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# SPDX-FileCopyrightText: Copyright (c) 2021-2022 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
# SPDX-License-Identifier: LicenseRef-NvidiaProprietary
#
# NVIDIA CORPORATION, its affiliates and licensors retain all intellectual
# property and proprietary rights in and to this material, related
# documentation and any modifications thereto. Any use, reproduction,
# disclosure or distribution of this material and related documentation
# without an express license agreement from NVIDIA CORPORATION or
# its affiliates is strictly prohibited.
#
# Modified by Zexin He
# The modifications are subject to the same license as the original.
"""
The renderer is a module that takes in rays, decides where to sample along each
ray, and computes pixel colors using the volume rendering equation.
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
from .ray_marcher import MipRayMarcher2
from . import math_utils
# from ldm.modules.rendering_neus.third_party.ops import grid_sample
def generate_planes():
"""
Defines planes by the three vectors that form the "axes" of the
plane. Should work with arbitrary number of planes and planes of
arbitrary orientation.
Bugfix reference: https://github.com/NVlabs/eg3d/issues/67
"""
return torch.tensor([[[1, 0, 0],
[0, 1, 0],
[0, 0, 1]],
[[1, 0, 0],
[0, 0, 1],
[0, 1, 0]],
[[0, 0, 1],
[0, 1, 0],
[1, 0, 0]]], dtype=torch.float32)
def project_onto_planes(planes, coordinates):
"""
Does a projection of a 3D point onto a batch of 2D planes,
returning 2D plane coordinates.
Takes plane axes of shape n_planes, 3, 3
# Takes coordinates of shape N, M, 3
# returns projections of shape N*n_planes, M, 2
"""
N, M, C = coordinates.shape
n_planes, _, _ = planes.shape
coordinates = coordinates.unsqueeze(1).expand(-1, n_planes, -1, -1).reshape(N*n_planes, M, 3)
inv_planes = torch.linalg.inv(planes).unsqueeze(0).expand(N, -1, -1, -1).reshape(N*n_planes, 3, 3)
projections = torch.bmm(coordinates, inv_planes)
return projections[..., :2]
def sample_from_planes(plane_axes, plane_features, coordinates, mode='bilinear', padding_mode='zeros', box_warp=None):
assert padding_mode == 'zeros'
N, n_planes, C, H, W = plane_features.shape
_, M, _ = coordinates.shape
plane_features = plane_features.view(N*n_planes, C, H, W)
coordinates = (2/box_warp) * coordinates # add specific box bounds
# print(coordinates.max(), coordinates.min())
# import pdb; pdb.set_trace()
projected_coordinates = project_onto_planes(plane_axes, coordinates).unsqueeze(1)
# output_features = grid_sample.grid_sample_2d(plane_features, projected_coordinates.float().to(plane_features.device)).permute(0, 3, 2, 1).reshape(N, n_planes, M, C)
output_features = torch.nn.functional.grid_sample(plane_features.float(), projected_coordinates.float(), mode=mode, padding_mode=padding_mode, align_corners=False).permute(0, 3, 2, 1).reshape(N, n_planes, M, C)
return output_features
def sample_from_3dgrid(grid, coordinates):
"""
Expects coordinates in shape (batch_size, num_points_per_batch, 3)
Expects grid in shape (1, channels, H, W, D)
(Also works if grid has batch size)
Returns sampled features of shape (batch_size, num_points_per_batch, feature_channels)
"""
batch_size, n_coords, n_dims = coordinates.shape
sampled_features = torch.nn.functional.grid_sample(grid.expand(batch_size, -1, -1, -1, -1),
coordinates.reshape(batch_size, 1, 1, -1, n_dims),
mode='bilinear', padding_mode='zeros', align_corners=False)
N, C, H, W, D = sampled_features.shape
sampled_features = sampled_features.permute(0, 4, 3, 2, 1).reshape(N, H*W*D, C)
return sampled_features
class ImportanceRenderer(torch.nn.Module):
"""
Modified original version to filter out-of-box samples as TensoRF does.
