Geometric and Topological Inference

01.0_pp_i_iv_frontmatter......Page 2
02.0_pp_v_vii_Contents......Page 6
03.0_pp_viii_xii_Introduction......Page 9
04.0_pp_1_2_Topological_Preliminaries......Page 14
04.1_pp_3_9_Topological_Spaces......Page 16
04.2_pp_10_20_Simplicial_Complexes......Page 23
05.0_pp_21_22_Delaunay_Complexes......Page 34
05.1_pp_23_43_Convex_Polytopes......Page 36
05.2_pp_44_68_Delaunay_Complexes......Page 57
05.3_pp_69_97_Good_Triangulations......Page 82
05.4_pp_98_112_Delaunay_Filtrations......Page 111
06.0_pp_113_114_Reconstruction_of_Smooth_Submanifolds......Page 126
06.1_pp_115_136_Triangulation_of_Submanifolds......Page 128
06.2_pp_137_160_Reconstruction_of_Submanifolds......Page 150
07.0_pp_161_162_Distance-Based_Inference......Page 174
07.1_pp_163_179_Stability_of_Distance_Functions......Page 176
07.2_pp_180_196_Distance_to_Probability_Measures......Page 193
07.3_pp_197_223_Homology_Inference......Page 210
08.0_pp_224_230_Bibliography......Page 237
09.0_pp_231_234_Index......Page 244