eradiate.warp#
- eradiate.warp.square_to_uniform_disk_concentric(sample)[source]#
Low-distortion concentric square to disk mapping.
- Parameters:
sample (array-like) – A (N, 2) array of sample values.
- Returns:
ndarray– Sampled coordinates on the unit disk as a (N, 2) array.
Notes
The function tries to be flexible with arrays with (N, 1) and (N,) arrays and attempts reshaping them to (N/2, 2). This, in particular, means that the following call will produce the expected result:
square_to_uniform_disk_concentric((0.5, 0.5))
- eradiate.warp.square_to_uniform_hemisphere(sample)[source]#
Uniformly sample a vector on the unit hemisphere with respect to solid angles.
- Parameters:
sample (array-like) – A (N, 2) array of sample values.
- Returns:
ndarray– Sampled coordinates on the unit hemisphere as a (N, 3) array.
Notes
The function tries to be flexible with arrays with (N, 1) and (N,) arrays and attempts reshaping them to (N/2, 2). This, in particular, means that the following call will produce the expected result:
square_to_uniform_hemisphere((0.5, 0.5))
- eradiate.warp.uniform_disk_to_square_concentric(p)[source]#
Inverse of the mapping square_to_uniform_disk_concentric.
- Parameters:
p (array-like) – A (N, 2) array of vectors on the unit disk.
- Returns:
ndarray– Corresponding coordinates on the [0, 1]² square as a (N, 2) array.
Notes
The function tries to be flexible with arrays with (N, 1) and (N,) arrays and attempts reshaping them to (N/2, 2). This, in particular, means that the following call will produce the expected result:
uniform_disk_to_square_concentric((0, 0))
- eradiate.warp.uniform_hemisphere_to_square(v)[source]#
Inverse of the mapping square_to_uniform_hemisphere.
- Parameters:
v (array-like) – A (N, 3) array of vectors on the unit sphere.
- Returns:
ndarray– Corresponding coordinates on the [0, 1]² square as a (N, 2) array.
Notes
The function tries to be flexible with arrays with (N, 1) and (N,) arrays and attempts reshaping them to (N/3, 3). This, in particular, means that the following call will produce the expected result:
uniform_hemisphere_to_square((0, 0, 1))