM);
}
public static double[][] transpose(double[][] ms) {
double[][] transM = new double[ms.length][ms[0].length];
for (int i = 0; i < transM.length; i++) {
for (int j = 0; j < transM[0].length; j++) {
transM[i][j] = ms[j][i];
}
}
return transM;
}
/**
* 逆矩阵
*
* @param ms
* @return
*/
public static double[][] inv(double[][] ms) {
System.out.println("进入inv方法---");
RealMatrix a = new Array2DRowRealMatrix(ms);
double detVal = (int) (Matrix.det(a.getData()) + 0.5);
double[][] invM = Matrix.adjoint(ms);
for (int i = 0; i < invM.length; i++) {
for (int j = 0; j < invM.length; j++)
invM[i][j] /= detVal;
}
System.out.println("inv方法结束---");
return invM;
}
/**
* // ********************** 【矩阵相乘】 **********************
*
* @param m1
* @param m2
* @return
*/
public static double[][] mul(double[][] m1, double[][] m2) {
RealMatrix a = new Array2DRowRealMatrix(m1);
RealMatrix b = new Array2DRowRealMatrix(m2);
RealMatrix actual = a.multiply(b);
return actual.getData();
}
private static double[][] convertArrayToTwo(ArrayList matrix) {
// 将arraylist转化为一维数组
double tra[][] = new double[matrix.size()][((ArrayList) matrix.get(0)).size()];
for (int i = 0; i < matrix.size(); i++) {
for (int j = 0; j < ((ArrayList) matrix.get(0)).size(); j++) {
tra[i][j] = (double) ((ArrayList) matrix.get(i)).get(j);
}
}
return tra;
}
}
ThreeDTilesJoin2.java
package org.example.threedtiles;
import com.alibaba.fastjson.JSON;
import com.alibaba.fastjson.JSONArray;
import com.alibaba.fastjson.JSONObject;
import java.io.File;
import java.io.FileWriter;
import java.io.IOException;
import java.math.BigDecimal;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.util.ArrayList;
import java.util.Scanner;
public class ThreeDTilesJoin2 {
public static void main(String[] args) throws IOException {
// 取参数：是否追加合并
Scanner scanner = new Scanner(System.in); // 创建Scanner对象
// System.out.println("请输入追加合并参数0/1：");
//int isAppendInt = scanner.nextInt(); // 接受用户输入的一行文本
int isAppendInt = 0; // 接受用户输入的一行文本
Boolean isAppend = isAppendInt == 1 ? true : isAppendInt == 0 ? false : null;
// 取参数：合并图层目录
System.out.println("请输入合并图层目标目录（绝对目录）：");
// String joinLayerPath = scanner.next();
String joinLayerPath = "D:\\JAVA\\3dtiles\\java_test";
// 取参数：源图层目录
System.out.println("请输入源图层目录(多个目录用‘，’隔开)：");
// String srcLayerPaths = scanner.next();
String srcLayerPaths = "D:\\JAVA\\3dtiles\\data\\aa,D:\\JAVA\\3dtiles\\data\\bb,D:\\JAVA\\3dtiles\\data\\cc,D:\\JAVA\\3dtiles\\data\\dd,D:\\JAVA\\3dtiles\\data\\ee";
// ================== 新建合并图层目录 ==================
// 合并图层目录已存在且非追加：确认后清空
File joinLayerFile = new File(joinLayerPath);
if (joinLayerFile.exists() && !isAppend) {
joinLayer(joinLayerPath, srcLayerPaths.split(","), isAppend);
} else {
// 合并图层目录不存在：创建
if (!joinLayerFile.exists()) {
joinLayerFile.mkdirs();
}
isAppend = Boolean.FALSE;
joinLayer(joinLayerPath, srcLayerPaths.split(","), isAppend);
}
scanner.close(); // 关闭scanner对象
}
public static JSONObject readJsonFile(String path) throws IOException {
String jsonString = "";
jsonString = new String(Files.readAllBytes(Paths.get(path)));
return JSON.parseObject(jsonString);
}
// 将jsonarray转化为一维数组
public static double[] converttoone(JSONArray jsonArray) {
// 将arraylist转化为一维数组
double tra[] = new double[jsonArray.size()];
for (int i = 0; i < jsonArray.size(); i++) {
