本文主要分享的是一则python+opencv实现任意角度的透视变换的实例,具体如下:
# -*- coding:utf-8 -*- import cv2 import numpy as np def rad(x): return x * np.pi / 180 img = cv2.imread("6.jfif") cv2.imshow("original", img) # 扩展图像,保证内容不超出可视范围 img = cv2.copyMakeBorder(img, 200, 200, 200, 200, cv2.BORDER_CONSTANT, 0) w, h = img.shape[0:2] anglex = 0 angley = 30 anglez = 0 #是旋转 fov = 42 while 1: # 镜头与图像间的距离,21为半可视角,算z的距离是为了保证在此可视角度下恰好显示整幅图像 z = np.sqrt(w ** 2 + h ** 2) / 2 / np.tan(rad(fov / 2)) # 齐次变换矩阵 rx = np.array([[1, 0, 0, 0], [0, np.cos(rad(anglex)), -np.sin(rad(anglex)), 0], [0, -np.sin(rad(anglex)), np.cos(rad(anglex)), 0, ], [0, 0, 0, 1]], np.float32) ry = np.array([[np.cos(rad(angley)), 0, np.sin(rad(angley)), 0], [0, 1, 0, 0], [-np.sin(rad(angley)), 0, np.cos(rad(angley)), 0, ], [0, 0, 0, 1]], np.float32) rz = np.array([[np.cos(rad(anglez)), np.sin(rad(anglez)), 0, 0], [-np.sin(rad(anglez)), np.cos(rad(anglez)), 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], np.float32) r = rx.dot(ry).dot(rz) # 四对点的生成 pcenter = np.array([h / 2, w / 2, 0, 0], np.float32) p1 = np.array([0, 0, 0, 0], np.float32) - pcenter p2 = np.array([w, 0, 0, 0], np.float32) - pcenter p3 = np.array([0, h, 0, 0], np.float32) - pcenter p4 = np.array([w, h, 0, 0], np.float32) - pcenter dst1 = r.dot(p1) dst2 = r.dot(p2) dst3 = r.dot(p3) dst4 = r.dot(p4) list_dst = [dst1, dst2, dst3, dst4] org = np.array([[0, 0], [w, 0], [0, h], [w, h]], np.float32) dst = np.zeros((4, 2), np.float32) # 投影至成像平面 for i in range(4): dst[i, 0] = list_dst[i][0] * z / (z - list_dst[i][2]) + pcenter[0] dst[i, 1] = list_dst[i][1] * z / (z - list_dst[i][2]) + pcenter[1] warpR = cv2.getPerspectiveTransform(org, dst) result = cv2.warpPerspective(img, warpR, (h, w)) cv2.imshow("result", result) c = cv2.waitKey(30) # anglex += 3 #auto rotate # anglez += 1#auto rotate # angley += 2 #auto rotate # 键盘控制 if 27 == c: # Esc quit break; if c == ord('w'): anglex += 1 if c == ord('s'): anglex -= 1 if c == ord('a'): angley += 1 # dx=0 if c == ord('d'): angley -= 1 if c == ord('u'): anglez += 1 if c == ord('p'): anglez -= 1 if c == ord('t'): fov += 1 if c == ord('r'): fov -= 1 if c == ord(' '): anglex = angley = anglez = 0 if c == ord('q'): print("======================================") print('旋转矩阵:n', r) print("angle alpha: ", anglex, 'angle beta: ', angley, "dz: ", anglez, ": ", z) cv2.destroyAllWindows()
总结
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