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000752849 0247_ $$a10.1007/978-3-319-22957-7$$2doi
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000752849 24500 $$aRiemannian Computing in Computer Vision$$h[electronic resource] /$$cedited by Pavan K. Turaga, Anuj Srivastava.
000752849 264_1 $$aCham :$$bSpringer,$$c2016.
000752849 300__ $$a1 online resource (vi, 391 pages) :$$billustrations.
000752849 336__ $$atext$$btxt$$2rdacontent
000752849 337__ $$acomputer$$bc$$2rdamedia
000752849 338__ $$aonline resource$$bcr$$2rdacarrier
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000752849 500__ $$aIncludes index.
000752849 5050_ $$aWelcome to Riemannian Computing in Computer Vision -- Recursive Computation of the Fŕechet Mean on Non-Positively Curved Riemannian Manifolds with Applications -- Kernels on Riemannian Manifolds -- Canonical Correlation Analysis on SPD(n) manifolds -- Probabilistic Geodesic Models for Regression and Dimensionality Reduction on Riemannian Manifolds -- Robust Estimation for Computer Vision using Grassmann Manifolds -- Motion Averaging in 3D Reconstruction Problems -- Lie-Theoretic Multi-Robot Localization -- CovarianceWeighted Procrustes Analysis -- Elastic Shape Analysis of Functions, Curves and Trajectories -- Why Use Sobolev Metrics on the Space of Curves -- Elastic Shape Analysis of Surfaces and Images -- Designing a Boosted Classifier on Riemannian Manifolds -- A General Least Squares Regression Framework on Matrix Manifolds for Computer Vision -- Domain Adaptation Using the Grassmann Manifold -- Coordinate Coding on the Riemannian Manifold of Symmetric Positive Definite Matrices for Image Classification -- Summarization and Search over Geometric Spaces.
000752849 506__ $$aAccess limited to authorized users.
000752849 520__ $$aThis book presents a comprehensive treatise on Riemannian geometric computations and related statistical inferences in several computer vision problems. This edited volume includes chapter contributions from leading figures in the field of computer vision who are applying Riemannian geometric approaches in problems such as face recognition, activity recognition, object detection, biomedical image analysis, and structure-from-motion. Some of the mathematical entities that necessitate a geometric analysis include rotation matrices (e.g. in modeling camera motion), stick figures (e.g. for activity recognition), subspace comparisons (e.g. in face recognition), symmetric positive-definite matrices (e.g. in diffusion tensor imaging), and function-spaces (e.g. in studying shapes of closed contours). · Illustrates Riemannian computing theory on applications in computer vision, machine learning, and robotics · Emphasis on algorithmic advances that will allow re-application in other contexts · Written by leading researchers in computer vision and Riemannian computing, from universities and industry.
000752849 650_0 $$aComputer vision$$xMathematics.
000752849 650_0 $$aEngineering.
000752849 650_0 $$aImage processing.
000752849 650_0 $$aEngineering mathematics.
000752849 7001_ $$aTuraga, Pavan K.$$eeditor.
000752849 7001_ $$aSrivastava, Anuj.$$eeditor.
000752849 77608 $$iPrint version:$$z9783319229560
000752849 852__ $$bebk
000752849 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-22957-7$$zOnline Access$$91397441.1
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