import cv2 import numpy as np # VR Lense Distortion # Taken from https://github.com/g0kuvonlange/vrswap def get_perspective(img, FOV, THETA, PHI, height, width): # # THETA is left/right angle, PHI is up/down angle, both in degree # [orig_width, orig_height, _] = img.shape equ_h = orig_height equ_w = orig_width equ_cx = (equ_w - 1) / 2.0 equ_cy = (equ_h - 1) / 2.0 wFOV = FOV hFOV = float(height) / width * wFOV w_len = np.tan(np.radians(wFOV / 2.0)) h_len = np.tan(np.radians(hFOV / 2.0)) x_map = np.ones([height, width], np.float32) y_map = np.tile(np.linspace(-w_len, w_len, width), [height, 1]) z_map = -np.tile(np.linspace(-h_len, h_len, height), [width, 1]).T D = np.sqrt(x_map**2 + y_map**2 + z_map**2) xyz = np.stack((x_map, y_map, z_map), axis=2) / np.repeat( D[:, :, np.newaxis], 3, axis=2 ) y_axis = np.array([0.0, 1.0, 0.0], np.float32) z_axis = np.array([0.0, 0.0, 1.0], np.float32) [R1, _] = cv2.Rodrigues(z_axis * np.radians(THETA)) [R2, _] = cv2.Rodrigues(np.dot(R1, y_axis) * np.radians(-PHI)) xyz = xyz.reshape([height * width, 3]).T xyz = np.dot(R1, xyz) xyz = np.dot(R2, xyz).T lat = np.arcsin(xyz[:, 2]) lon = np.arctan2(xyz[:, 1], xyz[:, 0]) lon = lon.reshape([height, width]) / np.pi * 180 lat = -lat.reshape([height, width]) / np.pi * 180 lon = lon / 180 * equ_cx + equ_cx lat = lat / 90 * equ_cy + equ_cy persp = cv2.remap( img, lon.astype(np.float32), lat.astype(np.float32), cv2.INTER_CUBIC, borderMode=cv2.BORDER_WRAP, ) return persp