Opencv-Python图像透视变换cv2.warpPerspective的示例

# -*- coding:utf-8 -*-
import cv2
import numpy as np
import sys
img = cv2.imread('test.jpg')
# cv2.imshow("original", img)
# 可选，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
r = 0
def rad(x):
  return x * np.pi / 180
def get_warpR():
  global anglex,angley,anglez,fov,w,h,r
  # 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)
  return warpR
def control():
  global anglex,angley,anglez,fov,r
  # 键盘控制
  if 27 == c: # Esc quit
    sys.exit()
  if c == ord('w'):
    anglex += 1
  if c == ord('s'):
    anglex -= 1
  if c == ord('a'):
    angley += 1
    print(angley)
    # 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('e'):
    print("======================================")
    print('Rotation Matrix:')
    print(r)
    print('angle alpha(anglex):')
    print(anglex)
    print('angle beta(angley):')
    print(angley)
    print('dz(anglez):')
    print(anglez)
while True:
  warpR = get_warpR()
  result = cv2.warpPerspective(img, warpR, (h, w))
  cv2.namedWindow('result',2)
  cv2.imshow("result", result)
  c = cv2.waitKey(30)
  control()
cv2.destroyAllWindows()