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An Invariant Approach To Statistical Analysis Of Shapes
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Book Synopsis An Invariant Approach to Statistical Analysis of Shapes by : Subhash R. Lele
Download or read book An Invariant Approach to Statistical Analysis of Shapes written by Subhash R. Lele and published by CRC Press. This book was released on 2001-01-19 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form , defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to suc
Book Synopsis Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications by : Chiara Brombin
Download or read book Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications written by Chiara Brombin and published by Springer. This book was released on 2016-02-11 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 2016-07-08 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 .
Book Synopsis Permutation Tests in Shape Analysis by : LUIGI SALMASO
Download or read book Permutation Tests in Shape Analysis written by LUIGI SALMASO and published by Springer Science & Business Media. This book was released on 2013-09-06 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 .
Book Synopsis An Invariant Approach to Statistical Analysis of Shapes by : Subhash R Lele
Download or read book An Invariant Approach to Statistical Analysis of Shapes written by Subhash R Lele and published by CRC Press. This book was released on 2019-08-30 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form, defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to succeed, it needs techniques that not only satisfy mathematical and statistical rigor but also attend to the scientific issues. An Invariant Approach to the Statistical Analysis of Shapes results from a long and fruitful collaboration between a mathematical statistician and a biologist. Together they have developed a methodology that addresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with respect to the arbitrary choice of the coordinate system. They present the history and foundations of morphometrics, discuss the various kinds of data used in the analysis of form, and provide justification for choosing landmark coordinates as a preferred data type. They describe the statistical models used to represent intra-population variability of landmark data and show that arbitrary translation, rotation, and reflection of the objects introduce infinitely many nuisance parameters. The most fundamental part of morphometrics-comparison of forms-receives in-depth treatment, as does the study of growth and growth patterns, classification, clustering, and asymmetry. Morphometrics has only recently begun to consider the invariance principle and its implications for the study of biological form. With the advantage of dual perspectives, An Invariant Approach to the Statistical Analysis of Shapes stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to an audience of both statisticians and biologists.
Book Synopsis Progress in Geomathematics by : Graeme Bonham-Carter
Download or read book Progress in Geomathematics written by Graeme Bonham-Carter and published by Springer Science & Business Media. This book was released on 2008-09-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating Frits Agterberg’s half-century of publication activity in geomathematics, this volume’s 28 timely papers, written by his friends and colleagues, treat a variety of subjects of current interest, many of them also studied by Frits, including: spatial analysis in mineral resource assessment, quantitative stratigraphy, nonlinear multifractal models, compositional data analysis, time series analysis, image analysis, and geostatistics. Professor Agterberg published his first paper as a graduate student in 1958 and has since produced (and continues to publish) a steady stream of research papers on a wide variety of subjects of interest to geomathematical practitioners. Most of the papers included here address methodology and feature practical case studies, so that the book likely has broad appeal to those interested in mathematical geosciences, both to academic researchers seeking a comprehensive overview and also to practitioners of geomathematical approaches in industry.
Book Synopsis Structural, Syntactic, and Statistical Pattern Recognition by : Dit-Yan Yeung
Download or read book Structural, Syntactic, and Statistical Pattern Recognition written by Dit-Yan Yeung and published by Springer. This book was released on 2006-08-09 with total page 959 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the 11th International Workshop on Structural and Syntactic Pattern Recognition, SSPR 2006 and the 6th International Workshop on Statistical Techniques in Pattern Recognition, SPR 2006, held in Hong Kong, August 2006 alongside the Conference on Pattern Recognition, ICPR 2006. 38 revised full papers and 61 revised poster papers are included, together with 4 invited papers covering image analysis, character recognition, bayesian networks, graph-based methods and more.
