Riemannian Geometric Statistics in Medical Image Analysis

Over the past 15 years, there has been a growing need in the medical image computing community for principled methods to process nonlinear geometric data. Riemannian geometry has emerged as one of the most powerful mathematical and computational frameworks for analyzing such data. Riemannian Geometr...

Full description

Bibliographic Details
Main Author: Pennec, Xavier
Other Authors: Sommer, Stefan, Fletcher, Tom
Format: eBook
Language:English
Published: San Diego Academic Press 2020
Subjects:
Online Access:
Collection: O'Reilly - Collection details see MPG.ReNa
LEADER 03235nmm a2200361 u 4500
001 EB001943274
003 EBX01000000000000001106176
005 00000000000000.0
007 cr|||||||||||||||||||||
008 210123 ||| eng
020 |a 0128147253 
020 |a 9780128147252 
020 |a 9780128147269 
020 |a 0128147261 
050 4 |a RC78.7.D53 
100 1 |a Pennec, Xavier 
245 0 0 |a Riemannian Geometric Statistics in Medical Image Analysis  |c edited by Xavier Pennec, Stefan Sommer and Tom Fletcher 
260 |a San Diego  |b Academic Press  |c 2020 
300 |a 636 pages 
653 |a Imagerie pour le diagnostic / Méthodes statistiques 
653 |a Diagnostic imaging / Statistical methods / fast 
653 |a Diagnostic imaging / Statistical methods 
700 1 |a Sommer, Stefan 
700 1 |a Fletcher, Tom 
041 0 7 |a eng  |2 ISO 639-2 
989 |b OREILLY  |a O'Reilly 
776 |z 9780128147252 
776 |z 9780128147269 
856 4 0 |u https://learning.oreilly.com/library/view/~/9780128147269/?ar  |x Verlag  |3 Volltext 
082 0 |a 616.07/54 
520 |a Over the past 15 years, there has been a growing need in the medical image computing community for principled methods to process nonlinear geometric data. Riemannian geometry has emerged as one of the most powerful mathematical and computational frameworks for analyzing such data. Riemannian Geometric Statistics in Medical Image Analysis is a complete reference on statistics on Riemannian manifolds and more general nonlinear spaces with applications in medical image analysis. It provides an introduction to the core methodology followed by a presentation of state-of-the-art methods. Beyond medical image computing, the methods described in this book may also apply to other domains such as signal processing, computer vision, geometric deep learning, and other domains where statistics on geometric features appear. As such, the presented core methodology takes its place in the field of geometric statistics, the statistical analysis of data being elements of nonlinear geometric spaces.  
520 |a A complete reference covering both the foundations and state-of-the-art methods Edited and authored by leading researchers in the field Contains theory, examples, applications, and algorithms Gives an overview of current research challenges and future applications 
520 |a The foundational material and the advanced techniques presented in the later parts of the book can be useful in domains outside medical imaging and present important applications of geometric statistics methodology Content includes: The foundations of Riemannian geometric methods for statistics on manifolds with emphasis on concepts rather than on proofs Applications of statistics on manifolds and shape spaces in medical image computing Diffeomorphic deformations and their applications As the methods described apply to domains such as signal processing (radar signal processing and brain computer interaction), computer vision (object and face recognition), and other domains where statistics of geometric features appear, this book is suitable for researchers and graduate students in medical imaging, engineering and computer science.