Riemannian Geometric Statistics in Medical Image Analysis

Written By Xavier Pennec
Riemannian Geometric Statistics in Medical Image Analysis
  • Publsiher : Academic Press
  • Release : 02 September 2019
  • ISBN : 0128147261
  • Pages : 636 pages
  • Rating : /5 from reviews
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Download or read book entitled Riemannian Geometric Statistics in Medical Image Analysis by author: Xavier Pennec which was release on 02 September 2019 and published by Academic Press with total page 636 pages . This book available in PDF, EPUB and Kindle Format. 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

Riemannian Geometric Statistics in Medical Image Analysis

Riemannian Geometric Statistics in Medical Image Analysis
  • Author : Xavier Pennec,Stefan Sommer,Tom Fletcher
  • Publisher : Academic Press
  • Release Date : 2019-09-02
  • Total pages : 636
  • ISBN : 0128147261
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Summary : 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 ...

Elastic Shape Analysis of Three Dimensional Objects

Elastic Shape Analysis of Three Dimensional Objects
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  • Publisher : Morgan & Claypool Publishers
  • Release Date : 2017-09-15
  • Total pages : 185
  • ISBN : 0128147261
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Summary : 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 ...

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  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 212
  • ISBN : 0128147261
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Summary : Read online Dissertation Abstracts International written by , published by which was released on 2005. Download full Dissertation Abstracts International Books now! Available in PDF, ePub and Kindle....

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Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
  • Author : Anonim
  • Publisher : IEEE Computer Society
  • Release Date : 1996
  • Total pages : 340
  • ISBN : 0128147261
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Summary : 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...

Visualization and Processing of Higher Order Descriptors for Multi Valued Data

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  • Author : Ingrid Hotz,Thomas Schultz
  • Publisher : Springer
  • Release Date : 2015-07-03
  • Total pages : 383
  • ISBN : 0128147261
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Summary : Modern imaging techniques and computational simulations yield complex multi-valued data that require higher-order mathematical descriptors. This book addresses topics of importance when dealing with such data, including frameworks for image processing, visualization and statistical analysis of higher-order descriptors. It also provides examples of the successful use of higher-order descriptors in ...

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  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2007
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Summary : Read online Mathematical Reviews written by , published by which was released on 2007. Download full Mathematical Reviews Books now! Available in PDF, ePub and Kindle....

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  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2004
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  • ISBN : 0128147261
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Summary : Read online Medical Imaging written by , published by which was released on 2004. Download full Medical Imaging Books now! Available in PDF, ePub and Kindle....

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  • Author : M. Jorge Cardoso,Tal Arbel,Enzo Ferrante,Xavier Pennec,Adrian V. Dalca,Sarah Parisot,Sarang Joshi,Nematollah K. Batmanghelich,Aristeidis Sotiras,Mads Nielsen,Mert R. Sabuncu,Tom Fletcher,Li Shen,Stanley Durrleman,Stefan Sommer
  • Publisher : Springer
  • Release Date : 2017-09-06
  • Total pages : 250
  • ISBN : 0128147261
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Summary : This book constitutes the refereed joint proceedings of the First International Workshop on Graphs in Biomedical Image Analysis, GRAIL 2017, the 6th International Workshop on Mathematical Foundations of Computational Anatomy, MFCA 2017, and the Third International Workshop on Imaging Genetics, MICGen 2017, held in conjunction with the 20th International Conference on Medical Imaging ...

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  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1997
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  • ISBN : 0128147261
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Summary : Read online Proceedings in Print written by , published by which was released on 1997. Download full Proceedings in Print Books now! Available in PDF, ePub and Kindle....

Journal of the American Statistical Association

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  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2009
  • Total pages : 212
  • ISBN : 0128147261
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Summary : Read online Journal of the American Statistical Association written by , published by which was released on 2009. Download full Journal of the American Statistical Association Books now! Available in PDF, ePub and Kindle....

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  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 212
  • ISBN : 0128147261
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Summary : Read online Proceedings written by , published by which was released on 2005. Download full Proceedings Books now! Available in PDF, ePub and Kindle....

Estimation of Distance Functions and Geodesics and Its Use for Shape Comparison and Alignment

Estimation of Distance Functions and Geodesics and Its Use for Shape Comparison and Alignment
  • Author : Roberto Facundo Mémoli Techera
  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 278
  • ISBN : 0128147261
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Summary : Read online Estimation of Distance Functions and Geodesics and Its Use for Shape Comparison and Alignment written by Roberto Facundo Mémoli Techera, published by which was released on 2005. Download full Estimation of Distance Functions and Geodesics and Its Use for Shape Comparison and Alignment Books now! Available in PDF, ...

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Statistics and Analysis of Shapes
  • Author : Hamid Krim,Anthony Yezzi
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-12-31
  • Total pages : 396
  • ISBN : 0128147261
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Summary : The subject of pattern analysis and recognition pervades many aspects of our daily lives, including user authentication in banking, object retrieval from databases in the consumer sector, and the omnipresent surveillance and security measures around sensitive areas. Shape analysis, a fundamental building block in many approaches to these applications, is ...

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  • Author : Informa Healthcare
  • Publisher : Unknown
  • Release Date : 1995
  • Total pages : 678
  • ISBN : 0128147261
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Summary : 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....

The University of Virginia Record

The University of Virginia Record
  • Author : University of Virginia
  • Publisher : Unknown
  • Release Date : 2000
  • Total pages : 212
  • ISBN : 0128147261
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Summary : Read online The University of Virginia Record written by University of Virginia, published by which was released on 2000. Download full The University of Virginia Record Books now! Available in PDF, ePub and Kindle....