Docs: curve module¶
Contents:
-
euchar.curve.filtration(simplices, parametrization, bins)¶ Compute the Euler characteristic curve of a filtration.
- simplices
np.ndarray of shape (N, 3) or (N, 4). Each row is a simplex. For example [2 4 -1] is the edge (2,4) and [2 4 9] the triangle (2,4,9).
- parametrization
np.ndarray of floats
- bins
np.ndarray of sorted floats, used to bin the parametrization values of simplices
- euler_char_curve
np.ndarray of integers
-
euchar.curve.image_2D(image, vector_of_euler_changes_2D=None, max_intensity=255)¶ Euler characteristic curve of 2D image.
This uses the vector of all possible Euler characteristic changes produced by a pixel insertion in 2D images. This is recomputed every time this function is called if it is not passes as a parameter.
- image
np.ndarray of integers
- vector_of_euler_changes_2D
list of integers, precomputed Euler characteristic changes produced by a single pixel insertion
- max_intensity
maximum value of elements in image
- euler_char_curve
np.array of integers
-
euchar.curve.image_3D(image, vector_of_euler_changes_3D=None, max_intensity=255)¶ Euler characteristic curve of 3D image.
This uses the vector of all possible Euler characteristic changes produced by a voxel insertion in 3D images. This is must be passed as a parameter.
- image
np.ndarray of integers
- vector_of_euler_changes_3D
list of integers, precomputed Euler characteristic changes produced by a single voxel insertion
- max_intensity
maximum value of elements in image
- euler_char_curve
np.ndarray of integers