Reference:
TensoRF: https://github.com/apchenstu/TensoRF/blob/main/models/tensorBase.py#L277
"""
def __init__(self):
super().__init__()
self.activation_factory = self._build_activation_factory()
self.ray_marcher = MipRayMarcher2(self.activation_factory)
self.plane_axes = generate_planes()
def _build_activation_factory(self):
def activation_factory(options: dict):
if options['clamp_mode'] == 'softplus':
return lambda x: F.softplus(x - 1) # activation bias of -1 makes things initialize better
else:
assert False, "Renderer only supports `clamp_mode`=`softplus`!"
return activation_factory
def _forward_pass(self, depths: torch.Tensor, ray_directions: torch.Tensor, ray_origins: torch.Tensor,
planes: torch.Tensor, decoder: nn.Module, rendering_options: dict):
"""
Additional filtering is applied to filter out-of-box samples.
Modifications made by Zexin He.
"""
# context related variables
batch_size, num_rays, samples_per_ray, _ = depths.shape
device = depths.device
# define sample points with depths
sample_directions = ray_directions.unsqueeze(-2).expand(-1, -1, samples_per_ray, -1).reshape(batch_size, -1, 3)
sample_coordinates = (ray_origins.unsqueeze(-2) + depths * ray_directions.unsqueeze(-2)).reshape(batch_size, -1, 3)
# print(f'min bbox: {sample_coordinates.min()}, max bbox: {sample_coordinates.max()}')
# import pdb; pdb.set_trace()
# filter out-of-box samples
mask_inbox = \
(rendering_options['sampler_bbox_min'] <= sample_coordinates) & \
(sample_coordinates <= rendering_options['sampler_bbox_max'])
mask_inbox = mask_inbox.all(-1)
# forward model according to all samples
_out = self.run_model(planes, decoder, sample_coordinates, sample_directions, rendering_options)
# set out-of-box samples to zeros(rgb) & -inf(sigma)
SAFE_GUARD = 3
DATA_TYPE = _out['sdf'].dtype
colors_pass = torch.zeros(batch_size, num_rays * samples_per_ray, 3, device=device, dtype=DATA_TYPE)
normals_pass = torch.zeros(batch_size, num_rays * samples_per_ray, 3, device=device, dtype=DATA_TYPE)
sdfs_pass = torch.nan_to_num(torch.full((batch_size, num_rays * samples_per_ray, 1), -float('inf'), device=device, dtype=DATA_TYPE)) / SAFE_GUARD
# print(DATA_TYPE)
# import pdb; pdb.set_trace()
# colors_pass[mask_inbox], sdfs_pass[mask_inbox] = _out['rgb'][mask_inbox], _out['sdf'][mask_inbox]
colors_pass[mask_inbox], sdfs_pass = _out['rgb'][mask_inbox], _out['sdf']
normals_pass = _out['normal']
# reshape back
colors_pass = colors_pass.reshape(batch_size, num_rays, samples_per_ray, colors_pass.shape[-1])
sdfs_pass = sdfs_pass.reshape(batch_size, num_rays, samples_per_ray, sdfs_pass.shape[-1])
normals_pass = normals_pass.reshape(batch_size, num_rays, samples_per_ray, normals_pass.shape[-1])
return colors_pass, sdfs_pass, normals_pass, _out['sdf_grad']
def forward(self, planes, decoder, ray_origins, ray_directions, rendering_options, bgcolor=None):
# self.plane_axes = self.plane_axes.to(ray_origins.device)
if rendering_options['ray_start'] == 'auto' == rendering_options['ray_end']:
ray_start, ray_end = math_utils.get_ray_limits_box(ray_origins, ray_directions, box_side_length=rendering_options['box_warp']) # [1, N_ray, 1]
is_ray_valid = ray_end > ray_start
if torch.any(is_ray_valid).item():
ray_start[~is_ray_valid] = ray_start[is_ray_valid].min()
ray_end[~is_ray_valid] = ray_start[is_ray_valid].max()
depths_coarse = self.sample_stratified(ray_origins, ray_start, ray_end, rendering_options['depth_resolution'], rendering_options['disparity_space_sampling']) # [1, N_ray, N_sample, 1]】
else:
# Create stratified depth samples
depths_coarse = self.sample_stratified(ray_origins, rendering_options['ray_start'], rendering_options['ray_end'], rendering_options['depth_resolution'], rendering_options['disparity_space_sampling'])
