"""Rendering kernels extracted from the local RoboSnap/Marble pipeline. No original source files are modified. Camera-gauge normalization and SH0 match accepted GS renders; foreground uses the original pyrender material settings. """ from __future__ import annotations import json import math import os import sys from pathlib import Path from typing import Any os.environ.setdefault("PYOPENGL_PLATFORM", "egl") os.environ['PATH'] = str(Path(sys.executable).parent) + os.pathsep + os.environ.get('PATH', '') class ContractError(ValueError): pass def load_gaussians(path: Path, device: str): import numpy as np import torch from plyfile import PlyData vertices = PlyData.read(str(path))["vertex"].data names = set(vertices.dtype.names or ()) required = { "x", "y", "z", "f_dc_0", "f_dc_1", "f_dc_2", "opacity", "scale_0", "scale_1", "scale_2", "rot_0", "rot_1", "rot_2", "rot_3", } missing = sorted(required - names) if missing: raise ValueError(f"{path} is not a Gaussian PLY; missing: {', '.join(missing)}") stack = lambda keys: np.column_stack([vertices[key].astype(np.float32, copy=False) for key in keys]) means_np = stack(["x", "y", "z"]) scales_np = np.exp(stack(["scale_0", "scale_1", "scale_2"])) quats_np = stack(["rot_0", "rot_1", "rot_2", "rot_3"]) quats_np /= np.clip(np.linalg.norm(quats_np, axis=1, keepdims=True), 1e-12, None) opacities_np = 1.0 / (1.0 + np.exp(-vertices["opacity"].astype(np.float32, copy=False))) dc = stack(["f_dc_0", "f_dc_1", "f_dc_2"]) rest_names = sorted( (name for name in names if name.startswith("f_rest_")), key=lambda name: int(name.rsplit("_", 1)[1]), ) if rest_names: rest = stack(rest_names) if rest.shape[1] % 3: raise ValueError(f"Unexpected SH field count in {path}: {rest.shape[1]}") rest = rest.reshape(len(rest), 3, rest.shape[1] // 3) harmonics_np = np.concatenate([dc[:, :, None], rest], axis=2).transpose(0, 2, 1) else: harmonics_np = dc[:, None, :] to_device = lambda array: torch.from_numpy(np.ascontiguousarray(array)).to(device=device) return { "means": to_device(means_np), "scales": to_device(scales_np), "quats": to_device(quats_np), "opacities": to_device(opacities_np), "harmonics": to_device(harmonics_np), "means_np": means_np, "dc_np": dc, } def render_gaussians(gaussians, w2c, k, width: int, height: int, background_color): import numpy as np import torch from gsplat import rasterization view = torch.from_numpy(np.asarray(w2c, dtype=np.float32)).to(gaussians["means"].device)[None] intrinsics = torch.from_numpy(np.asarray(k, dtype=np.float32)).to(gaussians["means"].device)[None] background = torch.tensor(background_color, dtype=torch.float32, device=gaussians["means"].device)[None] degree = int(round(gaussians["harmonics"].shape[1] ** 0.5)) - 1 rendered, alpha, _ = rasterization( means=gaussians["means"], quats=gaussians["quats"], scales=gaussians["scales"], opacities=gaussians["opacities"], colors=gaussians["harmonics"], viewmats=view, Ks=intrinsics, width=width, height=height, backgrounds=background, render_mode="RGB+ED", packed=False, sh_degree=degree, ) rgb = rendered[0, :, :, :3].clamp(0.0, 1.0).detach().cpu().numpy() depth = rendered[0, :, :, 3].detach().cpu().numpy() coverage = alpha[0, :, :, 0].detach().cpu().numpy() return rgb, depth, coverage def load_camera(path: Path, frame_index: int, width: int | None, height: int | None): import numpy as np data = np.load(path) if "w2c_render" not in