Biological Shape Analysis With Geometric Statistics And Learning

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Geometric Morphometrics for Biologists

Author : Miriam Zelditch
Publisher : Academic Press
ISBN 13 : 0123869048
Total Pages : 489 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Geometric Morphometrics for Biologists by : Miriam Zelditch

Download or read book Geometric Morphometrics for Biologists written by Miriam Zelditch and published by Academic Press. This book was released on 2012-09-24 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Geometric Morphometrics for Biologists has been the primary resource for teaching modern geometric methods of shape analysis to biologists who have a stronger background in biology than in multivariate statistics and matrix algebra. These geometric methods are appealing to biologists who approach the study of shape from a variety of perspectives, from clinical to evolutionary, because they incorporate the geometry of organisms throughout the data analysis. The second edition of this book retains the emphasis on accessible explanations, and the copious illustrations and examples of the first, updating the treatment of both theory and practice. The second edition represents the current state-of-the-art and adds new examples and summarizes recent literature, as well as provides an overview of new software and step-by-step guidance through details of carrying out the analyses. - Contains updated coverage of methods, especially for sampling complex curves and 3D forms and a new chapter on applications of geometric morphometrics to forensics - Offers a reorganization of chapters to streamline learning basic concepts - Presents detailed instructions for conducting analyses with freely available, easy to use software - Provides numerous illustrations, including graphical presentations of important theoretical concepts and demonstrations of alternative approaches to presenting results

Biological Shape Analysis - Proceedings Of The 4th International Symposium

Author : Pete E Lestrel
Publisher : World Scientific
ISBN 13 : 9813225718
Total Pages : 457 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Biological Shape Analysis - Proceedings Of The 4th International Symposium by : Pete E Lestrel

Download or read book Biological Shape Analysis - Proceedings Of The 4th International Symposium written by Pete E Lestrel and published by World Scientific. This book was released on 2017-04-27 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents an ongoing series entitled Biological Shape Analysis, of which this is the 4th Edition. These proceedings represent state-of-the-art research in the field of biology, broadly-based, that deal with the quantitative analysis of the shape of the biological form. These numerical analyses include Fourier analytic methods, wavelets, neural networks, machine vision, machine learning, median axis transforms, spectral clustering, genome-wide association studies, 3D surface mapping, as well as more traditional morphometric approaches. Studies included are drawn from research in agricultural genetics, anatomy, anthropology, botany, dentistry, entomology, forensics, human evolution, paleontology, primatology, to name a few.The shape of forms can be considered of central importance in terms of identification, comparison, and classification of biological organisms. These proceedings, of which this is the fourth one, are unique in that they deal extensively with a wide range of organisms in biology, including both fauna and flora. They bring together diverse practitioners from a wide variety of disciplines. This represents a major departure from the current emphasis on specialization in the biological sciences. It is of particular importance to note that these issues dealing with shape analysis of biological structures are found to be common across very diverse disciplines and these proceedings are the first ones to highlight this.There are no volumes currently available that are as broadly-based as these proceedings in dealing with the quantification of shape analysis. (1) These volumes are unique in their diversity in covering the biological disciplines; (2) The emphasis on numerical approaches; and (3) the numerous state-of-the-art research papers.

Functional and Shape Data Analysis

Author : Anuj Srivastava
Publisher : Springer
ISBN 13 : 1493940201
Total Pages : 454 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Functional and Shape Data Analysis by : Anuj Srivastava

Download or read book Functional and Shape Data Analysis written by Anuj Srivastava and published by Springer. This book was released on 2016-10-03 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Shape Analysis

Author : Ian L. Dryden
Publisher : John Wiley & Sons
ISBN 13 : 1119072506
Total Pages : 496 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Statistical Shape Analysis by : Ian L. Dryden

Download or read book Statistical Shape Analysis written by Ian L. Dryden and published by John Wiley & Sons. This book was released on 2016-06-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 .

Biological Shape Analysis

Author : Pete E. Lestrel
Publisher : World Scientific
ISBN 13 : 9814355240
Total Pages : 324 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Biological Shape Analysis by : Pete E. Lestrel

Download or read book Biological Shape Analysis written by Pete E. Lestrel and published by World Scientific. This book was released on 2011 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings describe the current state of research dealing with biological shape analysis. The quantitative analysis of the shape of biological organisms represents a challenge that has now seen breakthroughs with new methodologies such as elliptical Fourier analysis, quantitative trait loci analysis (QTLs), chromosome segment substitution lines (CSSLs), thin plate splines, etc. The Proceedings also illustrate the diversity of disciplines that are actively involved in the characterization and analysis of biological shape. Moreover, many of the papers focus on the relationship of the shape to the processes that determine the biological form, an issue of major continuing concern in biology.