tra[i] = jsonArray.getDoubleValue(i);
}
return tra;
}
// 函数：合并图层
public static void joinLayer(String joinLayerPath, String[] srcLayerPaths, Boolean isAppend) throws IOException {
JSONObject joinCfgo = new JSONObject();
double[][] joinTrsfInv = new double[4][4];
System.out.println("开始合并..." + joinLayerPath);
// 依次合并源图层目录
ArrayList srcRtChoList = new ArrayList();
for (int i = 0; i < srcLayerPaths.length; i++) {
String srcLayerPath = srcLayerPaths[i];
System.out.println("开始合并目录" + srcLayerPath);
// 读取源图层的配置文件
JSONObject srcCfgo = readJsonFile(srcLayerPath + "\\" + "tileset.json");
if (srcCfgo == null) {
continue; // 读取失败：继续下一个
}
// 首次：生成合并图层配置对象、取合并图层转换矩阵的逆矩阵
if (i == 0) {
JSONObject asset = new JSONObject();
asset.put("asset", srcCfgo.get("asset"));
asset.put("geometricError", 0.0);
JSONObject root = new JSONObject();
JSONObject boundingVolume = new JSONObject();
boundingVolume.put("box", new JSONArray());
root.put("boundingVolume", boundingVolume);
root.put("children", new JSONArray());
root.put("geometricError", 0.0);
root.put("transform", srcCfgo.getJSONObject("root").getJSONArray("transform"));
asset.put("root", root);
joinCfgo = !isAppend ? // 非追加：初始化配置对象
asset
: readJsonFile(joinLayerPath + "\\" + "tileset.json"); // 追加：从合并图层中读取
// 取合并图层转换矩阵的逆矩阵
double[] a = converttoone(joinCfgo.getJSONObject("root").getJSONArray("transform"));
double[][] a2 = Matrix.dConver(a);
joinTrsfInv = Matrix.inv(a2); // 取合并图层转换矩阵的逆矩阵
}
// 计算子对象的转换矩阵
double[] b = converttoone(srcCfgo.getJSONObject("root").getJSONArray("transform"));
double[] srcTrsf = Matrix.converttwotoone(Matrix.mul(joinTrsfInv, Matrix.dConver(b)));
// 设置源图层子对象的转换矩阵
JSONArray srcRtChos = srcCfgo.getJSONObject("root").getJSONArray("children");
for (int l = 0; l < srcRtChos.size(); l++) {
JSONObject srcRtCho = srcRtChos.getJSONObject(l);
//JSONObject srcRtCho = new JSONObject();
srcRtCho.put("transform", srcTrsf);
// 替换uri开头为源图层目录名
if (srcRtCho.getString("content") != null) {
srcRtCho.getJSONObject("content").put("uri", srcLayerPath + "/" + srcRtCho.getJSONObject("content").getString("uri"));
}
for (int j = 0; j < srcRtCho.getJSONArray("children").size(); j++) {
srcRtCho.getJSONArray("children").getJSONObject(j).getJSONObject("content").put("uri", srcLayerPath + "/" + srcRtCho.getJSONArray("children").getJSONObject(j).getJSONObject("content").getString("uri"));
}
// 合并源图层子对象
int chIdx = -1;
for (int j = 0; j < joinCfgo.getJSONObject("root").getJSONArray("children").size() && chIdx == -1; j++) {
JSONObject joinRtCh = joinCfgo.getJSONObject("root").getJSONArray("children").getJSONObject(j);
// 子对象无内层对象
if (joinRtCh.getJSONObject("content") != null && srcRtCho.getJSONObject("content") != null && joinRtCh.getJSONObject("content").getString("uri").equals(srcRtCho.getJSONObject("content").getString("uri"))) {
chIdx = j;
continue;
}
// 子对象有内存对象
if (joinRtCh.getJSONArray("children") != null && srcRtCho.getJSONArray("children") != null) {
Boolean found = false;
for (int k = 0; k < joinRtCh.getJSONArray("children").size() && !found; k++) {
if (!joinRtCh.getJSONArray("children").getJSONObject(k).getJSONObject("content").getString("uri").equals(srcRtCho.getJSONArray("children").getJSONObject(k).getJSONObject("content").getString("uri"))) {
found = true;
}
}
if (!found) {
chIdx = j;
}
}
}
if (isAppend && chIdx >= 0) {
