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# Copyright (c) Meta Platforms, Inc. and affiliates.
# This source code is licensed under the MIT license found in the
# LICENSE file in the root directory of this source tree.
import numpy as np
import numpy.typing as npt
import logging
def get_projection_matrix(buffer_w: int, buffer_h: int, type_: str = 'perspective') -> npt.NDArray[np.float32]:
if type_ == 'perspective':
fov = 35.0
near = 0.1
aspect = buffer_w / buffer_h
top = near * np.tan(fov * np.pi / 360)
right = top * aspect
far = 10000.0
bottom = -top
left = -right
M_0_0 = (2 * near) / (right - left)
M_0_2 = (left + right) / (left - right)
M_1_1 = (2 * near) / (top - bottom)
M_1_2 = (bottom + top) / (bottom-top)
M_2_2 = (far + near) / (near - far)
M_2_3 = (2 * far * near) / (near - far)
M_3_2 = -1
M: npt.NDArray[np.float32] = np.zeros([4, 4], dtype=np.float32)
M[0, 0] = M_0_0
M[0, 2] = M_0_2
M[1, 1] = M_1_1
M[1, 2] = M_1_2
M[2, 2] = M_2_2
M[2, 3] = M_2_3
M[3, 2] = M_3_2
return M
else:
logging.critical(f'unsupported camera type specified: {type_}')
assert False