Biological Shape Analysis - Proceedings Of The 1st International Symposium

Author : Pete E Lestrel
Publisher : World Scientific
ISBN 13 : 9814458627
Total Pages : 324 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Biological Shape Analysis - Proceedings Of The 1st International Symposium by : Pete E Lestrel

Download or read book Biological Shape Analysis - Proceedings Of The 1st International Symposium written by Pete E Lestrel and published by World Scientific. This book was released on 2011-06-20 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings describe the current state of research dealing with biological shape analysis. The quantitative analysis of the shape of biological organisms represents a challenge that has now seen breakthroughs with new methodologies such as elliptical Fourier analysis, quantitative trait loci analysis (QTLs), chromosome segment substitution lines (CSSLs), thin plate splines, etc. The Proceedings also illustrate the diversity of disciplines that are actively involved in the characterization and analysis of biological shape. Moreover, many of the papers focus on the relationship of the shape to the processes that determine the biological form, an issue of major continuing concern in biology.

Biological Shape Analysis - Proceedings Of The 3rd International Symposium

Author : Pete E Lestrel
Publisher : World Scientific
ISBN 13 : 9814704202
Total Pages : 324 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Biological Shape Analysis - Proceedings Of The 3rd International Symposium by : Pete E Lestrel

Download or read book Biological Shape Analysis - Proceedings Of The 3rd International Symposium written by Pete E Lestrel and published by World Scientific. This book was released on 2015-06-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings were designed to bring together researchers who share a common interest in the quantitative description of the biological form. Participants came from very diverse disciplines such as agricultural genetics, botany, entomology, forensics, human anatomy, paleontology, human evolution, primatology, dentistry, etc. The participants applied various methodological approaches that are being increasingly used to describe aspects of the biological form. These techniques include neural networks, Fourier descriptors, shape mapping, genome-wide association studies (GWAS), Riemann curves, surface mapping, etc. A number of the contributions in the proceedings represent state of the art research that reflects advances in that discipline.

Riemannian Geometric Statistics in Medical Image Analysis

Author : Xavier Pennec
Publisher : Academic Press
ISBN 13 : 0128147261
Total Pages : 636 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Riemannian Geometric Statistics in Medical Image Analysis by : Xavier Pennec

Download or read book Riemannian Geometric Statistics in Medical Image Analysis written by Xavier Pennec and published by Academic Press. This book was released on 2019-09-02 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geometric Morphometrics for Biologists

Author : Miriam Zelditch
Publisher : Academic Press
ISBN 13 : 012386903X
Total Pages : 490 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Geometric Morphometrics for Biologists by : Miriam Zelditch

Download or read book Geometric Morphometrics for Biologists written by Miriam Zelditch and published by Academic Press. This book was released on 2012-08-02 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Geometric Morphometrics for Biologists has been the primary resource for teaching modern geometric methods of shape analysis to biologists who have a stronger background in biology than in multivariate statistics and matrix algebra. These geometric methods are appealing to biologists who approach the study of shape from a variety of perspectives, from clinical to evolutionary, because they incorporate the geometry of organisms throughout the data analysis. The second edition of this book retains the emphasis on accessible explanations, and the copious illustrations and examples of the first, updating the treatment of both theory and practice. The second edition represents the current state-of-the-art and adds new examples and summarizes recent literature, as well as provides an overview of new software and step-by-step guidance through details of carrying out the analyses. Contains updated coverage of methods, especially for sampling complex curves and 3D forms and a new chapter on applications of geometric morphometrics to forensics Offers a reorganization of chapters to streamline learning basic concepts Presents detailed instructions for conducting analyses with freely available, easy to use software Provides numerous illustrations, including graphical presentations of important theoretical concepts and demonstrations of alternative approaches to presenting results

Shape

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 1984879065
Total Pages : 481 pages
Book Rating : 4.9/5 (848 download)

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Book Synopsis Shape by : Jordan Ellenberg

Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Shape Analysis and Classification

Author : Luciano da Fontoura Costa
Publisher : CRC Press
ISBN 13 : 9781420037555
Total Pages : 688 pages
Book Rating : 4.0/5 (375 download)

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Book Synopsis Shape Analysis and Classification by : Luciano da Fontoura Costa

Download or read book Shape Analysis and Classification written by Luciano da Fontoura Costa and published by CRC Press. This book was released on 2010-12-12 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in shape analysis impact a wide range of disciplines, from mathematics and engineering to medicine, archeology, and art. Anyone just entering the field, however, may find the few existing books on shape analysis too specific or advanced, and for students interested in the specific problem of shape recognition and characterization, traditio

Biological Shape Analysis - Proceedings Of The 2nd International Symposium

Author : Pete E Lestrel
Publisher : World Scientific
ISBN 13 : 9814518425
Total Pages : 238 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Biological Shape Analysis - Proceedings Of The 2nd International Symposium by : Pete E Lestrel

