import numpy as np import math from PIL import Image import torchvision.transforms as transforms import torch from scipy.spatial.transform import Rotation as R import cv2 rng = np.random.RandomState(234) _EPS = np.finfo(float).eps * 4.0 TINY_NUMBER = 1e-6 # float32 only has 7 decimal digits precision def vector_norm(data, axis=None, out=None): """Return length, i.e. eucledian norm, of ndarray along axis.""" data = np.array(data, dtype=np.float64, copy=True) if out is None: if data.ndim == 1: return math.sqrt(np.dot(data, data)) data *= data out = np.atleast_1d(np.sum(data, axis=axis)) np.sqrt(out, out) return out else: data *= data np.sum(data, axis=axis, out=out) np.sqrt(out, out) def quaternion_about_axis(angle, axis): """Return quaternion for rotation about axis.""" quaternion = np.zeros((4,), dtype=np.float64) quaternion[:3] = axis[:3] qlen = vector_norm(quaternion) if qlen > _EPS: quaternion *= math.sin(angle / 2.0) / qlen quaternion[3] = math.cos(angle / 2.0) return quaternion def quaternion_matrix(quaternion): """Return homogeneous rotation matrix from quaternion.""" q = np.array(quaternion[:4], dtype=np.float64, copy=True) nq = np.dot(q, q) if nq < _EPS: return np.identity(4) q *= math.sqrt(2.0 / nq) q = np.outer(q, q) return np.array( ( (1.0 - q[1, 1] - q[2, 2], q[0, 1] - q[2, 3], q[0, 2] + q[1, 3], 0.0), (q[0, 1] + q[2, 3], 1.0 - q[0, 0] - q[2, 2], q[1, 2] - q[0, 3], 0.0), (q[0, 2] - q[1, 3], q[1, 2] + q[0, 3], 1.0 - q[0, 0] - q[1, 1], 0.0), (0.0, 0.0, 0.0, 1.0), ), dtype=np.float64, ) def rectify_inplane_rotation(src_pose, tar_pose, src_img, th=40): relative = np.linalg.inv(tar_pose).dot(src_pose) relative_rot = relative[:3, :3] r = R.from_matrix(relative_rot) euler = r.as_euler("zxy", degrees=True) euler_z = euler[0] if np.abs(euler_z) < th: return src_pose, src_img R_rectify = R.from_euler("z", -euler_z, degrees=True).as_matrix() src_R_rectified = src_pose[:3, :3].dot(R_rectify) out_pose = np.eye(4) out_pose[:3, :3] = src_R_rectified out_pose[:3, 3:4] = src_pose[:3, 3:4] h, w = src_img.shape[:2] center = ((w - 1.0) / 2.0, (h - 1.0) / 2.0) M = cv2.getRotationMatrix2D(center, -euler_z, 1) src_img = np.clip((255 * src_img).astype(np.uint8), a_max=255, a_min=0) rotated = cv2.warpAffine( src_img, M, (w, h), borderValue=(255, 255, 255), flags=cv2.INTER_LANCZOS4 ) rotated = rotated.astype(np.float32) / 255.0 return out_pose, rotated def random_crop(rgb, camera, src_rgbs, src_cameras, size=(400, 600), center=None): h, w = rgb.shape[:2] out_h, out_w = size[0], size[1] if out_w >= w or out_h >= h: return rgb, camera, src_rgbs, src_cameras if center is not None: center_h, center_w = center else: center_h = np.random.randint(low=out_h // 2 + 1, high=h - out_h // 2 - 1) center_w = np.random.randint(low=out_w // 2 + 1, high=w - out_w // 2 - 1) rgb_out = rgb[ center_h - out_h // 2 : center_h + out_h // 2, center_w - out_w // 2 : center_w + out_w // 2, :, ] src_rgbs = np.array(src_rgbs) src_rgbs = src_rgbs[ :, center_h - out_h // 2 : center_h + out_h // 2, center_w - out_w // 2 : center_w + out_w // 2, :, ] camera[0] = out_h camera[1] = out_w camera[4] -= center_w - out_w // 2 camera[8] -= center_h - out_h // 2 src_cameras[:, 4] -= center_w - out_w // 2 src_cameras[:, 8] -= center_h - out_h // 2 src_cameras[:, 0] = out_h src_cameras[:, 1] = out_w return rgb_out, camera, src_rgbs, src_cameras def random_flip(rgb, camera, src_rgbs, src_cameras): h, w = rgb.shape[:2] h_r, w_r = src_rgbs.shape[1:3] rgb_out = np.flip(rgb, axis=1).copy() src_rgbs = np.flip(src_rgbs, axis=-2).copy() camera[2] *= -1 camera[4] = w - 1.0 - camera[4] src_cameras[:, 2] *= -1 src_cameras[:, 4] = w_r - 1.0 - src_cameras[:, 4] return rgb_out, camera, src_rgbs, src_cameras def get_color_jitter_params(brightness=0.2, contrast=0.2, saturation=0.2, hue=0.2): color_jitter = transforms.ColorJitter( brightness=brightness, contrast=contrast, saturation=saturation, hue=hue ) transform = transforms.ColorJitter.get_params( color_jitter.brightness, color_jitter.contrast, color_jitter.saturation, color_jitter.hue ) return transform def color_jitter(img, transform): """ Args: img: np.float32 [h, w, 3] transform: Returns: transformed np.float32 """ img = Image.fromarray((255.0 * img).astype(np.uint8)) img_trans = transform(img) img_trans = np.array(img_trans).astype(np.float32) / 255.0 return img_trans def color_jitter_all_rgbs(rgb, ref_rgbs, brightness=0.2, contrast=0.2, saturation=0.2, hue=0.2): transform = get_color_jitter_params(brightness, contrast, saturation, hue) rgb_trans = color_jitter(rgb, transform) ref_rgbs_trans = [] for ref_rgb in ref_rgbs: ref_rgbs_trans.append(color_jitter(ref_rgb, transform)) ref_rgbs_trans = np.array(ref_rgbs_trans) return rgb_trans, ref_rgbs_trans def deepvoxels_parse_intrinsics(filepath, trgt_sidelength, invert_y=False): # Get camera intrinsics with open(filepath, "r") as file: f, cx, cy = list(map(float, file.readline().split()))[:3] grid_barycenter = torch.Tensor(list(map(float, file.readline().split()))) near_plane = float(file.readline()) scale = float(file.readline()) height, width = map(float, file.readline().split()) try: world2cam_poses = int(file.readline()) except ValueError: world2cam_poses = None if world2cam_poses is None: world2cam_poses = False world2cam_poses = bool(world2cam_poses) cx = cx / width * trgt_sidelength cy = cy / height * trgt_sidelength f = trgt_sidelength / height * f fx = f if invert_y: fy = -f else: fy = f # Build the intrinsic matrices full_intrinsic = np.array([[fx, 0.0, cx, 0.0], [0.0, fy, cy, 0], [0.0, 0, 1, 0], [0, 0, 0, 1]]) return full_intrinsic, grid_barycenter, scale, near_plane, world2cam_poses def angular_dist_between_2_vectors(vec1, vec2): vec1_unit = vec1 / (np.linalg.norm(vec1, axis=1, keepdims=True) + TINY_NUMBER) vec2_unit = vec2 / (np.linalg.norm(vec2, axis=1, keepdims=True) + TINY_NUMBER) angular_dists = np.arccos(np.clip(np.sum(vec1_unit * vec2_unit, axis=-1), -1.0, 1.0)) return angular_dists def batched_angular_dist_rot_matrix(R1, R2): """ calculate the angular distance between two rotation matrices (batched) :param R1: the first rotation matrix [N, 3, 3] :param R2: the second rotation matrix [N, 3, 3] :return: angular distance in radiance [N, ] """ assert R1.shape[-1] == 3 and R2.shape[-1] == 3 and R1.shape[-2] == 3 and R2.shape[-2] == 3 return np.arccos( np.clip( (np.trace(np.matmul(R2.transpose(0, 2, 1), R1), axis1=1, axis2=2) - 1) / 2.0, a_min=-1 + TINY_NUMBER, a_max=1 - TINY_NUMBER, ) ) def get_nearest_pose_ids( tar_pose, ref_poses, num_select, tar_id=-1, angular_dist_method="vector", scene_center=(0, 0, 0), ): """ Args: tar_pose: target pose [3, 3] ref_poses: reference poses [N, 3, 3] num_select: the number of nearest views to select Returns: the selected indices """ num_cams = len(ref_poses) num_select = min(num_select, num_cams - 1) batched_tar_pose = tar_pose[None, ...].repeat(num_cams, 0) if angular_dist_method == "matrix": dists = batched_angular_dist_rot_matrix(batched_tar_pose[:, :3, :3], ref_poses[:, :3, :3]) elif angular_dist_method == "vector": tar_cam_locs = batched_tar_pose[:, :3, 3] ref_cam_locs = ref_poses[:, :3, 3] scene_center = np.array(scene_center)[None, ...] tar_vectors = tar_cam_locs - scene_center ref_vectors = ref_cam_locs - scene_center dists = angular_dist_between_2_vectors(tar_vectors, ref_vectors) elif angular_dist_method == "dist": tar_cam_locs = batched_tar_pose[:, :3, 3] ref_cam_locs = ref_poses[:, :3, 3] dists = np.linalg.norm(tar_cam_locs - ref_cam_locs, axis=1) else: raise Exception("unknown angular distance calculation method!") if tar_id >= 0: assert tar_id < num_cams dists[tar_id] = 1e3 # make sure not to select the target id itself sorted_ids = np.argsort(dists) selected_ids = sorted_ids[:num_select] # print(angular_dists[selected_ids] * 180 / np.pi) return selected_ids