Riemannian Geometric Statistics in Medical Image Analysis

图书简介

Riemannian Geometric Statistics in Medical Image Analysis provides a comprehensive foundation on the topic that is followed by state-of-the-art methods. Content includes Riemannian geometric computing methods for statistics on manifolds that emphasize concepts rather than proofs, applications of statistics on manifolds and shape spaces in medical image computing, and dieomorphic deformations and their applications. The book is suitable for researchers, graduate students, electronic engineers and computer scientists as the methods described also apply to signal processing (radar and brain computer interaction), computer vision (object and face recognition), and other domains where statistics of geometric features appear.

Part 1: Foundations of Geometric Statistics 1. Riemannian geometry 2. Statistics on manifolds 3. Manifold valued-image processing with SPD matrices 4. Riemannian Geometry on Shapes and Diffeomorphisms 5. Beyond Riemannian: the affine connection setting and SVFs Part 2: Statistics on Manifolds and Shape Spaces 6. Inductive Frechet Mean Computation on S(n) and SO(n) with Applications 7. Statistics in stratified spaces. 8. Bias in quotient space and its correction 9. Stochastic Processes and Transition Distributions on Manifolds 10. Elastic Shape Analysis, Square-Root Representations and Their Inverses Part 3: Deformations, Diffeomorphisms and their Applications 11. Geometric RKHS models for handling curves and surfaces in Computational Anatomy: Currents, varifolds, f-shapes, normal cycles 12. A Discretize-Optimize Approach for LDDMM Registration 13. Spatially varying metrics in the LDDMM framework 14. Low-dimensional Shape Analysis In the Space of Diffeomorphisms 15. Object Shape Representation via Skeletal Models (s-reps) and Statistical Analysis’ 16. Diffeomorphic density matching

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Riemannian Geometric Statistics in Medical Image Analysis 医学图像分析中的黎曼几何统计 计算机科学技术基础学科

Riemannian Geometric Statistics in Medical Image Analysis

医学图像分析中的黎曼几何统计
计算机科学技术基础学科