joinCfgo.getJSONObject("root").getJSONArray("children").get(chIdx); // 追加合并已存在源图层：覆盖
}
srcRtChoList.add(srcRtCho);
}
System.out.println(srcLayerPath + " 已合并。");
}
joinCfgo.getJSONObject("root").put("children", srcRtChoList);
System.out.println("全部已合并。");
// 计算合并图层配置对象外围框属性数值
JSONArray joinRtChs = joinCfgo.getJSONObject("root").getJSONArray("children");
// 最大的x坐标、最小的x坐标、最大的y坐标、最小的y坐标、最大的z坐标、最小的z坐标、最大的z轴半长
double maxX = 0.0, minX = 0.0, maxY = 0.0, minY = 0.0, maxZ = 0.0, minZ = 0.0;
for (int i = 0; i < joinRtChs.size(); i++) {
JSONObject joinRtCh = joinRtChs.getJSONObject(i);
double[] o = new double[]{
((BigDecimal) joinRtCh.getJSONObject("boundingVolume").getJSONArray("box").get(0)).doubleValue() +
((double) (joinRtCh.getJSONArray("transform").get(12))),
((BigDecimal) joinRtCh.getJSONObject("boundingVolume").getJSONArray("box").get(1)).doubleValue() +
((double) (joinRtCh.getJSONArray("transform").get(13))),
((BigDecimal) joinRtCh.getJSONObject("boundingVolume").getJSONArray("box").get(2)).doubleValue()
+ ((double) joinRtCh.getJSONArray("transform").get(14))
};
double[] r = new double[]{
((BigDecimal) joinRtCh.getJSONObject("boundingVolume").getJSONArray("box").get(3)).doubleValue(),
((BigDecimal) joinRtCh.getJSONObject("boundingVolume").getJSONArray("box").get(7)).doubleValue(),
((BigDecimal) joinRtCh.getJSONObject("boundingVolume").getJSONArray("box").get(11)).doubleValue()
};
double[] xa = new double[]{o[0] - r[0], o[0] + r[0]};
double[] ya = new double[]{o[1] - r[1], o[1] + r[1]};
double[] za = new double[]{o[2] - r[2], o[2] + r[2]};
if (i == 0) {
minX = xa[0];
maxX = xa[1];
minY = ya[0];
maxY = ya[1];
minZ = za[0];
maxZ = za[1];
} else {
minX = Math.min(xa[0], minX);
maxX = Math.max(xa[1], maxX);
minY = Math.min(ya[0], minY);
maxY = Math.max(ya[1], maxY);
minZ = Math.min(za[0], minZ);
maxZ = Math.max(za[1], maxZ);
}
}
// 计算:最外层包围盒x轴坐标、最外层包围盒y轴坐标、最外层包围盒z轴坐标
double[] boxs = new double[]{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
boxs[0] = (maxX + minX) / 2;
boxs[1] = (maxY + minY) / 2;
boxs[2] = (maxZ + minZ) / 2;
// 计算:最外层包围盒x轴半长、最外层包围盒y轴半长、最外层包围盒z轴半长
boxs[3] = (maxX - minX) / 2;
boxs[7] = (maxY - minY) / 2;
boxs[11] = (maxZ - minZ) / 2;
joinCfgo.getJSONObject("root").getJSONObject("boundingVolume").put("box", boxs);
// 计算:最外层包围盒几何误差值
double geometricError = (double) Math.sqrt(Math.pow(boxs[3], 2) + Math.pow(boxs[7], 2)) * 2;
joinCfgo.put("geometricError", geometricError);
joinCfgo.getJSONObject("root").put("geometricError", geometricError);
// 保存tileset文件
try (FileWriter writer = new FileWriter(joinLayerPath + "\\" + "tileset.json")) {
if (new File(joinLayerPath + "\\" + "tileset.json").exists()) {
new File(joinLayerPath + "\\" + "tileset.json").delete();
}
writer.write(String.valueOf(joinCfgo));
} catch (IOException e) {
e.printStackTrace();
}
// 提示完成
System.out.println("图层合并完成。");
}
}
pom文件
<!-- https://mvnrepository.com/artifact/org.apache.commons/commons-math3 -->
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-math3</artifactId>
<version>3.6.1</version>
</dependency>运行程序：
D:\JAVA\3dtiles\java_test
D:\JAVA\3dtiles\data\aa,D:\JAVA\3dtiles\data\bb,D:\JAVA\3dtiles\data\cc,D:\JAVA\3dtiles\data\dd,D:\JAVA\3dtiles\data\ee
生成合成文件
{
"geometricError": 9325.869057604898,
"root": {
"geometricError": 9325.869057604898,