# Coarse Pass
colors_coarse, sdfs_coarse, normals_coarse, sdf_grad = self._forward_pass(
depths=depths_coarse, ray_directions=ray_directions, ray_origins=ray_origins,
planes=planes, decoder=decoder, rendering_options=rendering_options)
# Fine Pass
N_importance = rendering_options['depth_resolution_importance']
# TODO
if N_importance > 0:
_, _, weights = self.ray_marcher(colors_coarse, sdfs_coarse, depths_coarse, sdf_grad.reshape(*normals_coarse.shape), ray_directions, rendering_options, bgcolor)
depths_fine = self.sample_importance(depths_coarse, weights, N_importance)
colors_fine, densities_fine = self._forward_pass(
depths=depths_fine, ray_directions=ray_directions, ray_origins=ray_origins,
planes=planes, decoder=decoder, rendering_options=rendering_options)
all_depths, all_colors, all_densities = self.unify_samples(depths_coarse, colors_coarse, densities_coarse,
depths_fine, colors_fine, densities_fine)
####
# dists = depths_coarse[:, :, 1:, :] - depths_coarse[:, :, :-1, :]
# inter = (ray_end - ray_start) / ( rendering_options['depth_resolution'] + rendering_options['depth_resolution_importance'] - 1) # [1, N_ray, 1]
# dists = torch.cat([dists, inter.unsqueeze(2), 2])
####
# Aggregate
rgb_final, depth_final, weights = self.ray_marcher(all_colors, all_densities, all_depths, rendering_options, bgcolor)
else:
# # import pdb; pdb.set_trace()
# dists = depths_coarse[:, :, 1:, :] - depths_coarse[:, :, :-1, :]
# inter = (ray_end - ray_start) / ( rendering_options['depth_resolution'] - 1) # [1, N_ray, 1]
# dists = torch.cat([dists, inter.unsqueeze(2)], 2)
# # import ipdb; ipdb.set_trace()
# rgb_final, depth_final, weights = self.ray_marcher(colors_coarse, sdfs_coarse, depths_coarse, normals_coarse, dists, ray_directions, rendering_options, bgcolor)
rgb_final, depth_final, weights, normal_final = self.ray_marcher(colors_coarse, sdfs_coarse, depths_coarse, sdf_grad.reshape(*normals_coarse.shape), ray_directions, rendering_options, bgcolor, normals_coarse)
# import ipdb; ipdb.set_trace()
return rgb_final, depth_final, weights.sum(2), sdf_grad, normal_final
def run_model(self, planes, decoder, sample_coordinates, sample_directions, options):
plane_axes = self.plane_axes.to(planes.device)
out = decoder(sample_directions, sample_coordinates, plane_axes, planes, options)
# if options.get('density_noise', 0) > 0:
# out['sigma'] += torch.randn_like(out['sigma']) * options['density_noise']
return out
def run_model_activated(self, planes, decoder, sample_coordinates, sample_directions, options):
out = self.run_model(planes, decoder, sample_coordinates, sample_directions, options)
out['sigma'] = self.activation_factory(options)(out['sigma'])
return out
def sort_samples(self, all_depths, all_colors, all_densities):
_, indices = torch.sort(all_depths, dim=-2)
all_depths = torch.gather(all_depths, -2, indices)
all_colors = torch.gather(all_colors, -2, indices.expand(-1, -1, -1, all_colors.shape[-1]))
all_densities = torch.gather(all_densities, -2, indices.expand(-1, -1, -1, 1))
return all_depths, all_colors, all_densities
def unify_samples(self, depths1, colors1, densities1, depths2, colors2, densities2):
all_depths = torch.cat([depths1, depths2], dim = -2)
all_colors = torch.cat([colors1, colors2], dim = -2)
all_densities = torch.cat([densities1, densities2], dim = -2)
_, indices = torch.sort(all_depths, dim=-2)
all_depths = torch.gather(all_depths, -2, indices)
all_colors = torch.gather(all_colors, -2, indices.expand(-1, -1, -1, all_colors.shape[-1]))
all_densities = torch.gather(all_densities, -2, indices.expand(-1, -1, -1, 1))
return all_depths, all_colors, all_densities
def sample_stratified(self, ray_origins, ray_start, ray_end, depth_resolution, disparity_space_sampling=False):
"""
Return depths of approximately uniformly spaced samples along rays.
