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.vscode | ||
*.ipynb | ||
*.safetensors | ||
*.ckpt | ||
__pycache__/ | ||
checkpoints | ||
output | ||
smplx/assets/MANO_SMPLX_vertex_ids.pkl | ||
smplx/assets/SMPLX_NEUTRAL_2020.npz | ||
smplx/assets/SMPL-X__FLAME_vertex_ids.npy | ||
smplx/assets/smplx_extra_joints.yaml | ||
smplx/assets/SMPLX_to_J14.pkl |
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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. | ||
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""" | ||
Helper functions for constructing camera parameter matrices. Primarily used in visualization and inference scripts. | ||
""" | ||
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import math | ||
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import torch | ||
import torch.nn as nn | ||
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import math_utils | ||
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class GaussianCameraPoseSampler: | ||
""" | ||
Samples pitch and yaw from a Gaussian distribution and returns a camera pose. | ||
Camera is specified as looking at the origin. | ||
If horizontal and vertical stddev (specified in radians) are zero, gives a | ||
deterministic camera pose with yaw=horizontal_mean, pitch=vertical_mean. | ||
The coordinate system is specified with y-up, z-forward, x-left. | ||
Horizontal mean is the azimuthal angle (rotation around y axis) in radians, | ||
vertical mean is the polar angle (angle from the y axis) in radians. | ||
A point along the z-axis has azimuthal_angle=0, polar_angle=pi/2. | ||
Example: | ||
For a camera pose looking at the origin with the camera at position [0, 0, 1]: | ||
cam2world = GaussianCameraPoseSampler.sample(math.pi/2, math.pi/2, radius=1) | ||
""" | ||
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@staticmethod | ||
def sample(horizontal_mean, vertical_mean, horizontal_stddev=0, vertical_stddev=0, radius=1, batch_size=1, device='cpu'): | ||
h = torch.randn((batch_size, 1), device=device) * horizontal_stddev + horizontal_mean | ||
v = torch.randn((batch_size, 1), device=device) * vertical_stddev + vertical_mean | ||
v = torch.clamp(v, 1e-5, math.pi - 1e-5) | ||
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theta = h | ||
v = v / math.pi | ||
phi = torch.arccos(1 - 2*v) | ||
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camera_origins = torch.zeros((batch_size, 3), device=device) | ||
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# camera_origins[:, 0:1] = radius*torch.sin(phi) * torch.cos(math.pi-theta) | ||
# camera_origins[:, 2:3] = radius*torch.sin(phi) * torch.sin(math.pi-theta) | ||
# camera_origins[:, 1:2] = radius*torch.cos(phi) | ||
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camera_origins[:, 1:2] = -radius*torch.sin(phi) * torch.cos(math.pi-theta) | ||
camera_origins[:, 0:1] = radius*torch.sin(phi) * torch.sin(math.pi-theta) | ||
camera_origins[:, 2:3] = radius*torch.cos(phi) | ||
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forward_vectors = math_utils.normalize_vecs(camera_origins) | ||
return create_cam2world_matrix(forward_vectors, camera_origins) | ||
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class LookAtPoseSampler: | ||
""" | ||
Same as GaussianCameraPoseSampler, except the | ||
camera is specified as looking at 'lookat_position', a 3-vector. | ||
Example: | ||
For a camera pose looking at the origin with the camera at position [0, 0, 1]: | ||
cam2world = LookAtPoseSampler.sample(math.pi/2, math.pi/2, torch.tensor([0, 0, 0]), radius=1) | ||
""" | ||
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@staticmethod | ||
def sample(horizontal_mean, vertical_mean, lookat_position, horizontal_stddev=0, vertical_stddev=0, radius=1, batch_size=1, device='cpu'): | ||
h = torch.randn((batch_size, 1), device=device) * horizontal_stddev + horizontal_mean | ||
v = torch.randn((batch_size, 1), device=device) * vertical_stddev + vertical_mean | ||
v = torch.clamp(v, 1e-5, math.pi - 1e-5) | ||
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theta = h | ||
#v = v / math.pi | ||
phi = v #torch.arccos(1 - 2*v) | ||
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camera_origins = torch.zeros((batch_size, 3), device=device) | ||
