Statistical Shape Analysis

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Statistical Shape Analysis

Ian L. Dryden,Kanti V. Mardia
Statistical Shape Analysis Book PDF

Author : Ian L. Dryden,Kanti V. Mardia
Publisher : John Wiley & Sons
Page : 496 pages
File Size : 50,9 Mb
Release : 2016-06-28
Category : Mathematics
ISBN : 9781119072508

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Statistical Shape Analysis by Ian L. Dryden,Kanti V. Mardia Pdf

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. Statistical 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 Analysis

Ian L. Dryden,Kanti V. Mardia
Statistical Shape Analysis Book PDF

Author : Ian L. Dryden,Kanti V. Mardia
Publisher : Wiley-Blackwell
Page : 398 pages
File Size : 48,7 Mb
Release : 1998-09-16
Category : Mathematics
ISBN : UOM:39015048515913

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Statistical Shape Analysis by Ian L. Dryden,Kanti V. Mardia Pdf

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

Statistical Shape and Deformation Analysis

Guoyan Zheng,Shuo Li,Gabor Szekely
Statistical Shape and Deformation Analysis Book PDF

Author : Guoyan Zheng,Shuo Li,Gabor Szekely
Publisher : Academic Press
Page : 508 pages
File Size : 42,9 Mb
Release : 2017-03-23
Category : Computers
ISBN : 9780128104941

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Statistical Shape and Deformation Analysis by Guoyan Zheng,Shuo Li,Gabor Szekely Pdf

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

The Statistical Theory of Shape

Christopher G. Small
The Statistical Theory of Shape Book PDF

Author : Christopher G. Small
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240327

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The Statistical Theory of Shape by Christopher G. Small Pdf

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.

Functional and Shape Data Analysis

Anuj Srivastava,Eric P. Klassen
Functional and Shape Data Analysis Book PDF

Author : Anuj Srivastava,Eric P. Klassen
Publisher : Springer
Page : 447 pages
File Size : 50,6 Mb
Release : 2016-10-03
Category : Mathematics
ISBN : 9781493940202

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Functional and Shape Data Analysis by Anuj Srivastava,Eric P. Klassen Pdf

This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad range of ideas covered—from introductory theory to algorithmic implementations and some statistical case studies—is meant to familiarize graduate students with an array of tools that are relevant in developing computational solutions for shape and related analyses. These tools, gleaned from geometry, algebra, statistics, and computational science, are traditionally scattered across different courses, departments, and disciplines; Functional and Shape Data Analysis offers a unified, comprehensive solution by integrating the registration problem into shape analysis, better preparing graduate students for handling future scientific challenges. Recently, a data-driven and application-oriented focus on shape analysis has been trending. This text offers a self-contained treatment of this new generation of methods in shape analysis of curves. Its main focus is shape analysis of functions and curves—in one, two, and higher dimensions—both closed and open. It develops elegant Riemannian frameworks that provide both quantification of shape differences and registration of curves at the same time. Additionally, these methods are used for statistically summarizing given curve data, performing dimension reduction, and modeling observed variability. It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation.

Statistical Models of Shape

Rhodri Davies,Carole Twining,Chris Taylor
Statistical Models of Shape Book PDF

Author : Rhodri Davies,Carole Twining,Chris Taylor
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 51,9 Mb
Release : 2008-12-15
Category : Computers
ISBN : 9781848001381

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Statistical Models of Shape by Rhodri Davies,Carole Twining,Chris Taylor Pdf

The goal of image interpretation is to convert raw image data into me- ingful information. Images are often interpreted manually. In medicine, for example, a radiologist looks at a medical image, interprets it, and tra- lates the data into a clinically useful form. Manual image interpretation is, however, a time-consuming, error-prone, and subjective process that often requires specialist knowledge. Automated methods that promise fast and - jective image interpretation have therefore stirred up much interest and have become a signi?cant area of research activity. Early work on automated interpretation used low-level operations such as edge detection and region growing to label objects in images. These can p- ducereasonableresultsonsimpleimages,butthepresenceofnoise,occlusion, andstructuralcomplexity oftenleadstoerroneouslabelling. Furthermore,- belling an object is often only the ?rst step of the interpretation process. In order to perform higher-level analysis, a priori information must be incor- rated into the interpretation process. A convenient way of achieving this is to use a ?exible model to encode information such as the expected size, shape, appearance, and position of objects in an image. The use of ?exible models was popularized by the active contour model, or ‘snake’ [98]. A snake deforms so as to match image evidence (e.g., edges) whilst ensuring that it satis?es structural constraints. However, a snake lacks speci?city as it has little knowledge of the domain, limiting its value in image interpretation.

Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications

Chiara Brombin,Luigi Salmaso,Lara Fontanella,Luigi Ippoliti,Caterina Fusilli
Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications Book PDF

Author : Chiara Brombin,Luigi Salmaso,Lara Fontanella,Luigi Ippoliti,Caterina Fusilli
Publisher : Springer
Page : 115 pages
File Size : 48,6 Mb
Release : 2016-02-19
Category : Mathematics
ISBN : 3319263102

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Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications by Chiara Brombin,Luigi Salmaso,Lara Fontanella,Luigi Ippoliti,Caterina Fusilli Pdf

This book considers specific inferential issues arising from the analysis of dynamic shapes with the attempt to solve the problems at hand using probability models and nonparametric tests. The models are simple to understand and interpret and provide a useful tool to describe the global dynamics of the landmark configurations. However, because of the non-Euclidean nature of shape spaces, distributions in shape spaces are not straightforward to obtain. The book explores the use of the Gaussian distribution in the configuration space, with similarity transformations integrated out. Specifically, it works with the offset-normal shape distribution as a probability model for statistical inference on a sample of a temporal sequence of landmark configurations. This enables inference for Gaussian processes from configurations onto the shape space. The book is divided in two parts, with the first three chapters covering material on the offset-normal shape distribution, and the remaining chapters covering the theory of NonParametric Combination (NPC) tests. The chapters offer a collection of applications which are bound together by the theme of this book. They refer to the analysis of data from the FG-NET (Face and Gesture Recognition Research Network) database with facial expressions. For these data, it may be desirable to provide a description of the dynamics of the expressions, or testing whether there is a difference between the dynamics of two facial expressions or testing which of the landmarks are more informative in explaining the pattern of an expression.

Shape and Shape Theory

D. G. Kendall,D. Barden,T. K. Carne,H. Le
Shape and Shape Theory Book PDF

Author : D. G. Kendall,D. Barden,T. K. Carne,H. Le
Publisher : John Wiley & Sons
Page : 318 pages
File Size : 48,6 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317846

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Shape and Shape Theory by D. G. Kendall,D. Barden,T. K. Carne,H. Le Pdf

Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer scientists. Mathematically, 'shape' is the geometrical information required to describe an object when location, scale and rotational effects are removed. The theory was pioneered by Professor David Kendall to solve practical problems concerning shape. This text presents an elegant account of the theory of shape that has evolved from Kendall's work. Features include: * A comprehensive account of Kendall's shape spaces * A variety of topological and geometric invariants of these spaces * Emphasis on the mathematical aspects of shape analysis * Coverage of the mathematical issues for a wide range of applications The early chapters provide all the necessary background information, including the history and applications of shape theory. The authors then go on to analyse the topic, in brilliant detail, in a variety of different shape spaces. Kendall's own procedures for visualising distributions of shapes and shape processes are covered at length. Implications from other branches of mathematics are explored, along with more advanced applications, incorporating statistics and stochastic analysis. Applied statisticians, applied mathematicians, engineers and computer scientists working and researching in the fields of archaeology, astronomy, biology, geography and physical chemistry will find this book of great benefit. The theories presented are used today in a wide range of subjects from archaeology through to physics, and will provide fascinating reading to anyone engaged in such research. Visit our web page! http://www.wiley.com/

Computer Vision - ECCV 2008

David Forsyth,Philip Torr,Andrew Zisserman
Computer Vision ECCV 2008 Book PDF

Author : David Forsyth,Philip Torr,Andrew Zisserman
Publisher : Springer Science & Business Media
Page : 911 pages
File Size : 52,5 Mb
Release : 2008-10-07
Category : Computers
ISBN : 9783540886921

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Computer Vision - ECCV 2008 by David Forsyth,Philip Torr,Andrew Zisserman Pdf

The four-volume set comprising LNCS volumes 5302/5303/5304/5305 constitutes the refereed proceedings of the 10th European Conference on Computer Vision, ECCV 2008, held in Marseille, France, in October 2008. The 243 revised papers presented were carefully reviewed and selected from a total of 871 papers submitted. The four books cover the entire range of current issues in computer vision. The papers are organized in topical sections on recognition, stereo, people and face recognition, object tracking, matching, learning and features, MRFs, segmentation, computational photography and active reconstruction.

Statistical Shape Analysis

Ian L. Dryden,Kanti V. Mardia
Statistical Shape Analysis Book PDF

Author : Ian L. Dryden,Kanti V. Mardia
Publisher : John Wiley & Sons
Page : 516 pages
File Size : 44,8 Mb
Release : 2016-09-06
Category : Mathematics
ISBN : 9780470699621

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Statistical Shape Analysis by Ian L. Dryden,Kanti V. Mardia Pdf

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.