"""
N, M, _ = ray_origins.shape
if disparity_space_sampling:
depths_coarse = torch.linspace(0,
1,
depth_resolution,
device=ray_origins.device).reshape(1, 1, depth_resolution, 1).repeat(N, M, 1, 1)
depth_delta = 1/(depth_resolution - 1)
depths_coarse += torch.rand_like(depths_coarse) * depth_delta
depths_coarse = 1./(1./ray_start * (1. - depths_coarse) + 1./ray_end * depths_coarse)
else:
if type(ray_start) == torch.Tensor:
depths_coarse = math_utils.linspace(ray_start, ray_end, depth_resolution).permute(1,2,0,3)
depth_delta = (ray_end - ray_start) / (depth_resolution - 1)
depths_coarse += torch.rand_like(depths_coarse) * depth_delta[..., None]
else:
depths_coarse = torch.linspace(ray_start, ray_end, depth_resolution, device=ray_origins.device).reshape(1, 1, depth_resolution, 1).repeat(N, M, 1, 1)
depth_delta = (ray_end - ray_start)/(depth_resolution - 1)
depths_coarse += torch.rand_like(depths_coarse) * depth_delta
return depths_coarse
def sample_importance(self, z_vals, weights, N_importance):
"""
Return depths of importance sampled points along rays. See NeRF importance sampling for more.
"""
with torch.no_grad():
batch_size, num_rays, samples_per_ray, _ = z_vals.shape
z_vals = z_vals.reshape(batch_size * num_rays, samples_per_ray)
weights = weights.reshape(batch_size * num_rays, -1) # -1 to account for loss of 1 sample in MipRayMarcher
# smooth weights
weights = torch.nn.functional.max_pool1d(weights.unsqueeze(1).float(), 2, 1, padding=1)
weights = torch.nn.functional.avg_pool1d(weights, 2, 1).squeeze()
weights = weights + 0.01
z_vals_mid = 0.5 * (z_vals[: ,:-1] + z_vals[: ,1:])
importance_z_vals = self.sample_pdf(z_vals_mid, weights[:, 1:-1],
N_importance).detach().reshape(batch_size, num_rays, N_importance, 1)
return importance_z_vals
def sample_pdf(self, bins, weights, N_importance, det=False, eps=1e-5):
"""
Sample @N_importance samples from @bins with distribution defined by @weights.
Inputs:
bins: (N_rays, N_samples_+1) where N_samples_ is "the number of coarse samples per ray - 2"
weights: (N_rays, N_samples_)
N_importance: the number of samples to draw from the distribution
det: deterministic or not
eps: a small number to prevent division by zero
Outputs:
samples: the sampled samples
"""
N_rays, N_samples_ = weights.shape
weights = weights + eps # prevent division by zero (don't do inplace op!)
pdf = weights / torch.sum(weights, -1, keepdim=True) # (N_rays, N_samples_)
cdf = torch.cumsum(pdf, -1) # (N_rays, N_samples), cumulative distribution function
cdf = torch.cat([torch.zeros_like(cdf[: ,:1]), cdf], -1) # (N_rays, N_samples_+1)
# padded to 0~1 inclusive
if det:
u = torch.linspace(0, 1, N_importance, device=bins.device)
u = u.expand(N_rays, N_importance)
else:
u = torch.rand(N_rays, N_importance, device=bins.device)
u = u.contiguous()
inds = torch.searchsorted(cdf, u, right=True)
below = torch.clamp_min(inds-1, 0)
above = torch.clamp_max(inds, N_samples_)
inds_sampled = torch.stack([below, above], -1).view(N_rays, 2*N_importance)
cdf_g = torch.gather(cdf, 1, inds_sampled).view(N_rays, N_importance, 2)
bins_g = torch.gather(bins, 1, inds_sampled).view(N_rays, N_importance, 2)
denom = cdf_g[...,1]-cdf_g[...,0]
denom[denom<eps] = 1 # denom equals 0 means a bin has weight 0, in which case it will not be sampled
# anyway, therefore any value for it is fine (set to 1 here)
samples = bins_g[...,0] + (u-cdf_g[...,0])/denom * (bins_g[...,1]-bins_g[...,0])
return samples
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