Download or read book Biological Shape Analysis - Proceedings Of The 2nd International Symposium written by Pete E Lestrel and published by World Scientific. This book was released on 2013-06-04 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume describes the current state of research dealing with biological shape analysis. The quantitative analysis of the shape of biological organisms represents a challenge that has now seen breakthroughs with new methodologies such as elliptical Fourier analysis, quantitative trait loci analysis (QTLs), thin plate splines, etc. The volume also illustrates the diversity of disciplines that are actively involved in the characterization and analysis of the biological shape. Some of the papers deal with the need to relate the underlying genome responsible for the actual observed characteristics of form. Moreover, many of the papers focus on the relationship of the shape to the processes that determine the biological form, an issue of major continuing concern in biology.This volume brings together for the second time practitioners from a variety of disciplines who have been concerned with the necessity of applying new methods to the analysis of biological shape. Previous methodologies based on the conventional metrical approach (distances, angles and ratios), have not been able to adequately capture — in quantitative terms — the subtleties and complexities of biological form due to its irregularity. This volume represents an initial attempt to quantitatively characterize the biological form in both two- and three-dimensions, as it is actually perceived.There is no volume available that deals with the subject matter of these Proceedings. The papers represent, as in the first proceedings, a unique look at: (1) new methodologies developed and used quantitatively describe the biological form; (2) the need to relate the observed biological shape to the underlying processes that determine the shape; and (3) the tremendous diversity of disciplines actively involved in the characterization and analysis of biological shapes. These range from physical anthropology, anatomy, genetics, botany, entomology, forensics, to applied mathematics, etc.

Handbook of Variational Methods for Nonlinear Geometric Data

Author : Philipp Grohs
Publisher : Springer Nature
ISBN 13 : 3030313514
Total Pages : 703 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Handbook of Variational Methods for Nonlinear Geometric Data by : Philipp Grohs

Download or read book Handbook of Variational Methods for Nonlinear Geometric Data written by Philipp Grohs and published by Springer Nature. This book was released on 2020-04-03 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers different, current research directions in the context of variational methods for non-linear geometric data. Each chapter is authored by leading experts in the respective discipline and provides an introduction, an overview and a description of the current state of the art. Non-linear geometric data arises in various applications in science and engineering. Examples of nonlinear data spaces are diverse and include, for instance, nonlinear spaces of matrices, spaces of curves, shapes as well as manifolds of probability measures. Applications can be found in biology, medicine, product engineering, geography and computer vision for instance. Variational methods on the other hand have evolved to being amongst the most powerful tools for applied mathematics. They involve techniques from various branches of mathematics such as statistics, modeling, optimization, numerical mathematics and analysis. The vast majority of research on variational methods, however, is focused on data in linear spaces. Variational methods for non-linear data is currently an emerging research topic. As a result, and since such methods involve various branches of mathematics, there is a plethora of different, recent approaches dealing with different aspects of variational methods for nonlinear geometric data. Research results are rather scattered and appear in journals of different mathematical communities. The main purpose of the book is to account for that by providing, for the first time, a comprehensive collection of different research directions and existing approaches in this context. It is organized in a way that leading researchers from the different fields provide an introductory overview of recent research directions in their respective discipline. As such, the book is a unique reference work for both newcomers in the field of variational methods for non-linear geometric data, as well as for established experts that aim at to exploit new research directions or collaborations. Chapter 9 of this book is available open access under a CC BY 4.0 license at link.springer.com.

Spectral Geometry of Shapes

Author : Jing Hua
Publisher : Academic Press
ISBN 13 : 0128138424
Total Pages : 152 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Spectral Geometry of Shapes by : Jing Hua

Download or read book Spectral Geometry of Shapes written by Jing Hua and published by Academic Press. This book was released on 2019-10-26 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource.

Geometric Structures of Statistical Physics, Information Geometry, and Learning

Author : Frédéric Barbaresco
Publisher : Springer Nature
ISBN 13 : 3030779572
Total Pages : 466 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Geometric Structures of Statistical Physics, Information Geometry, and Learning by : Frédéric Barbaresco

Download or read book Geometric Structures of Statistical Physics, Information Geometry, and Learning written by Frédéric Barbaresco and published by Springer Nature. This book was released on 2021-06-27 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual basis of AI. During the last fifty years, statistical physics has been investigated through new geometric structures allowing covariant formalization of the thermodynamics. Inference methods in machine learning have begun to adapt these new geometric structures to process data in more abstract representation spaces. This volume collects selected contributions on the interplay of statistical physics and artificial intelligence. The aim is to provide a constructive dialogue around a common foundation to allow the establishment of new principles and laws governing these two disciplines in a unified manner. The contributions were presented at the workshop on the Joint Structures and Common Foundation of Statistical Physics, Information Geometry and Inference for Learning which was held in Les Houches in July 2020. The various theoretical approaches are discussed in the context of potential applications in cognitive systems, machine learning, signal processing.

Morphometric Tools for Landmark Data

Author : Fred L. Bookstein
Publisher : Cambridge University Press
ISBN 13 : 0521383854
Total Pages : 459 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Morphometric Tools for Landmark Data by : Fred L. Bookstein

Download or read book Morphometric Tools for Landmark Data written by Fred L. Bookstein and published by Cambridge University Press. This book was released on 1991 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first systematic survey of the subject combines multivariate statistical analysis, geometry, and biomathematics.

Random Discrete Structures

Author : David Aldous
Publisher : Springer Science & Business Media
ISBN 13 : 1461207193
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Random Discrete Structures by : David Aldous

Download or read book Random Discrete Structures written by David Aldous and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.