Modern Approaches to Discrete Curvature

Häftad, Engelska, 2017

Del 2184 i serien Lecture Notes in Mathematics

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Beskrivning

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

Produktinformation

Utgivningsdatum:2017-10-05
Mått:155 x 235 x 25 mm
Vikt:568 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:353
Upplaga:17001
Förlag:Springer International Publishing AG
ISBN:9783319580012

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Innehållsförteckning

1 The geometric meaning of curvature. Local and nonlocal aspects of Ricci curvature.- 2 Metric Curvatures Revisited - A Brief Overview.- 3 Distances between datasets.- 4 Inference of curvature using tubular neighborhoods.- 5 Entropic Ricci curvature for discrete spaces.- 5 Geometric and spectral consequences of curvature bounds on tesselatations.- 7 The geometric spectrum of a graph and associated curvatures.- 8 Discrete minimal surfaces of Koebe type.- 9 Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants.- References.- List of Figures.- Index.