"transform": [-0.860048066843865, -0.510213017001851, 0.0, 0.0, 0.268197168561964, -0.452090496848062, 0.850696456695934, 0.0, -0.434036405723617, 0.731639843052264, 0.525657244376012, 0.0, -2770907.60361716, 4670821.10507043, 3333353.96012987, 1.0],
"children": [{
"geometricError": 740.579323830987,
"transform": [1.0, 0.0, 0.0, 0.0, 1.2432017357571995E-17, 1.0, -5.551115123125783E-17, 0.0, 1.1741393048713246E-17, 5.551115123125783E-17, 0.9999999999999998, 0.0, -2.7755747368212224E-10, 2.3283064365386963E-10, 0.0, 1.0],
"children": [{
"geometricError": 30.8405098086856,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+002_+029/Tile_+002_+029.json"
},
"boundingVolume": {
"box": [-3935.02001953125, 574.504516601563, 15.7210890054703, 13.139404296875, 0, 0, 0, 25.2759399414063, 0, 0, 0, 11.8160890340805]
}
}, {
"geometricError": 32.4810451438208,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+002_+030/Tile_+002_+030.json"
},
"boundingVolume": {
"box": [-3931.19152832031, 630.064575195313, 5.76587748527527, 9.6800537109375, 0, 0, 0, 30.9617309570313, 0, 0, 0, 1.63892340660095]
}
}, {
"geometricError": 62.1966519849389,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+003_+029/Tile_+003_+029.json"
},
"boundingVolume": {
"box": [-3872.32775878906, 566.557830810547, 15.5438475459814, 50.4261474609375, 0, 0, 0, 33.1085510253906, 0, 0, 0, 15.1476407200098]
}
}, {
"geometricError": 60.5573157368986,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+003_+030/Tile_+003_+030.json"
},
"boundingVolume": {
"box": [-3872.03454589844, 628.938293457031, 18.1283311843872, 50.4095458984375, 0, 0, 0, 30.4552612304688, 0, 0, 0, 14.090537071228]
}
}, {
"geometricError": 55.4774127211521,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+004_+027/Tile_+004_+027.json"
},
"boundingVolume": {
"box": [-3749.26013183594, 352.109008789063, 19.1447021961212, 26.1177978515625, 0, 0, 0, 46.5369567871094, 0, 0, 0, 15.1629683971405]
}
}, {
"geometricError": 53.5997083475893,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+004_+028/Tile_+004_+028.json"
},
"boundingVolume": {
"box": [-3740.12866210938, 448.188674926758, 9.04387199878693, 17.607421875, 0, 0, 0, 50.3167572021484, 0, 0, 0, 5.57954967021942]
}
}, {
"geometricError": 73.1092989703366,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+004_+029/Tile_+004_+029.json"
},
"boundingVolume": {
"box": [-3772.3740234375, 548.456268310547, 19.1229840517044, 50.480712890625, 0, 0, 0, 50.5904846191406, 0, 0, 0, 15.4035738706589]
}
}, {
"geometricError": 56.6759666652712,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+004_+030/Tile_+004_+030.json"
},
"boundingVolume": {
"box": [-3772.05346679688, 619.552154541016, 18.2076432704926, 50.41162109375, 0, 0, 0, 21.6935119628906, 0, 0, 0, 14.1500952243805]
}
}, {
"geometricError": 7.30462462257396,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+005_+026/Tile_+005_+026.json"
},
"boundingVolume": {
"box": [-3689.02783203125, 297.003692626953, 10.0964844226837, 5.725341796875, 0, 0, 0, 1.25363159179688, 0, 0, 0, 4.35963416099548]
}
}, {
"geometricError": 72.1511203206034,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+005_+027/Tile_+005_+027.json"
},
"boundingVolume": {
"box": [-3673.70959472656, 348.031799316406, 12.3951093554497, 50.5650634765625, 0, 0, 0, 50.4035339355469, 0, 0, 0, 10.4135625958443]
