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· 坐标先说清：连续 xyxy，不加一 · 实现代码","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-0218ce7eb431703bd7692e33","nextBlock":"b-a0eb0898c05f1ee233bcdded","prerequisites":[{"id":"b-d3ebd038f0a1adf03bea7614","url":"#b-d3ebd038f0a1adf03bea7614","role":"section-title"},{"id":"b-805b4e51e671af5bea9bef02","url":"#b-805b4e51e671af5bea9bef02","role":"problem-context"}],"relatedBlocks":[]},{"id":"b-a0eb0898c05f1ee233bcdded","type":"pre","scope":"document","url":"https://codingai-lec03.pages.dev/course/notebook-blocks/6694e8372194400db0397906978305bf.html#b-a0eb0898c05f1ee233bcdded","content":"```\ndef boxes_xyxy(values):\n    \"\"\"Validate an (N,4) array of continuous-coordinate boxes.\"\"\"\n    boxes = np.asarray(values, dtype=float).reshape(-1, 4)\n    if not np.isfinite(boxes).all():\n        raise ValueError(\"Box coordinates must be finite\")\n    if np.any(boxes[:, 2:] < boxes[:, :2]):\n        raise ValueError(\"Require x2 >= x1 and y2 >= y1\")\n    return boxes\n\n\ndef box_iou(boxes_a, boxes_b):\n    \"\"\"Return (N,M) IoUs. A zero-area union is defined to have IoU 0.\"\"\"\n    a, b = boxes_xyxy(boxes_a), boxes_xyxy(boxes_b)\n    intersection_size = np.maximum(\n        0.0, np.minimum(a[:, None, 2:], b[None, :, 2:])\n        - np.maximum(a[:, None, :2], b[None, :, :2])\n    )\n    intersection = intersection_size.prod(axis=2)\n    area_a = (a[:, 2:] - a[:, :2]).prod(axis=1)\n    area_b = (b[:, 2:] - b[:, :2]).prod(axis=1)\n    union = area_a[:, None] + area_b[None, :] - intersection\n    return np.divide(intersection, union, out=np.zeros_like(union), where=union > 0)\n\nprint(\"IoU shape:\", box_iou(PRED, GT).shape)\nprint(box_iou(PRED, GT))\n```","sha256":"343c55023905db6d14465285570aee76e293e598d8f7c7336ce93561c05ae916","chapter":{"id":"course","title":"1 · 坐标先说清：连续 xyxy，不加一 · 实现代码"},"unit":{"id":"notebook-blocks/6694e8372194400db0397906978305bf","title":"1 · 坐标先说清：连续 xyxy，不加一 · 实现代码"},"page":{"id":"reading-opening","title":"1 · 坐标先说清：连续 xyxy，不加一 · 实现代码","number":1},"sectionTitle":"1 · 坐标先说清：连续 xyxy，不加一 · 实现代码","currentQuestion":"1 · 坐标先说清：连续 xyxy，不加一 · 实现代码","sourceSlides":[],"knowledgeBlock":null,"formulas":[],"previousBlock":"b-92985879fc17b875ce8fd9bb","nextBlock":null,"prerequisites":[{"id":"b-d3ebd038f0a1adf03bea7614","url":"#b-d3ebd038f0a1adf03bea7614","role":"section-title"},{"id":"b-805b4e51e671af5bea9bef02","url":"#b-805b4e51e671af5bea9bef02","role":"problem-context"}],"relatedBlocks":[]}]}