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| 1 | +# Copyright (c) OpenMMLab. All rights reserved. |
| 2 | +##################### |
| 3 | +# Based on https://github.com/hongzhenwang/RRPN-revise |
| 4 | +# Licensed under The MIT License |
| 5 | +# Author: yanyan, [email protected] |
| 6 | +##################### |
| 7 | +import math |
| 8 | + |
| 9 | +import numpy as np |
| 10 | + |
| 11 | + |
| 12 | +def div_up(m, n): |
| 13 | + return m // n + (m % n > 0) |
| 14 | + |
| 15 | + |
| 16 | +def trangle_area(a, b, c): |
| 17 | + return ((a[0] - c[0]) * (b[1] - c[1]) - (a[1] - c[1]) * |
| 18 | + (b[0] - c[0])) / 2.0 |
| 19 | + |
| 20 | + |
| 21 | +def area(int_pts, num_of_inter): |
| 22 | + area_val = 0.0 |
| 23 | + for i in range(num_of_inter - 2): |
| 24 | + area_val += abs( |
| 25 | + trangle_area(int_pts[:2], int_pts[2 * i + 2:2 * i + 4], |
| 26 | + int_pts[2 * i + 4:2 * i + 6])) |
| 27 | + return area_val |
| 28 | + |
| 29 | + |
| 30 | +def sort_vertex_in_convex_polygon(int_pts, num_of_inter): |
| 31 | + if num_of_inter > 0: |
| 32 | + center = np.zeros((2, ), dtype=np.float32) |
| 33 | + center[:] = 0.0 |
| 34 | + for i in range(num_of_inter): |
| 35 | + center[0] += int_pts[2 * i] |
| 36 | + center[1] += int_pts[2 * i + 1] |
| 37 | + center[0] /= num_of_inter |
| 38 | + center[1] /= num_of_inter |
| 39 | + v = np.zeros((2, ), dtype=np.float32) |
| 40 | + vs = np.zeros((16, ), dtype=np.float32) |
| 41 | + for i in range(num_of_inter): |
| 42 | + v[0] = int_pts[2 * i] - center[0] |
| 43 | + v[1] = int_pts[2 * i + 1] - center[1] |
| 44 | + d = math.sqrt(v[0] * v[0] + v[1] * v[1]) |
| 45 | + v[0] = v[0] / d |
| 46 | + v[1] = v[1] / d |
| 47 | + if v[1] < 0: |
| 48 | + v[0] = -2 - v[0] |
| 49 | + vs[i] = v[0] |
| 50 | + j = 0 |
| 51 | + temp = 0 |
| 52 | + for i in range(1, num_of_inter): |
| 53 | + if vs[i - 1] > vs[i]: |
| 54 | + temp = vs[i] |
| 55 | + tx = int_pts[2 * i] |
| 56 | + ty = int_pts[2 * i + 1] |
| 57 | + j = i |
| 58 | + while j > 0 and vs[j - 1] > temp: |
| 59 | + vs[j] = vs[j - 1] |
| 60 | + int_pts[j * 2] = int_pts[j * 2 - 2] |
| 61 | + int_pts[j * 2 + 1] = int_pts[j * 2 - 1] |
| 62 | + j -= 1 |
| 63 | + |
| 64 | + vs[j] = temp |
| 65 | + int_pts[j * 2] = tx |
| 66 | + int_pts[j * 2 + 1] = ty |
| 67 | + |
| 68 | + |
| 69 | +def line_segment_intersection(pts1, pts2, i, j, temp_pts): |
| 70 | + A = np.zeros((2, ), dtype=np.float32) |
| 71 | + B = np.zeros((2, ), dtype=np.float32) |
| 72 | + C = np.zeros((2, ), dtype=np.float32) |
| 73 | + D = np.zeros((2, ), dtype=np.float32) |
| 74 | + |
| 75 | + A[0] = pts1[2 * i] |
| 76 | + A[1] = pts1[2 * i + 1] |
| 77 | + |
| 78 | + B[0] = pts1[2 * ((i + 1) % 4)] |
| 79 | + B[1] = pts1[2 * ((i + 1) % 4) + 1] |
| 80 | + |
| 81 | + C[0] = pts2[2 * j] |
| 82 | + C[1] = pts2[2 * j + 1] |
| 83 | + |
| 84 | + D[0] = pts2[2 * ((j + 1) % 4)] |
| 85 | + D[1] = pts2[2 * ((j + 1) % 4) + 1] |
| 86 | + BA0 = B[0] - A[0] |
| 87 | + BA1 = B[1] - A[1] |
| 88 | + DA0 = D[0] - A[0] |
| 89 | + CA0 = C[0] - A[0] |
| 90 | + DA1 = D[1] - A[1] |
| 91 | + CA1 = C[1] - A[1] |
| 92 | + acd = DA1 * CA0 > CA1 * DA0 |