}
}, {
"geometricError": 72.3192882676973,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+005_+028/Tile_+005_+028.json"
},
"boundingVolume": {
"box": [-3673.11413574219, 447.839309692383, 6.34941649436951, 50.5919189453125, 0, 0, 0, 50.5899505615234, 0, 0, 0, 10.5448610782623]
}
}, {
"geometricError": 73.4642639567206,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+005_+029/Tile_+005_+029.json"
},
"boundingVolume": {
"box": [-3672.49230957031, 547.832534790039, 18.5858655571938, 50.5924072265625, 0, 0, 0, 50.5895843505859, 0, 0, 0, 16.6763414740562]
}
}, {
"geometricError": 74.6720404728155,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+005_+030/Tile_+005_+030.json"
},
"boundingVolume": {
"box": [-3671.8740234375, 647.7919921875, 11.636326789856, 50.582763671875, 0, 0, 0, 50.5528564453125, 0, 0, 0, 21.4873533248901]
}
}, {
"geometricError": 59.0928810211615,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+005_+031/Tile_+005_+031.json"
},
"boundingVolume": {
"box": [-3665.76831054688, 730.397674560547, 12.528514623642, 44.778076171875, 0, 0, 0, 33.1688537597656, 0, 0, 0, 19.6651880741119]
}
}, {
"geometricError": 2.56280235528877,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+006_+027/Tile_+006_+027.json"
},
"boundingVolume": {
"box": [-3622.38244628906, 395.646423339844, 5.87387609481812, 1.3489990234375, 0, 0, 0, 2.1663818359375, 0, 0, 0, 0.234408378601074]
}
}, {
"geometricError": 60.3478889488445,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+006_+028/Tile_+006_+028.json"
},
"boundingVolume": {
"box": [-3591.23608398438, 447.522384643555, 11.8303036689758, 32.471923828125, 0, 0, 0, 50.2840118408203, 0, 0, 0, 7.67854261398315]
}
}, {
"geometricError": 74.5552928526268,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+006_+029/Tile_+006_+029.json"
},
"boundingVolume": {
"box": [-3572.49584960938, 547.324279785156, 11.0218200683594, 50.58984375, 0, 0, 0, 50.475830078125, 0, 0, 0, 21.2449989318848]
}
}, {
"geometricError": 74.8959219033318,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+006_+030/Tile_+006_+030.json"
},
"boundingVolume": {
"box": [-3571.88171386719, 647.205322265625, 10.7785501480103, 50.5970458984375, 0, 0, 0, 50.5909423828125, 0, 0, 0, 22.133563041687]
}
}, {
"geometricError": 72.2022021595952,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+006_+031/Tile_+006_+031.json"
},
"boundingVolume": {
"box": [-3571.29382324219, 746.071563720703, 18.3907251358032, 50.5609130859375, 0, 0, 0, 49.4609680175781, 0, 0, 0, 14.5039548873901]
}
}, {
"geometricError": 24.8871576967365,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+007_+029/Tile_+007_+029.json"
},
"boundingVolume": {
"box": [-3509.61206054688, 576.114654541016, 6.37169981002808, 13.11669921875, 0, 0, 0, 21.0632019042969, 0, 0, 0, 1.91424798965454]
}
}, {
"geometricError": 68.1412415259338,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+007_+030/Tile_+007_+030.json"
},
"boundingVolume": {
"box": [-3478.34790039063, 646.816314697266, 16.745255947113, 44.12158203125, 0, 0, 0, 50.3578186035156, 0, 0, 0, 12.6729989051819]
}
}, {
"geometricError": 68.8705243969495,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+007_+031/Tile_+007_+031.json"
},
"boundingVolume": {
