Riemannian Computing in Computer Vision

Pavan Turaga is an Assistant Professor at Arizona State University Anuj Srivastava is a Professor at Florida State University

• Welcome to Riemannian Computing in Computer Vision.- Recursive Computation of the Fr´echet Mean on Non-Positively Curved Riemannian Manifolds with Applications.- Kernels on Riemannian Manifolds.- Canonical Correlation Analysis on SPD(n) manifolds.- Probabilistic Geodesic Models for Regression and Dimensionality Reduction on Riemannian Manifolds.- Robust Estimation for Computer Vision using Grassmann Manifolds.- Motion Averaging in 3D Reconstruction Problems.- Lie-Theoretic Multi-Robot Localization.- CovarianceWeighted Procrustes Analysis.- Elastic Shape Analysis of Functions, Curves and Trajectories.- Why Use Sobolev Metrics on the Space of Curves.- Elastic Shape Analysis of Surfaces and Images.- Designing a Boosted Classifier on Riemannian Manifolds.- A General Least Squares Regression Framework on Matrix Manifolds for Computer Vision.- Domain Adaptation Using the Grassmann Manifold.- Coordinate Coding on the Riemannian Manifold of Symmetric Positive Definite Matrices for Image Classification.- Summarization and Search over Geometric Spaces.