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Riemannian Geometric Statistics In Medical Image Analysis

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Riemannian Geometric Statistics in Medical Image Analysis

Riemannian Geometric Statistics in Medical Image Analysis Book
Author : Xavier Pennec,Stefan Sommer,Tom Fletcher
Publisher : Academic Press
Release : 2019-09-02
ISBN : 0128147261
Language : En, Es, Fr & De

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Book Description :

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. 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. 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

Shape in Medical Imaging

Shape in Medical Imaging Book
Author : Martin Reuter
Publisher : Springer Nature
Release : 2021-05-14
ISBN : 303061056X
Language : En, Es, Fr & De

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Book Description :

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Dissertation Abstracts International

Dissertation Abstracts International Book
Author : Anonim
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Information Processing in Medical Imaging

Information Processing in Medical Imaging Book
Author : Marc Niethammer,Martin Styner,Stephen Aylward,Hongtu Zhu,Ipek Oguz,Pew-Thian Yap,Dinggang Shen
Publisher : Springer
Release : 2017-06-06
ISBN : 3319590502
Language : En, Es, Fr & De

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Book Description :

This book constitutes the proceedings of the 25th International Conference on Information Processing in Medical Imaging, IPMI 2017, held at the Appalachian State University, Boon, NC, USA, in June 2017. The 53 full papers presented in this volume were carefully reviewed and selected from 147 submissions. They were organized in topical sections named: analysis on manifolds; shape analysis; disease diagnosis/progression; brain networks an connectivity; diffusion imaging; quantitative imaging; imaging genomics; image registration; segmentation; general image analysis.

Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis

Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis Book
Author : Anonim
Publisher : IEEE Computer Society
Release : 1996
ISBN : 9780818673672
Language : En, Es, Fr & De

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Book Description :

Thirty-two June 1996 biomedical image workshop papers developing clever computational methods based on geometry, algebra, functional analysis, partial differential equations, optimization and graph theory. Within this mathematical framework the contributors address new and old topics in medical imag

Medical Image Computing and Computer assisted Intervention

Medical Image Computing and Computer assisted Intervention Book
Author : Anonim
Publisher : Unknown
Release : 1998
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Medical Imaging

Medical Imaging Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Medical Image Computing and Computer Assisted Intervention MICCAI 2008

Medical Image Computing and Computer Assisted Intervention   MICCAI 2008 Book
Author : Dimitris Metaxas,Leon Axel,Gabor Fichtinger,Gabor Szekely
Publisher : Springer Science & Business Media
Release : 2008-09-04
ISBN : 354085987X
Language : En, Es, Fr & De

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Book Description :

The two-volume set LNCS 5241 and LNCS 5242 constitute the refereed proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2008, held in New York, NY, USA, in September 2008. The program committee carefully selected 258 revised papers from numerous submissions for presentation in two volumes, based on rigorous peer reviews. The first volume includes 127 papers related to medical image computing, segmentation, shape and statistics analysis, modeling, motion tracking and compensation, as well as registration. The second volume contains 131 contributions related to robotics and interventions, statistical analysis, segmentation, intervention, modeling, and registration.

Elastic Shape Analysis of Three Dimensional Objects

Elastic Shape Analysis of Three Dimensional Objects Book
Author : Ian H. Jermyn,Sebastian Kurtek,Hamid Laga,Anuj Srivastava
Publisher : Morgan & Claypool Publishers
Release : 2017-09-15
ISBN : 1681730286
Language : En, Es, Fr & De

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Book Description :