"box": [-3471.40478515625, 741.000762939453, 17.6509721279144, 50.4560546875, 0, 0, 0, 44.9321594238281, 0, 0, 0, 13.3580210208893]
}
}, {
"geometricError": 20.4571827291191,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\aa/Tile_+008_+031/Tile_+008_+031.json"
},
"boundingVolume": {
"box": [-3412.68273925781, 734.155242919922, 10.6947717666626, 9.0433349609375, 0, 0, 0, 17.5325012207031, 0, 0, 0, 5.41533184051514]
}
}],
"boundingVolume": {
"box": [-3675.8994140625, 545.641296386719, 11.9535970687866, 272.260009765625, 0, 0, 0, 249.891235351563, 0, 0, 0, 23.3086099624634]
}
}, {
"geometricError": 700.379674431607,
"transform": [1.0, 0.0, 0.0, 0.0, 1.2432017357571995E-17, 1.0, -5.551115123125783E-17, 0.0, 1.1741393048713246E-17, 5.551115123125783E-17, 0.9999999999999998, 0.0, -2.7755747368212224E-10, 2.3283064365386963E-10, 0.0, 1.0],
"children": [{
"geometricError": 52.3324755539293,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\bb/Tile_+056_+021/Tile_+056_+021.json"
},
"boundingVolume": {
"box": [1456.77575683594, -283.401695251465, 9.57817316055298, 16.002197265625, 0, 0, 0, 49.5448379516602, 0, 0, 0, 5.28457307815552]
}
}, {
"geometricError": 5.08756693533562,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\bb/Tile_+056_+022/Tile_+056_+022.json"
},
"boundingVolume": {
"box": [1471.31585693359, -229.578811645508, 4.45599508285522, 1.51898193359375, 0, 0, 0, 4.85548400878906, 0, 0, 0, 0.0174999237060547]
}
}, {
"geometricError": 43.4282813138826,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\bb/Tile_+057_+020/Tile_+057_+020.json"
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"uri": "D:\\JAVA\\3dtiles\\data\\ee/Tile_+039_+019/Tile_+039_+019.json"
},
"boundingVolume": {
"box": [-33.1613292694092, 505.072769165039, 3.53735184669495, 1.75724983215332, 0, 0, 0, 0.161758422851563, 0, 0, 0, 0.157356977462769]
}
}, {
"geometricError": 56.8765049533316,
"content": {
"uri": "D:\\JAVA\\3dtiles\\data\\ee/Tile_+040_+018/Tile_+040_+018.json"
},
"boundingVolume": {
"box": [93.4946136474609, 456.362838745117, 5.13061237335205, 29.0255737304688, 0, 0, 0, 45.5960540771484, 0, 0, 0, 17.7045965194702]
}
}],
"boundingVolume": {
"box": [24.9149742126465, 458.556976318359, 5.52865505218506, 97.6052131652832, 0, 0, 0, 49.4085388183594, 0, 0, 0, 18.3740262985229]
}
}],
"boundingVolume": {
"box": [341.8290726169498, -1031.7488150345162, -5.334247002843764, 4289.988496445352, 0.0, 0.0, 0.0, 1827.2813467730307, 0.0, 0.0, 0.0, 40.59645403409377]
}
},
"asset": {
"generatetool": "cesiumlab2@www.cesiumlab.com/osgb2tiles3",
"version": "1.0"
}
}遇到的问题：
求矩阵行列式时，使用工具包LUDecomposition计算时，以下矩阵结果为0，和js中相同矩阵计算结果（-8.326672684688674e-17）不同，原矩阵：0.268197168561964,-0.434036405723617,-2770907.60361716,
-0.452090496848062,0.731639843052264,4670821.10507043,
0,0,1
static double det(double[][] ms) {
RealMatrix matrix = new Array2DRowRealMatrix(ms);
LUDecomposition lu1 = new LUDecomposition(matrix);
System.out.println("det方法结束");
}
求矩阵运算的jar包：Apache Commons Math
<!-- https://mvnrepository.com/artifact/org.apache.commons/commons-math3 -->
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-math3</artifactId>
<version>3.6.1</version>
</dependency>计算代数余子式
import org.apache.commons.math3.linear.MatrixUtils;
import org.apache.commons.math3.linear.RealMatrix;
import org.apache.commons.math3.linear.SingularValueDecomposition;