data: raise KeyError(f"w2c_render is missing from {path}") intrinsic_key = next( (key for key in ("intrinsics_render", "intrinsics_vipe", "intrinsics_da3_pred") if key in data), None, ) if intrinsic_key is None: raise KeyError(f"No render intrinsics found in {path}") w2cs = np.asarray(data["w2c_render"], dtype=np.float64) intrinsics = np.asarray(data[intrinsic_key], dtype=np.float64) idx = max(0, min(int(frame_index), len(w2cs) - 1)) w2c = w2cs[idx] if w2c.shape == (3, 4): padded = np.eye(4, dtype=np.float64) padded[:3, :4] = w2c w2c = padded k = intrinsics[min(idx, len(intrinsics) - 1)].copy() source_width = max(1, int(round(2.0 * float(k[0, 2])))) source_height = max(1, int(round(2.0 * float(k[1, 2])))) target_width = int(width or source_width) target_height = int(height or source_height) if (target_width, target_height) != (source_width, source_height): k[0, :] *= target_width / source_width k[1, :] *= target_height / source_height return w2c, k, target_width, target_height, idx, intrinsic_key def load_foreground_intrinsics(path: Path, width: int, height: int): import numpy as np data = json.loads(path.read_text(encoding="utf-8")) if "intrinsic_original_pixels" not in data or "original_size_wh" not in data: raise KeyError(f"VGGT original-pixel intrinsics are missing from {path}") k = np.asarray(data["intrinsic_original_pixels"], dtype=np.float64).copy() source_width, source_height = (int(value) for value in data["original_size_wh"]) k[0, :] *= width / source_width k[1, :] *= height / source_height return k, "intrinsic_original_pixels" def load_gravity_camera(path: Path, w2c_background): import numpy as np data = json.loads(path.read_text(encoding="utf-8")) transform = np.asarray(data["transform_gravity_from_background"], dtype=np.float64) return np.asarray(w2c_background, dtype=np.float64) @ np.linalg.inv(transform), data def render_mesh(path: Path, w2c, k, width: int, height: int): import numpy as np import pyrender import trimesh mesh_scene = trimesh.load(str(path), force="scene", process=False) if not isinstance(mesh_scene, trimesh.Scene): wrapped = trimesh.Scene() wrapped.add_geometry(mesh_scene) mesh_scene = wrapped scene = pyrender.Scene.from_trimesh_scene( mesh_scene, bg_color=np.array([0.0, 0.0, 0.0, 0.0]), ambient_light=np.array([0.75, 0.75, 0.75]), ) camera = pyrender.IntrinsicsCamera( fx=float(k[0, 0]), fy=float(k[1, 1]), cx=float(k[0, 2]), cy=float(k[1, 2]), znear=0.01, zfar=10000.0, ) cv_to_gl = np.diag([1.0, -1.0, -1.0, 1.0]) camera_pose = np.linalg.inv(w2c) @ cv_to_gl scene.add(camera, pose=camera_pose) scene.add(pyrender.DirectionalLight(color=np.ones(3), intensity=2.0), pose=camera_pose) renderer = pyrender.OffscreenRenderer(viewport_width=width, viewport_height=height) try: color, depth = renderer.render( scene, flags=pyrender.RenderFlags.RGBA | pyrender.RenderFlags.SKIP_CULL_FACES, ) finally: renderer.delete() return color.astype(np.float32) / 255.0, depth.astype(np.float32) def stack_fields(vertices: Any, names: list[str]) -> Any: import numpy as np return np.column_stack( [vertices[name].astype(np.float32, copy=False) for name in names] ) def render_gaussian_vertices( vertices: Any, w2c: Any, intrinsic: Any, width: int, height: int, device: str, ) -> tuple[Any, Any, Any]: import numpy as np import torch from gsplat import rasterization means_np = stack_fields(vertices, ["x", "y", "z"]) scales_np = np.exp(stack_fields(vertices, ["scale_0", "scale_1", "scale_2"])) quats_np = stack_fields(vertices, ["rot_0", "rot_1", "rot_2", "rot_3"]) quat_norm = np.linalg.norm(quats_np, axis=1, keepdims=True) if not np.isfinite(means_np).all() or not np.isfinite(scales_np).all(): raise ContractError("Gaussian means/scales contain non-finite values") if np.any(quat_norm <= 1e-12) or not np.isfinite(quat_norm).all(): raise ContractError("Gaussian quaternion is zero or non-finite") quats_np /= quat_norm opacity_np = 1.0 / ( 1.0 + np.exp(-vertices["opacity"].astype(np.float32, copy=False)) ) harmonics_np = stack_fields(vertices, ["f_dc_0", "f_dc_1", "f_dc_2"])[ :, None, : ] to_device = lambda array: torch.from_numpy(np.ascontiguousarray(array)).to(device=device) tensors = { "means": to_device(means_np), "scales": to_device(scales_np), "quats": to_device(quats_np), "opacities": to_device(opacity_np), "colors": to_device(harmonics_np), } view = torch.from_numpy(np.asarray(w2c, dtype=np.float32))[None].to(device=device) k_tensor = torch.from_numpy(np.asarray(intrinsic, dtype=np.float32))[None].to(device=device) background = torch.tensor([[0.96, 0.96, 0.96]], dtype=torch.float32, device=device) with torch.inference_mode(): rendered, alpha, _ = rasterization( means=tensors["means"], quats=tensors["quats"], scales=tensors["scales"], opacities=tensors["opacities"], colors=tensors["colors"], viewmats=view, Ks=k_tensor, width=int(width), height=int(height), backgrounds=background, render_mode="RGB+ED", packed=False, sh_degree=0, ) output = rendered[0].detach().cpu().numpy() coverage = alpha[0, :, :, 0].detach().cpu().numpy() rgb = np.clip(output[:, :, :3], 0.0, 1.0) depth = output[:, :, 3] del tensors, rendered, alpha, output, view, k_tensor, background if device.startswith("cuda"): torch.cuda.empty_cache() return rgb, depth, coverage def quaternion_multiply_wxyz(first: Any, second: Any) -> Any: import numpy as np w1, x1, y1, z1 = np.moveaxis(np.asarray(first), -1, 0) w2, x2, y2, z2 = np.moveaxis(np.asarray(second), -1, 0) return np.column_stack( [ w1 * w2 - x1 * x2 - y1 * y2 - z1 * z2, w1 * x2 + x1 * w2 + y1 * z2 - z1 * y2, w1 * y2 - x1 * z2 + y1 * w2 + z1 * x2, w1 * z2 + x1 * y2 - y1 * x2 + z1 * w2, ] ) def normalize_reloaded_output_for_render( vertices: Any, extrinsic_4x4: Any, intrinsic: Any, gauge_scale: float, ) -> tuple[Any, dict[str, Any]]: """Numerically normalize a reloaded output PLY for an equivalent camera render.""" import numpy as np from scipy.spatial.transform import Rotation if not math.isfinite(gauge_scale) or gauge_scale <= 0.0: raise ContractError("render normalization requires a finite positive gauge") extrinsic = np.asarray(extrinsic_4x4, dtype=np.float64) intrinsic = np.asarray(intrinsic, dtype=np.float64) normalized = vertices.copy() xyz_world = stack_fields(vertices, ["x", "y", "z"]).astype(np.float64) xyz_camera = (extrinsic[:3, :3] @ xyz_world.T).T + extrinsic[:3, 3] xyz_normalized = xyz_camera / gauge_scale for index, name in enumerate(("x", "y", "z")): normalized[name] = xyz_normalized[:, index].astype(normalized[name].dtype) log_gauge = math.log(gauge_scale) for name in ("scale_0", "scale_1", "scale_2"): normalized[name] = ( vertices[name].astype(np.float64) - log_gauge ).astype(normalized[name].dtype) quaternions_world = stack_fields( vertices, ["rot_0", "rot_1", "rot_2", "rot_3"] ).astype(np.float64) quaternions_world /= np.linalg.norm( quaternions_world, axis=1, keepdims=True ) xyzw = Rotation.from_matrix(extrinsic[:3, :3]).as_quat() quaternion_camera_from_world = np.asarray( [[xyzw[3], xyzw[0], xyzw[1], xyzw[2]]], dtype=np.float64, ) quaternions_camera = quaternion_multiply_wxyz( quaternion_camera_from_world, quaternions_world ) quaternions_camera /= np.linalg.norm( quaternions_camera, axis=1, keepdims=True ) for index, name in enumerate(("rot_0", "rot_1", "rot_2", "rot_3")): normalized[name] = quaternions_camera[:, index].astype( normalized[name].dtype ) sample = np.linspace( 0, len(vertices) - 1, min(20000, len(vertices)), dtype=np.int64 ) before = xyz_camera[sample] after = np.column_stack( [ normalized[name][sample].astype(np.float64) for name in ("x", "y", "z") ] ) reconstructed = gauge_scale * after relative_position_error = np.linalg.norm( reconstructed - before, axis=1 ) / np.maximum(np.linalg.norm(before, axis=1), 1e-8) valid = ( np.isfinite(before).all(axis=1) & np.isfinite(after).all(axis=1) & (np.abs(before[:, 2]) > 1e-6) & (np.abs(after[:, 2]) > 1e-6) ) if int(valid.sum()) < 100: raise ContractError("too few finite points for render-normalization proof") def project(points: Any) -> Any: return np.column_stack( [ intrinsic[0, 0] * points[:, 0] / points[:, 2] + intrinsic[0, 2], intrinsic[1, 1] * points[:, 1] / points[:, 2] + intrinsic[1, 2], ] ) projection_error = np.linalg.norm( project(before[valid]) - project(after[valid]), axis=1 ) normalized_quaternions = np.column_stack( [ normalized[name][sample].astype(np.float64) for name in ("rot_0", "rot_1", "rot_2", "rot_3") ] ) normalized_quaternions /= np.linalg.norm( normalized_quaternions, axis=1, keepdims=True ) expected_orientation = np.einsum( "ij,njk->nik", extrinsic[:3, :3], Rotation.from_quat( quaternions_world[sample][:, [1, 2, 3, 0]] ).as_matrix(), ) actual_orientation = Rotation.from_quat( normalized_quaternions[:, [1, 2, 3, 0]] ).as_matrix() relative_orientation = np.einsum( "nij,nkj->nik", expected_orientation, actual_orientation ) orientation_error_deg = np.rad2deg( Rotation.from_matrix(relative_orientation).magnitude() ) scale_reconstruction_error = np.max( np.abs( np.column_stack( [ normalized[name][sample].astype(np.float64) + log_gauge - vertices[name][sample].astype(np.float64) for name in ("scale_0", "scale_1", "scale_2") ] ) ), axis=1, ) return normalized, { "source": "reloaded aligned output PLY", "source_reloaded_after_full_resolution_write": True, "normalization": ( "world means -> camera means / gauge; log-scales -= log(gauge); " "quaternions left-multiplied by camera rotation; identity view" ), "camera_centered_numerical_normalization_scale": gauge_scale, "single_view_projection_semantics_changed": False, "output_file_modified_by_normalization": False, "gaussian_count": len(vertices), "sample_count": len(sample), "finite_projection_samples": int(valid.sum()), "projection_error_p99_px": float(np.quantile(projection_error, 0.99)), "projection_error_max_px": float(projection_error.max()), "relative_position_error_p99": float( np.quantile(relative_position_error, 0.99) ), "relative_position_error_max": float(relative_position_error.max()), "orientation_error_p99_deg": float( np.quantile(orientation_error_deg, 0.99) ), "orientation_error_max_deg": float(orientation_error_deg.max()), "log_scale_reconstruction_error_max": float( scale_reconstruction_error.max() ), }