Statistical analysis of shapes of 3D objects is an important problem with a wide range of applications. This analysis is difficult for many reasons, including the fact that objects differ in both geometry and topology. In this manuscript, we narrow the problem by focusing on objects with fixed topology, say objects that are diffeomorphic to unit spheres, and develop tools for analyzing their geometries. The main challenges in this problem are to register points across objects and to perform analysis while being invariant to certain shape-preserving transformations. We develop a comprehensive framework for analyzing shapes of spherical objects, i.e., objects that are embeddings of a unit sphere in R, including tools for: quantifying shape differences, optimally deforming shapes into each other, summarizing shape samples, extracting principal modes of shape variability, and modeling shape variability associated with populations. An important strength of this framework is that it is elastic: it performs alignment, registration, and comparison in a single unified framework, while being invariant to shape-preserving transformations. The approach is essentially Riemannian in the following sense. We specify natural mathematical representations of surfaces of interest, and impose Riemannian metrics that are invariant to the actions of the shape-preserving transformations. In particular, they are invariant to reparameterizations of surfaces. While these metrics are too complicated to allow broad usage in practical applications, we introduce a novel representation, termed square-root normal fields (SRNFs), that transform a particular invariant elastic metric into the standard L2 metric. As a result, one can use standard techniques from functional data analysis for registering, comparing, and summarizing shapes. Specifically, this results in: pairwise registration of surfaces; computation of geodesic paths encoding optimal deformations; computation of Karcher means and covariances under the shape metric; tangent Principal Component Analysis (PCA) and extraction of dominant modes of variability; and finally, modeling of shape variability using wrapped normal densities. These ideas are demonstrated using two case studies: the analysis of surfaces denoting human bodies in terms of shape and pose variability; and the clustering and classification of the shapes of subcortical brain structures for use in medical diagnosis. This book develops these ideas without assuming advanced knowledge in differential geometry and statistics. We summarize some basic tools from differential geometry in the appendices, and introduce additional concepts and terminology as needed in the individual chapters.

Proceedings

Proceedings Book
Author : Anonim
Publisher : Unknown
Release : 2003
ISBN : 9780769519500
Language : En, Es, Fr & De

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Medical Image Computing and Computer Assisted Intervention MICCAI 2008

Medical Image Computing and Computer Assisted Intervention   MICCAI 2008 Book
Author : Dimitris Metaxas,Leon Axel,Gabor Fichtinger,Gabor Szekely
Publisher : Springer Science & Business Media
Release : 2008-09-04
ISBN : 354085987X
Language : En, Es, Fr & De

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Book Description :

The two-volume set LNCS 5241 and LNCS 5242 constitute the refereed proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2008, held in New York, NY, USA, in September 2008. The program committee carefully selected 258 revised papers from numerous submissions for presentation in two volumes, based on rigorous peer reviews. The first volume includes 127 papers related to medical image computing, segmentation, shape and statistics analysis, modeling, motion tracking and compensation, as well as registration. The second volume contains 131 contributions related to robotics and interventions, statistical analysis, segmentation, intervention, modeling, and registration.

Information Processing in Medical Imaging

Information Processing in Medical Imaging Book
Author : Anonim
Publisher : Unknown
Release : 1997
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Proceedings in Print

Proceedings in Print Book
Author : Anonim
Publisher : Unknown
Release : 1997
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Medical Image Computing and Computer Assisted Intervention MICCAI 2016

Medical Image Computing and Computer Assisted Intervention   MICCAI 2016 Book
Author : Sebastien Ourselin,Leo Joskowicz,Mert R. Sabuncu,Gozde Unal,William Wells
Publisher : Springer
Release : 2016-10-17
ISBN : 3319467263
Language : En, Es, Fr & De

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Book Description :

The three-volume set LNCS 9900, 9901, and 9902 constitutes the refereed proceedings of the 19th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2016, held in Athens, Greece, in October 2016. Based on rigorous peer reviews, the program committee carefully selected 228 revised regular papers from 756 submissions for presentation in three volumes. The papers have been organized in the following topical sections: Part I: brain analysis, brain analysis - connectivity; brain analysis - cortical morphology; Alzheimer disease; surgical guidance and tracking; computer aided interventions; ultrasound image analysis; cancer image analysis; Part II: machine learning and feature selection; deep learning in medical imaging; applications of machine learning; segmentation; cell image analysis; Part III: registration and deformation estimation; shape modeling; cardiac and vascular image analysis; image reconstruction; and MR image analysis.

Medical Research Centres

Medical Research Centres Book
Author : Informa Healthcare
Publisher : Unknown
Release : 1995
ISBN : 9781860670176
Language : En, Es, Fr & De

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Book Description :

Focuses on research and development centers in the areas of medical and biomedical sciences including those in anatomy, biochemistry, clinical medicine, dentistry, drugs, genetics, immunology, neoplasms, pharmaceutical technology, and surgery.

Journal of the American Statistical Association

Journal of the American Statistical Association Book
Author : Anonim
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Computer Vision ECCV

Computer Vision   ECCV     Book
Author : Anonim
Publisher : Unknown
Release : 2002
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Vision Geometry

Vision Geometry Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Proceedings

Proceedings Book
Author : Anonim
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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