Statistical Shape Analysis

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Statistical Shape Analysis

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Author : Ian L. Dryden
language : en
Publisher: John Wiley & Sons
Release Date : 2016-06-28

Statistical Shape Analysis written by Ian L. Dryden and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-28 with Mathematics categories.

A thoroughly revised and updated edition of this introduction to modern statistical methods for shape analysis Shape analysis is an important tool in the many disciplines where objects are compared using geometrical features. Examples include comparing brain shape in schizophrenia; investigating protein molecules in bioinformatics; and describing growth of organisms in biology. This book is a significant update of the highly-regarded Statistical Shape Analysis by the same authors. The new edition lays the foundations of landmark shape analysis, including geometrical concepts and statistical techniques, and extends to include analysis of curves, surfaces, images and other types of object data. Key definitions and concepts are discussed throughout, and the relative merits of different approaches are presented. The authors have included substantial new material on recent statistical developments and offer numerous examples throughout the text. Concepts are introduced in an accessible manner, while retaining sufficient detail for more specialist statisticians to appreciate the challenges and opportunities of this new field. Computer code has been included for instructional use, along with exercises to enable readers to implement the applications themselves in R and to follow the key ideas by hands-on analysis. Offers a detailed yet accessible treatment of statistical methods for shape analysis Includes numerous examples and applications from many disciplines Provides R code for implementing the examples Covers a wide variety of recent developments in shape analysis Shape Analysis, with Applications in R will offer a valuable introduction to this fast-moving research area for statisticians and other applied scientists working in diverse areas, including archaeology, bioinformatics, biology, chemistry, computer science, medicine, morphometics and image analysis.

Statistical Shape And Deformation Analysis

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Author : Guoyan Zheng
language : en
Publisher: Academic Press
Release Date : 2017-03-23

Statistical Shape And Deformation Analysis written by Guoyan Zheng and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-23 with Computers categories.

Statistical Shape and Deformation Analysis: Methods, Implementation and Applications contributes enormously to solving different problems in patient care and physical anthropology, ranging from improved automatic registration and segmentation in medical image computing to the study of genetics, evolution and comparative form in physical anthropology and biology. This book gives a clear description of the concepts, methods, algorithms and techniques developed over the last three decades that is followed by examples of their implementation using open source software. Applications of statistical shape and deformation analysis are given for a wide variety of fields, including biometry, anthropology, medical image analysis and clinical practice. - Presents an accessible introduction to the basic concepts, methods, algorithms and techniques in statistical shape and deformation analysis - Includes implementation examples using open source software - Covers real-life applications of statistical shape and deformation analysis methods

Statistical Shape Analysis

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Author : Ian L. Dryden
language : en
Publisher: Wiley-Blackwell
Release Date : 1998-09-16

Statistical Shape Analysis written by Ian L. Dryden and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-16 with Mathematics categories.

Thos book involves methods for the geometrical study of random objects where location, rotation and scale information.

Statistics And Analysis Of Shapes

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Author : Hamid Krim
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31

Statistics And Analysis Of Shapes written by Hamid Krim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.

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 also used in statistics, biomedical applications (Magnetic Resonance Imaging), and many other related disciplines. With contributions from some of the leading experts and pioneers in the field, this self-contained, unified volume is the first comprehensive treatment of theory, methods, and algorithms available in a single resource. Developments are discussed from a rapidly increasing number of research papers in diverse fields, including the mathematical and physical sciences, engineering, and medicine.

Permutation Tests In Shape Analysis

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Author : LUIGI SALMASO
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-06

Permutation Tests In Shape Analysis written by LUIGI SALMASO and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-06 with Mathematics categories.

Statistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shapes, normal and pathological bone shapes, etc. Some of the important aspects of shape analysis are to obtain a measure of distance between shapes, to estimate average shapes from a (possibly random) sample and to estimate shape variability in a sample[1]. One of the main methods used is principal component analysis. Specific applications of shape analysis may be found in archaeology, architecture, biology, geography, geology, agriculture, genetics, medical imaging, security applications such as face recognition, entertainment industry (movies, games), computer-aided design and manufacturing. This is a proposal for a new Brief on statistical shape analysis and the various new parametric and non-parametric methods utilized to facilitate shape analysis. ​ ​

The Statistical Theory Of Shape

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Author : Christopher G. Small
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Statistical Theory Of Shape written by Christopher G. Small and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure ment error. In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in interest in the statis tical theory of shape. This has been the result of a synthesis of a number of different areas and a recognition that there is considerable common ground among these areas in their study of shape variation. Despite this synthesis of disciplines, there are several different schools of statistical shape analysis. One of these, the Kendall school of shape analysis, uses a variety of mathe matical tools from differential geometry and probability, and is the subject of this book. The book does not assume a particularly strong background by the reader in these subjects, and so a brief introduction is provided to each of these topics. Anyone who is unfamiliar with this material is advised to consult a more complete reference. As the literature on these subjects is vast, the introductory sections can be used as a brief guide to the literature.

Statistical Shape Analysis Of Facial Motions

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Author : Kirsten T. Namesnik
language : en
Publisher:
Release Date : 2000

Statistical Shape Analysis Of Facial Motions written by Kirsten T. Namesnik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Statistical Shape Analysis For Bio Structures

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Author : Daniel Alejandro Valdés Amaro
language : en
Publisher:
Release Date : 2009

Statistical Shape Analysis For Bio Structures written by Daniel Alejandro Valdés Amaro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.

A Probabilistic Framework For Point Based Shape Modeling In Medical Image Analysis

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Author : Heike Hufnagel
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-23

A Probabilistic Framework For Point Based Shape Modeling In Medical Image Analysis written by Heike Hufnagel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-23 with Technology & Engineering categories.

Heike Hufnagel develops a mathematically sound statistical shape model. Due to the particular attributes of the model, the challenging integration of explicit and implicit representations can be performed in an elegant mathematical formulation, thus combining the advantages of both explicit model and implicit segmentation method.

From Global To Local Statistical Shape Priors

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Author : Carsten Last
language : en
Publisher: Springer
Release Date : 2017-03-14

From Global To Local Statistical Shape Priors written by Carsten Last and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-14 with Technology & Engineering categories.

This book proposes a new approach to handle the problem of limited training data. Common approaches to cope with this problem are to model the shape variability independently across predefined segments or to allow artificial shape variations that cannot be explained through the training data, both of which have their drawbacks. The approach presented uses a local shape prior in each element of the underlying data domain and couples all local shape priors via smoothness constraints. The book provides a sound mathematical foundation in order to embed this new shape prior formulation into the well-known variational image segmentation framework. The new segmentation approach so obtained allows accurate reconstruction of even complex object classes with only a few training shapes at hand.