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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()
),
}
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