Regression and Fitting on Manifold-valued Data

This book introduces in a constructive manner a general framework for regression and fitting methods for many applications and tasks involving data on manifolds. The methodology has important and varied applications in machine learning, medicine, robotics, biology, computer vision, human biometrics, nanomanufacturing, signal processing, and image analysis, etc.

The first chapter gives motivation examples, a wide range of applications, raised challenges, raised challenges, and some concerns. ...