Book Synopsis Modern Morphometrics in Physical Anthropology by : Dennis E. Slice
Download or read book Modern Morphometrics in Physical Anthropology written by Dennis E. Slice and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morphometrics has undergone a revolutionary transformation in the past two decades as new methods have been developed to address shortcomings in the traditional multivirate analysis of linear distances, angles, and indices. While there is much active research in the field, the new approaches to shape analysis are already making significant and ever-increasing contributions to biological research, including physical anthropology. Modern Morphometrics in Physical Anthropology highlights the basic machinery of the most important methods, while introducing novel extensions to these methods and illustrating how they provide enhanced results compared to more traditional approaches. Modern Morphometrics in Physical Anthropology provides a comprehensive sampling of the applications of modern, sophisticated methods of shape analysis in anthropology, and serves as a starting point for the exploration of these practices by students and researchers who might otherwise lack the local expertise or training to get started. This text is an important resource for the general morphometric community that includes ecologists, evolutionary biologists, systematists, and medical researchers.
Book Synopsis Morphology of Condensed Matter by : Klaus R. Mecke
Download or read book Morphology of Condensed Matter written by Klaus R. Mecke and published by Springer Science & Business Media. This book was released on 2002-12-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science. A wide spectrum of applications encompasses the flow through porous and composite materials as well as microemulsions and foams. Written as a set of lectures and tutorial reviews leading up to the forefront of research, this book will be both a compendium for the experienced researcher as well as a high level introductory text for postgraduate students and nonspecialist researchers working in related areas.
Book Synopsis Biomedical Visualisation by : Paul M. Rea
Download or read book Biomedical Visualisation written by Paul M. Rea and published by Springer Nature. This book was released on 2019-12-10 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the rapid advances of technology, visualisation in the sciences using computers, is a rapidly expanding and evolving area. Visualisation in its broadest sense represents how objects, situations, applications, methodologies and information can be seen and presented. This proposal is to incorporate work in the field of biomedical visualisation and will encompass techniques of using computers to visualise information. This will include photogrammetry, virtual and augmented reality, 3D printing, e-tutorial and website design and digital reconstructions and animations. It will showcase research, innovations and current work in the field of biomedicine, life sciences, veterinary medicine and computing sciences presenting data in an innovative and engaging way to showcase complex data and information in an easier to access format.
Download or read book Measuring Shape written by F. Brent Neal and published by CRC Press. This book was released on 2017-12-19 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: "John Russ is the master of explaining how image processing gets applied to real-world situations. With Brent Neal, he’s done it again in Measuring Shape, this time explaining an expanded toolbox of techniques that includes useful, state-of-the-art methods that can be applied to the broad problem of understanding, characterizing, and measuring shape. He has a gift for finding the kernel of a particular algorithm, explaining it in simple terms, then giving concrete examples that are easily understood. His perspective comes from solving real-world problems and separating out what works in practice from what is just an abstract curiosity." —Tom Malzbender, Hewlett-Packard Laboratories, Palo Alto, California, USA Useful for those working in fields including industrial quality control, research, and security applications, Measuring Shape is a handbook for the practical application of shape measurement. Covering a wide range of shape measurements likely to be encountered in the literature and in software packages, this book presents an intentionally diverse set of examples that illustrate and enable readers to compare methods used for measurement and quantitative description of 2D and 3D shapes. It stands apart through its focus on examples and applications, which help readers quickly grasp the usefulness of presented techniques without having to approach them through the underlying mathematics. An elusive concept, shape is a principal governing factor in determining the behavior of objects and structures. Essential to recognizing and classifying objects, it is the central link in manmade and natural processes. Shape dictates everything from the stiffness of a construction beam, to the ability of a leaf to catch water, to the marketing and packaging of consumer products. This book emphasizes techniques that are quantitative and produce a meaningful yet compact set of numerical values that can be used for statistical analysis, comparison, correlation, classification, and identification. Written by two renowned authors from both industry and academia, this resource explains why users should select a particular method, rather than simply discussing how to use it. Showcasing each process in a clear, accessible, and well-organized way, they explore why a particular one might be appropriate in a given situation, yet a poor choice in another. Providing extensive examples, plus full mathematical descriptions of the various measurements involved, they detail the advantages and limitations of each method and explain the ways they can be implemented to discover important correlations between shape and object history or behavior. This uncommon assembly of information also includes sets of data on real-world objects that are used to compare the performance and utility of the various presented approaches.
