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import torch
import torch.nn.functional as F
import numpy as np
def pad_camera_extrinsics_4x4(extrinsics):
if extrinsics.shape[-2] == 4:
return extrinsics
padding = torch.tensor([[0, 0, 0, 1]]).to(extrinsics)
if extrinsics.ndim == 3:
padding = padding.unsqueeze(0).repeat(extrinsics.shape[0], 1, 1)
extrinsics = torch.cat([extrinsics, padding], dim=-2)
return extrinsics
def center_looking_at_camera_pose(camera_position: torch.Tensor, look_at: torch.Tensor = None, up_world: torch.Tensor = None):
"""
Create OpenGL camera extrinsics from camera locations and look-at position.
camera_position: (M, 3) or (3,)
look_at: (3)
up_world: (3)
return: (M, 3, 4) or (3, 4)
"""
# by default, looking at the origin and world up is z-axis
if look_at is None:
look_at = torch.tensor([0, 0, 0], dtype=torch.float32)
if up_world is None:
up_world = torch.tensor([0, 0, 1], dtype=torch.float32)
if camera_position.ndim == 2:
look_at = look_at.unsqueeze(0).repeat(camera_position.shape[0], 1)
up_world = up_world.unsqueeze(0).repeat(camera_position.shape[0], 1)
# OpenGL camera: z-backward, x-right, y-up
z_axis = camera_position - look_at
z_axis = F.normalize(z_axis, dim=-1).float()
x_axis = torch.linalg.cross(up_world, z_axis, dim=-1)
x_axis = F.normalize(x_axis, dim=-1).float()
y_axis = torch.linalg.cross(z_axis, x_axis, dim=-1)
y_axis = F.normalize(y_axis, dim=-1).float()
extrinsics = torch.stack([x_axis, y_axis, z_axis, camera_position], dim=-1)
extrinsics = pad_camera_extrinsics_4x4(extrinsics)
return extrinsics
def spherical_camera_pose(azimuths: np.ndarray, elevations: np.ndarray, radius=2.5):
azimuths = np.deg2rad(azimuths)
elevations = np.deg2rad(elevations)
xs = radius * np.cos(elevations) * np.cos(azimuths)
ys = radius * np.cos(elevations) * np.sin(azimuths)
zs = radius * np.sin(elevations)
cam_locations = np.stack([xs, ys, zs], axis=-1)
cam_locations = torch.from_numpy(cam_locations).float()
c2ws = center_looking_at_camera_pose(cam_locations)
return c2ws
def get_circular_camera_poses(M=120, radius=2.5, elevation=30.0):
# M: number of circular views
# radius: camera dist to center
# elevation: elevation degrees of the camera
# return: (M, 4, 4)
assert M > 0 and radius > 0
elevation = np.deg2rad(elevation)
camera_positions = []
for i in range(M):
azimuth = 2 * np.pi * i / M
x = radius * np.cos(elevation) * np.cos(azimuth)
y = radius * np.cos(elevation) * np.sin(azimuth)
z = radius * np.sin(elevation)
camera_positions.append([x, y, z])
camera_positions = np.array(camera_positions)
camera_positions = torch.from_numpy(camera_positions).float()
extrinsics = center_looking_at_camera_pose(camera_positions)
return extrinsics
def FOV_to_intrinsics(fov, device='cpu'):
"""
Creates a 3x3 camera intrinsics matrix from the camera field of view, specified in degrees.
Note the intrinsics are returned as normalized by image size, rather than in pixel units.
Assumes principal point is at image center.
"""
focal_length = 0.5 / np.tan(np.deg2rad(fov) * 0.5)
intrinsics = torch.tensor([[focal_length, 0, 0.5], [0, focal_length, 0.5], [0, 0, 1]], device=device)
return intrinsics
def get_zero123plus_input_cameras(batch_size=1, radius=4.0, fov=30.0):
"""
Get the input camera parameters.
"""
azimuths = np.array([30, 90, 150, 210, 270, 330]).astype(float)
elevations = np.array([20, -10, 20, -10, 20, -10]).astype(float)
c2ws = spherical_camera_pose(azimuths, elevations, radius)
c2ws = c2ws.float().flatten(-2)
Ks = FOV_to_intrinsics(fov).unsqueeze(0).repeat(6, 1, 1).float().flatten(-2)
extrinsics = c2ws[:, :12]
intrinsics = torch.stack([Ks[:, 0], Ks[:, 4], Ks[:, 2], Ks[:, 5]], dim=-1)
cameras = torch.cat([extrinsics, intrinsics], dim=-1)
return cameras.unsqueeze(0).repeat(batch_size, 1, 1)
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