public class MatrixExample {
public static void main(String[] args) {
double[][] matrixData = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
RealMatrix matrix = MatrixUtils.createRealMatrix(matrixData);
// 获取子矩阵
RealMatrix subMatrix = matrix.getSubMatrix(0, 1, 0, 1);
// 计算子矩阵的行列式值
double minorDeterminant = subMatrix.getDeterminant();
System.out.println("代数余子式的行列式值为: " + minorDeterminant);
}
}
计算行列式
import org.apache.commons.math3.linear.Array2DRowRealMatrix;
import org.apache.commons.math3.linear.LUDecomposition;
import org.apache.commons.math3.linear.RealMatrix;
public class Main {
public static void main(String[] args) {
// 创建一个二维数组表示矩阵
double[][] matrixData = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
// 将二维数组转换为实数矩阵对象
RealMatrix matrix = new Array2DRowRealMatrix(matrixData);
// 创建LUDecomposition对象
LUDecomposition luDecomposition = new LUDecomposition(matrix);
// 获取行列式的值
double determinant = luDecomposition.getDeterminant();
// 打印行列式的值
System.out.println("Determinant of the matrix: " + determinant);
}
}
转置矩阵
import org.apache.commons.math3.linear.Array2DRowRealMatrix;
import org.apache.commons.math3.linear.RealMatrix;
public class Main {
public static void main(String[] args) {
// 创建一个二维数组表示矩阵
double[][] matrixData = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
// 将二维数组转换为实数矩阵对象
RealMatrix matrix = new Array2DRowRealMatrix(matrixData);
// 计算矩阵的转置
RealMatrix transposedMatrix = matrix.transpose();
// 打印转置后的矩阵
System.out.println("Original Matrix:");
printMatrix(matrix);
System.out.println("\nTransposed Matrix:");
printMatrix(transposedMatrix);
}
// 辅助方法：打印矩阵
public static void printMatrix(RealMatrix matrix) {
int rows = matrix.getRowDimension();
int columns = matrix.getColumnDimension();
for (int i = 0; i < rows; i++) {
for (int j = 0; j < columns; j++) {
System.out.print(matrix.getEntry(i, j) + "\t");
}
System.out.println();
}
}
}
计算逆矩阵
import org.apache.commons.math3.linear.Array2DRowRealMatrix;
import org.apache.commons.math3.linear.DecompositionSolver;
import org.apache.commons.math3.linear.LUDecomposition;
import org.apache.commons.math3.linear.RealMatrix;
public class Main {
public static void main(String[] args) {
// 创建一个二维数组表示矩阵
double[][] matrixData = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
// 将二维数组转换为实数矩阵对象
RealMatrix matrix = new Array2DRowRealMatrix(matrixData);
// 创建LUDecomposition对象
LUDecomposition luDecomposition = new LUDecomposition(matrix);
// 获取分解求解器
DecompositionSolver solver = luDecomposition.getSolver();
// 计算逆矩阵
RealMatrix inverseMatrix = solver.getInverse();
// 打印逆矩阵
System.out.println("Original Matrix:");
printMatrix(matrix);
System.out.println("\nInverse Matrix:");
printMatrix(inverseMatrix);
}
// 辅助方法：打印矩阵
public static void printMatrix(RealMatrix matrix) {
int rows = matrix.getRowDimension();
int columns = matrix.getColumnDimension();
for (int i = 0; i < rows; i++) {
for (int j = 0; j < columns; j++) {
System.out.print(matrix.getEntry(i, j) + "\t");
}
System.out.println();
}
}
}
矩阵相乘
public static double[][] mul(double[][] m1, double[][] m2) {
RealMatrix a = new Array2DRowRealMatrix(m1);
RealMatrix b = new Array2DRowRealMatrix(m2);
RealMatrix actual = a.multiply(b);
return actual.getData();
}需要注意
这个uri需要是相对目录，需要能从当前合并后的tileset目录下，找到top目录下的某个json，所以如果要直接使用上述java代码，还需要修改下uri的赋值