| 93 | + bcd = (D[1] - B[1]) * (C[0] - B[0]) > (C[1] - B[1]) * (D[0] - B[0]) |
| 94 | + if acd != bcd: |
| 95 | + abc = CA1 * BA0 > BA1 * CA0 |
| 96 | + abd = DA1 * BA0 > BA1 * DA0 |
| 97 | + if abc != abd: |
| 98 | + DC0 = D[0] - C[0] |
| 99 | + DC1 = D[1] - C[1] |
| 100 | + ABBA = A[0] * B[1] - B[0] * A[1] |
| 101 | + CDDC = C[0] * D[1] - D[0] * C[1] |
| 102 | + DH = BA1 * DC0 - BA0 * DC1 |
| 103 | + Dx = ABBA * DC0 - BA0 * CDDC |
| 104 | + Dy = ABBA * DC1 - BA1 * CDDC |
| 105 | + temp_pts[0] = Dx / DH |
| 106 | + temp_pts[1] = Dy / DH |
| 107 | + return True |
| 108 | + return False |
| 109 | + |
| 110 | + |
| 111 | +def line_segment_intersection_v1(pts1, pts2, i, j, temp_pts): |
| 112 | + a = np.zeros((2, ), dtype=np.float32) |
| 113 | + b = np.zeros((2, ), dtype=np.float32) |
| 114 | + c = np.zeros((2, ), dtype=np.float32) |
| 115 | + d = np.zeros((2, ), dtype=np.float32) |
| 116 | + |
| 117 | + a[0] = pts1[2 * i] |
| 118 | + a[1] = pts1[2 * i + 1] |
| 119 | + |
| 120 | + b[0] = pts1[2 * ((i + 1) % 4)] |
| 121 | + b[1] = pts1[2 * ((i + 1) % 4) + 1] |
| 122 | + |
| 123 | + c[0] = pts2[2 * j] |
| 124 | + c[1] = pts2[2 * j + 1] |
| 125 | + |
| 126 | + d[0] = pts2[2 * ((j + 1) % 4)] |
| 127 | + d[1] = pts2[2 * ((j + 1) % 4) + 1] |
| 128 | + |
| 129 | + area_abc = trangle_area(a, b, c) |
| 130 | + area_abd = trangle_area(a, b, d) |
| 131 | + |
| 132 | + if area_abc * area_abd >= 0: |
| 133 | + return False |
| 134 | + |
| 135 | + area_cda = trangle_area(c, d, a) |
| 136 | + area_cdb = area_cda + area_abc - area_abd |
| 137 | + |
| 138 | + if area_cda * area_cdb >= 0: |
| 139 | + return False |
| 140 | + t = area_cda / (area_abd - area_abc) |
| 141 | + |
| 142 | + dx = t * (b[0] - a[0]) |
| 143 | + dy = t * (b[1] - a[1]) |
| 144 | + temp_pts[0] = a[0] + dx |
| 145 | + temp_pts[1] = a[1] + dy |
| 146 | + return True |
| 147 | + |
| 148 | + |
| 149 | +def point_in_quadrilateral(pt_x, pt_y, corners): |
| 150 | + ab0 = corners[2] - corners[0] |
| 151 | + ab1 = corners[3] - corners[1] |
| 152 | + |
| 153 | + ad0 = corners[6] - corners[0] |
| 154 | + ad1 = corners[7] - corners[1] |
| 155 | + |
| 156 | + ap0 = pt_x - corners[0] |
| 157 | + ap1 = pt_y - corners[1] |
| 158 | + |
| 159 | + abab = ab0 * ab0 + ab1 * ab1 |
| 160 | + abap = ab0 * ap0 + ab1 * ap1 |
| 161 | + adad = ad0 * ad0 + ad1 * ad1 |
| 162 | + adap = ad0 * ap0 + ad1 * ap1 |
| 163 | + |
| 164 | + return abab >= abap and abap >= 0 and adad >= adap and adap >= 0 |
| 165 | + |
| 166 | + |
| 167 | +def quadrilateral_intersection(pts1, pts2, int_pts): |
| 168 | + num_of_inter = 0 |
| 169 | + for i in range(4): |
| 170 | + if point_in_quadrilateral(pts1[2 * i], pts1[2 * i + 1], pts2): |
| 171 | + int_pts[num_of_inter * 2] = pts1[2 * i] |
| 172 | + int_pts[num_of_inter * 2 + 1] = pts1[2 * i + 1] |
| 173 | + num_of_inter += 1 |
| 174 | + if point_in_quadrilateral(pts2[2 * i], pts2[2 * i + 1], pts1): |
| 175 | + int_pts[num_of_inter * 2] = pts2[2 * i] |
| 176 | + int_pts[num_of_inter * 2 + 1] = pts2[2 * i + 1] |
| 177 | + num_of_inter += 1 |
| 178 | + temp_pts = np.zeros((2, ), dtype=np.float32) |
