Statistical Shape Analysis

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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 .

Statistical Shape and Deformation Analysis

Author : Guoyan Zheng
Publisher : Academic Press
ISBN 13 : 0128104945
Total Pages : 510 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Statistical Shape and Deformation Analysis by : Guoyan Zheng

Download or read book Statistical Shape and Deformation Analysis written by Guoyan Zheng and published by Academic Press. This book was released on 2017-03-23 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Ian L. Dryden
Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.3/5 (91 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 Wiley-Blackwell. This book was released on 1998-09-16 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thos book involves methods for the geometrical study of random objects where location, rotation and scale information.

The Statistical Theory of Shape

Author : Christopher G. Small
Publisher : Springer Science & Business Media
ISBN 13 : 1461240328
Total Pages : 237 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Statistical Theory of Shape by : Christopher G. Small

Download or read book The Statistical Theory of Shape written by Christopher G. Small and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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 Models of Shape

Author : Rhodri Davies
Publisher : Springer Science & Business Media
ISBN 13 : 184800138X
Total Pages : 309 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Statistical Models of Shape by : Rhodri Davies

Download or read book Statistical Models of Shape written by Rhodri Davies and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Shape and Shape Theory

Author : D. G. Kendall
Publisher : John Wiley & Sons
ISBN 13 : 0470317841
Total Pages : 318 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Shape and Shape Theory by : D. G. Kendall

Download or read book Shape and Shape Theory written by D. G. Kendall and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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/

Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications

Author : Chiara Brombin
Publisher : Springer
ISBN 13 : 9783319263106
Total Pages : 115 pages
Book Rating : 4.2/5 (631 download)

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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 2016-02-19 with total page 115 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.

Statistical Analysis of Spherical Data

Author : N. I. Fisher
Publisher : Cambridge University Press
ISBN 13 : 9780521456999
Total Pages : 358 pages
Book Rating : 4.4/5 (569 download)

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Book Synopsis Statistical Analysis of Spherical Data by : N. I. Fisher

Download or read book Statistical Analysis of Spherical Data written by N. I. Fisher and published by Cambridge University Press. This book was released on 1993-08-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Invariant Approach to Statistical Analysis of Shapes

Author : Subhash R. Lele
Publisher : Chapman and Hall/CRC
ISBN 13 : 9780849303197
Total Pages : 308 pages
Book Rating : 4.3/5 (31 download)

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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 Chapman and Hall/CRC. This book was released on 2001-01-19 with total page 308 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.

Shape in Medical Imaging

Author : Martin Reuter
Publisher : Springer Nature
ISBN 13 : 303061056X
Total Pages : 160 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Shape in Medical Imaging by : Martin Reuter

Download or read book Shape in Medical Imaging written by Martin Reuter and published by Springer Nature. This book was released on 2020-10-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Object Oriented Data Analysis

Author : J. S. Marron
Publisher : CRC Press
ISBN 13 : 1351189662
Total Pages : 436 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Object Oriented Data Analysis by : J. S. Marron

Download or read book Object Oriented Data Analysis written by J. S. Marron and published by CRC Press. This book was released on 2021-11-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research through new terminology for discussing the often many possible approaches to the analysis of complex data. Such data are naturally arising in a wide variety of areas. This book aims to provide ways of thinking that enable the making of sensible choices. The main points are illustrated with many real data examples, based on the authors' personal experiences, which have motivated the invention of a wide array of analytic methods. While the mathematics go far beyond the usual in statistics (including differential geometry and even topology), the book is aimed at accessibility by graduate students. There is deliberate focus on ideas over mathematical formulas. J. S. Marron is the Amos Hawley Distinguished Professor of Statistics, Professor of Biostatistics, Adjunct Professor of Computer Science, Faculty Member of the Bioinformatics and Computational Biology Curriculum and Research Member of the Lineberger Cancer Center and the Computational Medicine Program, at the University of North Carolina, Chapel Hill. Ian L. Dryden is a Professor in the Department of Mathematics and Statistics at Florida International University in Miami, has served as Head of School of Mathematical Sciences at the University of Nottingham, and is joint author of the acclaimed book Statistical Shape Analysis.

Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

Author : Victor Patrangenaru
Publisher : CRC Press
ISBN 13 : 1439820511
Total Pages : 534 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis by : Victor Patrangenaru

Download or read book Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis written by Victor Patrangenaru and published by CRC Press. This book was released on 2015-09-18 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Shape Analysis in Medical Image Analysis

Author : Shuo Li
Publisher : Springer Science & Business Media
ISBN 13 : 3319038133
Total Pages : 441 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Shape Analysis in Medical Image Analysis by : Shuo Li

Download or read book Shape Analysis in Medical Image Analysis written by Shuo Li and published by Springer Science & Business Media. This book was released on 2014-01-28 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains thirteen contributions from invited experts of international recognition addressing important issues in shape analysis in medical image analysis, including techniques for image segmentation, registration, modelling and classification and applications in biology, as well as in cardiac, brain, spine, chest, lung and clinical practice. This volume treats topics such as for example, anatomic and functional shape representation and matching; shape-based medical image segmentation; shape registration; statistical shape analysis; shape deformation; shape-based abnormity detection; shape tracking and longitudinal shape analysis; machine learning for shape modeling and analysis; shape-based computer-aided-diagnosis; shape-based medical navigation; benchmark and validation of shape representation, analysis and modeling algorithms. This work will be of interest to researchers, students and manufacturers in the fields of artificial intelligence, bioengineering, biomechanics, computational mechanics, computational vision, computer sciences, human motion, mathematics, medical imaging, medicine, pattern recognition and physics.

Statistical Atlases and Computational Models of the Heart. ACDC and MMWHS Challenges

Author : Mihaela Pop
Publisher : Springer
ISBN 13 : 3319755412
Total Pages : 267 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Statistical Atlases and Computational Models of the Heart. ACDC and MMWHS Challenges by : Mihaela Pop

Download or read book Statistical Atlases and Computational Models of the Heart. ACDC and MMWHS Challenges written by Mihaela Pop and published by Springer. This book was released on 2018-03-14 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on Statistical Atlases and Computational Models of the Heart: ACDC and MMWHS Challenges 2017, held in conjunction with MICCAI 2017, in Quebec, Canada, in September 2017. The 27 revised full workshop papers were carefully reviewed and selected from 35 submissions. The papers cover a wide range of topics computational imaging and modelling of the heart, as well as statistical cardiac atlases. The topics of the workshop included: cardiac imaging and image processing, atlas construction, statistical modelling of cardiac function across different patient populations, cardiac computational physiology, model customization, atlas based functional analysis, ontological schemata for data and results, integrated functional and structural analyses, as well as the pre-clinical and clinical applicability of these methods. Besides regular contributing papers, additional efforts of STACOM workshop were also focused on two challenges: ACDC and MM-WHS.

Design Tools and Methods in Industrial Engineering II

Author : Caterina Rizzi
Publisher : Springer Nature
ISBN 13 : 3030912345
Total Pages : 968 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Design Tools and Methods in Industrial Engineering II by : Caterina Rizzi

Download or read book Design Tools and Methods in Industrial Engineering II written by Caterina Rizzi and published by Springer Nature. This book was released on 2021-12-01 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers original papers reporting on innovative methods and tools in design, modelling, simulation and optimization, and their applications in engineering design, manufacturing and other relevant industrial sectors. Topics span from advances in geometric modelling, applications of virtual reality, innovative strategies for product development and additive manufacturing, human factors and user-centered design, engineering design education and applications of engineering design methods in medical rehabilitation and cultural heritage. Chapters are based on contributions to the Second International Conference on Design Tools and Methods in Industrial Engineering, ADM 2021, held on September 9–10, 2021, in Rome, Italy, and organized by the Italian Association of Design Methods and Tools for Industrial Engineering, and Dipartimento di Ingegneria Meccanica e Aerospaziale of Sapienza Università di Roma, Italy. All in all, this book provides academics and professionals with a timely overview and extensive information on trends and technologies in industrial design and manufacturing.

Morphometrics with R

Author : Julien Claude
Publisher : Springer Science & Business Media
ISBN 13 : 0387777903
Total Pages : 317 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Morphometrics with R by : Julien Claude

Download or read book Morphometrics with R written by Julien Claude and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain how to use R to perform morphometrics. Morpho- tric analysis is the study of shape and size variations and covariations and their covariations with other variables. Morphometrics is thus deeply rooted within stat- tical sciences. While most applications concern biology, morphometrics is becoming common tools used in archeological, palaeontological, geographical, or medicine disciplines. Since the recent formalizations of some of the ideas of predecessors, such as D’arcy Thompson, and thanks to the development of computer techno- gies and new ways for appraising shape changes and variation, morphometrics have undergone, and are still undergoing, a revolution. Most techniques dealing with s- tistical shape analysis have been developed in the last three decades, and the number of publications using morphometrics is increasing rapidly. However, the majority of these methods cannot be implemented in available software and therefore prosp- tive students often need to acquire detailed knowledge in informatics and statistics before applying them to their data. With acceleration in the accumulation of me- ods accompanying the emerging science of statistical shape analysis, it is becoming important to use tools that allow some autonomy. R easily helps ful?ll this need. Risalanguage andenvironment forstatisticalcomputingandgraphics. Although there is an increasing number of computer applications that perform morphometrics, using R has several advantages that confer to users considerable power and possible new horizons in a world that requires rapid adaptability.