Modern Approaches to Discrete Curvature

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Najman, Laurent (Επιμελητής έκδοσης), Romon, Pascal (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Lecture Notes in Mathematics, 2184
• Θέματα: Mathematics.; Algebraic geometry.; Computer mathematics.; Geometry.; Discrete mathematics.; Algebraic Geometry.; Discrete Mathematics.; Computational Mathematics and Numerical Analysis.

 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. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discret...

Πίνακας περιεχομένων:

• 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.