All functions

blur()

Gaussian blur of an array

blur_sigmas()

Standard deviation of Gaussian blur

get_blur_range() hom_degree() max_hom_degree() get_hom_range()

(Maximum) topological dimension or homological degree

mnist_train mnist_test

MNIST handwritten digits

step_blur()

Blur raster data

step_pd_degree()

Separate persistent pairs by homological degree

step_pd_point_cloud()

Persistent homology of point clouds

step_pd_raster()

Persistent homology of raster data (images)

step_vpd_algebraic_functions()

Algebraic Functions Vectorization of Persistent Homology

step_vpd_betti_curve()

Betti Curve Vectorization of Persistent Homology

step_vpd_complex_polynomial()

Complex Polynomial Vectorization of Persistent Homology

step_vpd_descriptive_statistics()

Descriptive Statistics Vectorization of Persistent Homology

step_vpd_euler_characteristic_curve()

Euler Characteristic Curve Vectorization of Persistent Homology

step_vpd_normalized_life_curve()

Normalized Life Curve Vectorization of Persistent Homology

step_vpd_persistence_block()

Persistence Block Vectorization of Persistent Homology

step_vpd_persistence_image()

Persistence Image Vectorization of Persistent Homology

step_vpd_persistence_landscape()

Persistence Landscape Vectorization of Persistent Homology

step_vpd_persistence_silhouette()

Persistence Silhouette Vectorization of Persistent Homology

step_vpd_persistent_entropy_summary()

Persistent Entropy Summary Vectorization of Persistent Homology

step_vpd_tent_template_functions()

Tent Template Functions Vectorization of Persistent Homology

step_vpd_tropical_coordinates()

Tropical Coordinates Vectorization of Persistent Homology

num_coef() poly_type() img_sigma() num_levels() weight_func_pl() bandwidth() weight_power() num_bars() num_bins() tent_shift()

Tune Vectorizations of Persistent Homology

get_pairs_max() get_pers_max_frac() get_pers_min_mult()

Finalizers for persistent homology vectorizations

ph_dim() pairs_min() pairs_max() birth_range() pers_max() pers_min() pers_range() life_support()

Summarize topological data