import numpy as np import open3d as o3d # from ROS camera convention to USD camera convention U_R_TRANSFORM = np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]]) # from USD camera convention to ROS camera convention R_U_TRANSFORM = np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]]) # from USD camera convention to World camera convention W_U_TRANSFORM = np.array([[0, 0, -1, 0], [-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 1]]) # from World camera convention to USD camera convention U_W_TRANSFORM = np.array([[0, -1, 0, 0], [0, 0, 1, 0], [-1, 0, 0, 0], [0, 0, 0, 1]]) def depth2fgpcd(depth, mask, cam_params): # depth: (h, w) # fgpcd: (n, 3) # mask: (h, w) h, w = depth.shape mask = np.logical_and(mask, depth > 0) fgpcd = np.zeros((mask.sum(), 3)) fx, fy, cx, cy = cam_params pos_x, pos_y = np.meshgrid(np.arange(w), np.arange(h)) pos_x = pos_x[mask] pos_y = pos_y[mask] fgpcd[:, 0] = (pos_x - cx) * depth[mask] / fx fgpcd[:, 1] = (pos_y - cy) * depth[mask] / fy fgpcd[:, 2] = depth[mask] return fgpcd def depth2pcd(depth,camera_proj_mat,camera_view_mat): height, width=depth.shape vinv = np.linalg.inv(camera_view_mat) proj=camera_proj_mat fu =2 /proj[0,0] fv =2 /proj[1,1] centerU=width/2 centerV = height/2 u = np.linspace(0, width - 1, width) v = np.linspace(0, height - 1, height) u,v = np.meshgrid(u,v,indexing="xy") Z=depth x_para=-Z*fu/width y_para=Z*fv/height X=(u - centerU)*x_para Y=(v - centerV)*y_para position = np.stack([X,Y,Z,np.ones_like(X)],axis=-1) position = position.view(-1,4) position = position @ vinv points=position[:,:3] return points def depth2fgpcd_w(depth,mask,K): # depth: (h, w) # fgpcd: (n, 3) # mask: (h, w) # get_pointcloud im_height, im_width = depth.shape[0], depth.shape[1] valid_mask=np.logical_and(mask,depth>0) if not valid_mask.any(): return np.zeros((0, 3)) ww = np.linspace(0.5, im_width - 0.5, im_width, dtype=np.float32) hh = np.linspace(0.5, im_height - 0.5, im_height, dtype=np.float32) xmap, ymap = np.meshgrid(ww, hh, indexing="xy") # points_2d = np.column_stack((xmap.ravel(), ymap.ravel())) points_2d = np.column_stack((xmap[mask], ymap[mask])) # (n, 2) # get_world_points_from_image_coords # depth =depth.flatten() depth =depth[mask] # (n,) homogenous=np.pad(points_2d,((0,0),(0,1)),mode="constant",constant_values=1.0) points_in_camera_axes = np.matmul( np.linalg.inv(K), np.transpose(homogenous)*np.expand_dims(depth,0), ) points_in_camera_frame=np.transpose(points_in_camera_axes) return points_in_camera_frame def np2o3d(pcd, color=None, seg=None): # pcd: (n, 3) # color: (n, 3) pcd_dicts = {} pcd_o3d = o3d.geometry.PointCloud() pcd_o3d.points = o3d.utility.Vector3dVector(pcd) if color is not None: assert pcd.shape[0] == color.shape[0] assert color.max() <= 1 assert color.min() >= 0 pcd_o3d.colors = o3d.utility.Vector3dVector(color) for i, pos in enumerate(pcd_o3d.points): pcd_dicts[tuple(pos)] = { 'color': pcd_o3d.colors[i], 'seg': seg[i] } return pcd_o3d, pcd_dicts def depth2normal(d_im, K): # :param d_im: (H, W) depth image in meters # :param K: (3, 3) camera intrinsics # :return (H, W, 3) normal image H, W = d_im.shape cx, cy, fx, fy = K[0, 2], K[1, 2], K[0, 0], K[1, 1] pcd = np.zeros((H * W, 3)) xy_grid = np.mgrid[0:W, 0:H].T.reshape(-1, 2) pcd[:, 0] = (xy_grid[:, 0] - cx) * d_im.reshape(-1) / fx pcd[:, 1] = (xy_grid[:, 1] - cy) * d_im.reshape(-1) / fy pcd[:, 2] = d_im.reshape(-1) pcd = pcd.reshape(H, W, 3) window = 10 pcd = np.pad(pcd, ((0, window), (0, window), (0, 0)), mode='edge') # shape (H+1, W+1, 3) pcd_h_diff = pcd[window:, :W, :] - pcd[:-window, :W, :] pcd_v_diff = pcd[:H, window:, :] - pcd[:H, :-window, :] pcd_normals = np.cross(pcd_h_diff, pcd_v_diff) # shape (H, W, 3) pcd_normals = pcd_normals / (np.linalg.norm(pcd_normals, axis=2, keepdims=True) + 1e-6) # shape (H, W, 3) return pcd_normals