Book Synopsis Statistics and Analysis of Shapes by : Hamid Krim
Download or read book Statistics and Analysis of Shapes written by Hamid Krim and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Case-Based Reasoning by : Peter Funk
Download or read book Advances in Case-Based Reasoning written by Peter Funk and published by Springer. This book was released on 2004-11-16 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th European Conference on Case-Based Reasoning (ECCBR 2004) was held from August 30 through September 2, at the Complutense University of Madrid, Spain. ECCBR was born in Aberdeen, UK (2002), after a series of European workshops held in Trento, Italy(2000), Dublin, Ireland(1998), Lausanne, Switzerland (1996), Paris, France (1994), and Kaiserslautern, Germany (1993). ECCBR is the premier international forum for researchers and practitioners of case-based reasoning (CBR) in the years interleaving with the biennial international counterpart ICCBR, whose 5th edition was held in Trondheim, Norway in 2003. The CBR community has shown for years a deep interest in the application of its research to real-world problems. As a result, the first day of both ECCBR and ICCBR has been traditionally dedicated to presenting industrial CBR complications. ECCBR 2004 Industry Day was co-chaired by Mehmet Göker and Francisco Martín who invited professionals from different fields to describe their fielded CBR systems. The second day of the conference was dedicated to four workshops focusing on the following research interests: CBR in health sciences, explanation in CBR, computational creativity, and CBR applied to time series prediction. We are grateful to the Workshop Program co-chairs, Pablo Gervás and Kalyan Moy Gupta, for their efforts in coordinating these workshops, along with the individual workshop chairs and participants. Materials from the Ind- try Day and the workshops were published separately and can be obtained from the ECCBR 2004 website, http://www. idt. mdh. se/eccbr.
Book Synopsis Clothing for Children and Teenagers by : Norsaadah Zakaria
Download or read book Clothing for Children and Teenagers written by Norsaadah Zakaria and published by Woodhead Publishing. This book was released on 2016-06-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clothing for Children and Teenagers: Anthropometry, Sizing and Fit addresses the complexities of developing size specifications for clothing aimed at seven to seventeen year olds. Children and teenagers experience rapid physical growth and alterations in body shape as they develop—changes that pose significant challenges in creating apparel sizing systems. The book begins by introducing the principles of apparel fit and sizing systems. Drawing on the author's own fieldwork, it goes on to discuss methods of conducting anthropometric surveys in children and teenagers, and techniques for analyzing the resulting data in order to produce successful sizing systems. - Introduces the principles of apparel fit and sizing systems, and discusses methods of conducting anthropometric surveys in children and teenagers - Offers systematic and comprehensive coverage of the complexities associated with clothing for children and teenagers - Reviews techniques in analysis and classification of children and teenagers' body shapes and sizes - Covers the development, designation, and validation of an apparel sizing system for children and teenagers
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
Book Synopsis Structural, Syntactic, and Statistical Pattern Recognition by : Ana Fred
Download or read book Structural, Syntactic, and Statistical Pattern Recognition written by Ana Fred and published by Springer Science & Business Media. This book was released on 2004-07-28 with total page 1187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Workshop on Structural and Syntactic Pattern Recognition, SSPR 2004 and the 5th International Workshop on Statistical Techniques in Pattern Recognition, SPR 2004, held jointly in Lisbon, Portugal, in August 2004. The 59 revised full papers and 64 revised poster papers presented together with 4 invited papers were carefully reviewed and selected from 219 submissions. The papers are organized in topical sections on graphs; visual recognition and detection; contours, lines, and paths; matching and superposition; transduction and translation; image and video analysis; syntactics, languages, and strings; human shape and action; sequences and graphs; pattern matching and classification; document image analysis; shape analysis; multiple classifier systems; density estimation; clustering; feature selection; classification; and representation.