| 179 | + for i in range(4): |
| 180 | + for j in range(4): |
| 181 | + has_pts = line_segment_intersection(pts1, pts2, i, j, temp_pts) |
| 182 | + if has_pts: |
| 183 | + int_pts[num_of_inter * 2] = temp_pts[0] |
| 184 | + int_pts[num_of_inter * 2 + 1] = temp_pts[1] |
| 185 | + num_of_inter += 1 |
| 186 | + |
| 187 | + return num_of_inter |
| 188 | + |
| 189 | + |
| 190 | +def rbbox_to_corners(corners, rbbox): |
| 191 | + # generate clockwise corners and rotate it clockwise |
| 192 | + angle = rbbox[4] |
| 193 | + a_cos = math.cos(angle) |
| 194 | + a_sin = math.sin(angle) |
| 195 | + center_x = rbbox[0] |
| 196 | + center_y = rbbox[1] |
| 197 | + x_d = rbbox[2] |
| 198 | + y_d = rbbox[3] |
| 199 | + corners_x = np.zeros((4, ), dtype=np.float32) |
| 200 | + corners_y = np.zeros((4, ), dtype=np.float32) |
| 201 | + corners_x[0] = -x_d / 2 |
| 202 | + corners_x[1] = -x_d / 2 |
| 203 | + corners_x[2] = x_d / 2 |
| 204 | + corners_x[3] = x_d / 2 |
| 205 | + corners_y[0] = -y_d / 2 |
| 206 | + corners_y[1] = y_d / 2 |
| 207 | + corners_y[2] = y_d / 2 |
| 208 | + corners_y[3] = -y_d / 2 |
| 209 | + for i in range(4): |
| 210 | + corners[2 * i] = a_cos * corners_x[i] + a_sin * corners_y[i] + center_x |
| 211 | + corners[2 * i + |
| 212 | + 1] = -a_sin * corners_x[i] + a_cos * corners_y[i] + center_y |
| 213 | + |
| 214 | + |
| 215 | +def inter(rbbox1, rbbox2): |
| 216 | + corners1 = np.zeros((8, ), dtype=np.float32) |
| 217 | + corners2 = np.zeros((8, ), dtype=np.float32) |
| 218 | + intersection_corners = np.zeros((16, ), dtype=np.float32) |
| 219 | + |
| 220 | + rbbox_to_corners(corners1, rbbox1) |
| 221 | + rbbox_to_corners(corners2, rbbox2) |
| 222 | + |
| 223 | + num_intersection = quadrilateral_intersection(corners1, corners2, |
| 224 | + intersection_corners) |
| 225 | + sort_vertex_in_convex_polygon(intersection_corners, num_intersection) |
| 226 | + # print(intersection_corners.reshape([-1, 2])[:num_intersection]) |
| 227 | + |
| 228 | + return area(intersection_corners, num_intersection) |
| 229 | + |
| 230 | + |
| 231 | +def devRotateIoUEval(rbox1, rbox2, criterion=-1): |
| 232 | + area1 = rbox1[2] * rbox1[3] |
| 233 | + area2 = rbox2[2] * rbox2[3] |
| 234 | + area_inter = inter(rbox1, rbox2) |
| 235 | + if criterion == -1: |
| 236 | + return area_inter / (area1 + area2 - area_inter) |
| 237 | + elif criterion == 0: |
| 238 | + return area_inter / area1 |
| 239 | + elif criterion == 1: |
| 240 | + return area_inter / area2 |
| 241 | + else: |
| 242 | + return area_inter |
| 243 | + |
| 244 | + |
| 245 | +def rotate_iou_cpu_eval(dev_boxes, dev_query_boxes, criterion=-1): |
| 246 | + num_boxes = dev_boxes.shape[0] |
| 247 | + num_qboxes = dev_query_boxes.shape[0] |
| 248 | + dev_iou = np.zeros((num_boxes, num_qboxes)) |
| 249 | + for box_i in range(num_boxes): |
| 250 | + for qbox_i in range(num_qboxes): |
| 251 | + dev_iou[box_i, |
| 252 | + qbox_i] = devRotateIoUEval(dev_query_boxes[qbox_i], |
| 253 | + dev_boxes[box_i], criterion) |
| 254 | + return dev_iou |
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