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Title Riemannian Computing in Computer Vision [electronic resource] / edited by Pavan K. Turaga, Anuj Srivastava.

Published Cham : Springer, 2016.


Location Call No. Status
Physical description 1 online resource (VI, 391 p.) : ill. (some col.)
Series Springer English/International eBooks 2016 - Full Set
Springer Engineering eBooks 2016 English+International
Contents Welcome to Riemannian Computing in Computer Vision -- Recursive Computation of the Fŕechet 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.
Notes Includes index.
Summary This book presents a comprehensive treatise on Riemannian geometric computations and related statistical inferences in several computer vision problems. This edited volume includes chapter contributions from leading figures in the field of computer vision who are applying Riemannian geometric approaches in problems such as face recognition, activity recognition, object detection, biomedical image analysis, and structure-from-motion. Some of the mathematical entities that necessitate a geometric analysis include rotation matrices (e.g. in modeling camera motion), stick figures (e.g. for activity recognition), subspace comparisons (e.g. in face recognition), symmetric positive-definite matrices (e.g. in diffusion tensor imaging), and function-spaces (e.g. in studying shapes of closed contours). · Illustrates Riemannian computing theory on applications in computer vision, machine learning, and robotics · Emphasis on algorithmic advances that will allow re-application in other contexts · Written by leading researchers in computer vision and Riemannian computing, from universities and industry.
Other author Turaga, Pavan K. editor.
Srivastava, Anuj. editor.
SpringerLink issuing body.
Subject Computer vision -- Mathematics.
Image processing.
Engineering mathematics.
Electronic books.
ISBN 9783319229577 electronic bk.
3319229575 electronic bk.
Standard Number 10.1007/978-3-319-22957-7