Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

This book provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields, including statistics, medical imaging, computer vision, pattern recognition, and bioinformatics. The authors introduce the relevant background material from statistics and differential geometry and explore ongoing research areas. Numerous exercises reinforce readers’ understanding of the underlying theoretical concepts.