Shape in Medical Imaging

Martin Reuter,Christian Wachinger,Hervé Lombaert,Beatriz Paniagua,Orcun Goksel,Islem Rekik
Shape in Medical Imaging Book PDF

Author : Martin Reuter,Christian Wachinger,Hervé Lombaert,Beatriz Paniagua,Orcun Goksel,Islem Rekik
Publisher : Springer Nature
Page : 160 pages
File Size : 49,9 Mb
Release : 2020-10-02
Category : Computers
ISBN : 9783030610562

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Shape in Medical Imaging by Martin Reuter,Christian Wachinger,Hervé Lombaert,Beatriz Paniagua,Orcun Goksel,Islem Rekik Pdf

This book constitutes the proceedings of the International Workshop on Shape in Medical Imaging, ShapeMI 2020, which was held in conjunction with the 23rd International Conference on Medical Image Computing and Computer Assistend Intervention, MICCAI 2020, in October 2020. The conference was planned to take place in Lima, Peru, but changed to a virtual format due to the COVID-19 pandemic. The 12 full papers included in this volume were carefully reviewed and selected from 18 submissions. They were organized in topical sections named: methods; learning; and applications.

Innovations for Shape Analysis

Michael Breuß,Alfred Bruckstein,Petros Maragos
Innovations for Shape Analysis Book PDF

Author : Michael Breuß,Alfred Bruckstein,Petros Maragos
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 50,6 Mb
Release : 2013-04-04
Category : Mathematics
ISBN : 9783642341410

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Innovations for Shape Analysis by Michael Breuß,Alfred Bruckstein,Petros Maragos Pdf

The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe. Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers.

Medical Image Computing and Computer-Assisted Intervention - MICCAI 2002

Takeyoshi Dohi,Ron Kikinis
Medical Image Computing and Computer Assisted Intervention MICCAI 2002 Book PDF

Author : Takeyoshi Dohi,Ron Kikinis
Publisher : Springer Science & Business Media
Page : 722 pages
File Size : 40,5 Mb
Release : 2002-09-13
Category : Computers
ISBN : 9783540442257

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Medical Image Computing and Computer-Assisted Intervention - MICCAI 2002 by Takeyoshi Dohi,Ron Kikinis Pdf

The fifth international Conference in Medical Image Computing and Computer Assisted Intervention (MICCAI 2002) was held in Tokyo from September 25th to 28th, 2002. This was the first time that the conference was held in Asia since its foundation in 1998. The objective of the conference is to offer clinicians and scientists the opportunity to collaboratively create and explore the new medical field. Specifically, MICCAI offers a forum for the discussion of the state of art in computer-assisted interentions, medical robotics, and image processing among experts from multi-disciplinary professions, including but not limited to clinical doctors, computer scientists, and mechanical and biomedical engineers. The expectations of society are very high; the advancement of medicine will depend on computer and device technology in coming decades, as they did in the last decades. We received 321 manuscripts, of which 41 were chosen for oral presentation and 143 for poster presentation. Each paper has been included in these proceedings in eight-page full paper format, without any differentiation between oral and poster papers. Adherence to this full paper format, along with the increased number of manuscripts, surpassing all our expectations, has led us to issue two proceedings volumes for the first time in MICCAI’s history. Keeping to a single volume by assigning fewer pages to each paper was certainly an option for us considering our budget constraints. However, we decided to increase the volume to offer authors maximum opportunity to argue the state of art in their work and to initiate constructive discussions among the MICCAI audience.

Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

Victor Patrangenaru,Leif Ellingson
Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis Book PDF

Author : Victor Patrangenaru,Leif Ellingson
Publisher : CRC Press
Page : 534 pages
File Size : 43,9 Mb
Release : 2015-09-18
Category : Mathematics
ISBN : 9781439820513

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Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis by Victor Patrangenaru,Leif Ellingson Pdf

A New Way of Analyzing Object Data from a Nonparametric ViewpointNonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields

Statistical Analysis of Spherical Data

N. I. Fisher,Toby Lewis,B. J. J. Embleton
Statistical Analysis of Spherical Data Book PDF

Author : N. I. Fisher,Toby Lewis,B. J. J. Embleton
Publisher : Cambridge University Press
Page : 358 pages
File Size : 54,7 Mb
Release : 1993-08-19
Category : Mathematics
ISBN : 0521456991

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Statistical Analysis of Spherical Data by N. I. Fisher,Toby Lewis,B. J. J. Embleton Pdf

This is the first comprehensive, yet clearly presented, account of statistical methods for analysing spherical data. The analysis of data, in the form of directions in space or of positions of points on a spherical surface, is required in many contexts in the earth sciences, astrophysics and other fields, yet the methodology required is disseminated throughout the literature. Statistical Analysis of Spherical Data aims to present a unified and up-to-date account of these methods for practical use. The emphasis is on applications rather than theory, with the statistical methods being illustrated throughout the book by data examples.