Annals of Mathematical Sciences and Applications

Volume 3 (2018)

Number 1

Special issue in honor of Professor David Mumford, dedicated to the memory of Jennifer Mumford

Guest Editors: Stuart Geman, David Gu, Stanley Osher, Chi-Wang Shu, Yang Wang, and Shing-Tung Yau

Contents

Preface: Special issue in honor of Professor David Mumford, dedicated to the memory of Jennifer Mumford

Stuart Geman

pp. 1-3

Mathematical sciences related to theoretical physics, engineering, biology and economics

Accuracy of Ptolemy’s Almagest in predicting solar eclipses

Jayant Shah

pp. 7-29

A realization of Thurston’s geometrization: discrete Ricci flow with surgery

Paul M. Alsing, Warner A. Miller, and Shing-Tung Yau

pp. 31-45

Fluid dynamics, numerical linear algebra, imaging, computations related to fluid dynamics, condensed matter physics, etc.

A second order free discontinuity model for bituminous surfacing crack recovery and analysis of a nonlocal version of it

Noémie Debroux, Carole Le Guyader, and Luminita Vese

pp. 49-88

A survey of exemplar-based texture synthesis

Lara Raad, Axel Davy, Agnès Desolneux, and Jean-Michel Morel

pp. 89-148

Optimization, wavelet, financial mathematics and mathematical problems related to statistics

Visual concepts and compositional voting

Jianyu Wang, Zhishuai Zhang, Cihang Xie, Yuyin Zhou, Vittal Premachandran, Jun Zhu, Lingxi Xie, and Alan Yuille

pp. 151-188

Hybrid Riemannian metrics for diffeomorphic shape registration

Laurent Younes

pp. 189-210

Sparse and deep generalizations of the FRAME model

Ying Nian Wu, Jianwen Xie, Yang Lu, and Song-Chun Zhu

pp. 211-254

New region force for variational models in image segmentation and high dimensional data clustering

Ke Wei, Ke Yin, Xue-Cheng Tai, and Tony F. Chan

pp. 255-286

Bayesian goodness of fit tests: a conversation for David Mumford

Persi Diaconis and Guanyang Wang

pp. 287-308

Stochastic metamorphosis in imaging science

Darryl D. Holm

pp. 309-335

Data recovery on a manifold from linear samples: theory and computation

Jian-Feng Cai, Yi Rong, Yang Wang, and Zhiqiang Xu

pp. 337-365