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camera_origins[:, 0:1] = radius*torch.sin(phi) * torch.cos(theta) | ||
camera_origins[:, 1:2] = radius*torch.sin(phi) * torch.sin(theta) | ||
camera_origins[:, 2:3] = radius*torch.cos(phi) | ||
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#print(camera_origins) | ||
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# forward_vectors = math_utils.normalize_vecs(-camera_origins) | ||
forward_vectors = math_utils.normalize_vecs(lookat_position - camera_origins) | ||
return create_cam2world_matrix(forward_vectors, camera_origins) | ||
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class UniformCameraPoseSampler: | ||
""" | ||
Same as GaussianCameraPoseSampler, except the | ||
pose is sampled from a uniform distribution with range +-[horizontal/vertical]_stddev. | ||
Example: | ||
For a batch of random camera poses looking at the origin with yaw sampled from [-pi/2, +pi/2] radians: | ||
cam2worlds = UniformCameraPoseSampler.sample(math.pi/2, math.pi/2, horizontal_stddev=math.pi/2, radius=1, batch_size=16) | ||
""" | ||
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@staticmethod | ||
def sample(horizontal_mean, vertical_mean, horizontal_stddev=0, vertical_stddev=0, radius=1, batch_size=1, device='cpu'): | ||
h = (torch.rand((batch_size, 1), device=device) * 2 - 1) * horizontal_stddev + horizontal_mean | ||
v = (torch.rand((batch_size, 1), device=device) * 2 - 1) * vertical_stddev + vertical_mean | ||
v = torch.clamp(v, 1e-5, math.pi - 1e-5) | ||
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theta = h | ||
v = v / math.pi | ||
phi = torch.arccos(1 - 2*v) | ||
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camera_origins = torch.zeros((batch_size, 3), device=device) | ||
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camera_origins[:, 0:1] = radius*torch.sin(phi) * torch.cos(math.pi-theta) | ||
camera_origins[:, 2:3] = radius*torch.sin(phi) * torch.sin(math.pi-theta) | ||
camera_origins[:, 1:2] = radius*torch.cos(phi) | ||
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forward_vectors = math_utils.normalize_vecs(-camera_origins) | ||
return create_cam2world_matrix(forward_vectors, camera_origins) | ||
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def create_cam2world_matrix(forward_vector, origin): | ||
""" | ||
Takes in the direction the camera is pointing and the camera origin and returns a cam2world matrix. | ||
Works on batches of forward_vectors, origins. Assumes y-axis is up and that there is no camera roll. | ||
""" | ||
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forward_vector = math_utils.normalize_vecs(forward_vector) | ||
up_vector = torch.tensor([0, 0, 1], dtype=torch.float, device=origin.device).expand_as(forward_vector) | ||
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right_vector = math_utils.normalize_vecs(torch.cross(forward_vector, up_vector, dim=-1)) | ||
up_vector = math_utils.normalize_vecs(torch.cross(right_vector, forward_vector, dim=-1)) | ||
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rotation_matrix = torch.eye(4, device=origin.device).unsqueeze(0).repeat(forward_vector.shape[0], 1, 1) | ||
rotation_matrix[:, :3, :3] = torch.stack((right_vector, up_vector, -forward_vector), axis=-1) | ||
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translation_matrix = torch.eye(4, device=origin.device).unsqueeze(0).repeat(forward_vector.shape[0], 1, 1) | ||
translation_matrix[:, :3, 3] = origin | ||
cam2world = (translation_matrix @ rotation_matrix)[:, :, :] | ||
assert(cam2world.shape[1:] == (4, 4)) | ||
return cam2world | ||
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def FOV_to_intrinsics(fov_degrees, device='cpu'): | ||
""" | ||
Creates a 3x3 camera intrinsics matrix from the camera field of view, specified in radians. | ||
Note the intrinsics are returned as normalized by image size, rather than in pixel units. | ||
Assumes principal point is at image center. | ||
""" | ||
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focal_length = float(0.5*512 / (math.tan(0.5 * fov_degrees) )) | ||
intrinsics = torch.tensor([[focal_length, 0, 0.5*512], [0, focal_length, 0.5*512], [0, 0, 1]], device=device) | ||
return intrinsics |
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