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代码资源：IoU_P_R.py

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1. 基础概念

1.1 TP、TN、FP、FN

1.2 IoU

1.3 Precision（P）、Recall（R）、F1-score

• 查准率 Precision（P）：$$P=\frac{TP}{TP+FP}$$
• 查全率 Recall（R）：$$R=\frac{TP}{TP+FN}$$
• F1-score：$$\begin{array}{rl}& F_1=\frac{2\times P\times R}{P+R}\end{array}$$

根据IoU可以计算Precision（P）、Recall（R），若真实框和预测框的IoU大于IoU阈值，则视为TP，否则视为FP，则FN=真实框数-TP。

2. python代码

 
# Calculate precision and recall for object detection
def calculate_precision_recall(detected_boxes, true_boxes, iou_threshold):
    """
    Calculate precision and recall for object detection
    :param detected_boxes: list of detected bounding boxes in format [xmin, ymin, xmax, ymax]
    :param true_boxes: list of true bounding boxes in format [xmin, ymin, xmax, ymax]
    :param iou_threshold: intersection over union threshold for matching detected and true boxes
    :return: precision and recall
    """
    num_true_boxes = len(true_boxes)
    num_detected_boxes = len(detected_boxes)
    true_positives = 0
    false_positives = 0
    false_negatives = 0
    for detected_box in detected_boxes:
        max_iou = 0
        for true_box in true_boxes:
            iou = calculate_iou(detected_box, true_box)
            if iou > max_iou:
                max_iou = iou
        if max_iou >= iou_threshold:
            true_positives += 1
        else:
            false_positives += 1
    false_negatives = num_true_boxes - true_positives
    precision = true_positives / (true_positives + false_positives)
    recall = true_positives / (true_positives + false_negatives)
    return precision, recall

def calculate_iou(box1, box2):
    """
    Calculate intersection over union (IoU) between two bounding boxes
    :param box1: bounding box in format [xmin, ymin, xmax, ymax]
    :param box2: bounding box in format [xmin, ymin, xmax, ymax]
    :return: IoU between box1 and box2
    """
    x1 = max(box1[0], box2[0])
    y1 = max(box1[1], box2[1])
    x2 = min(box1[2], box2[2])
    y2 = min(box1[3], box2[3])
    intersection = max(0, x2 - x1) * max(0, y2 - y1)
    area_box1 = (box1[2] - box1[0]) * (box1[3] - box1[1])
    area_box2 = (box2[2] - box2[0]) * (box2[3] - box2[1])
    union = area_box1 + area_box2 - intersection
    iou = intersection / union
    return iou

3. 总结

• 本文介绍了用python计算目标检测中的IoU以及TP、FP、FN、precision、recall等指标的方法和原理。
• IoU是交并比，表示预测框和真实框之间的重叠程度，用交集面积除以并集面积得到。
• TP、TN、FP、FN分别表示真正例、真负例、假正例和假负例，用于评估分类器的正确性。
• Precision是预测为正例的样本中的准确率，Recall是预测正确的正例占所有正例的比例，二者需要综合考虑。