Statistical Shape and Deformation Analysis

Statistical Shape and Deformation Analysis
Author: Guoyan Zheng
Publisher: Academic Press
Total Pages: 510
Release: 2017-03-23
Genre: Computers
ISBN: 0128104945

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

Statistical Shape Analysis
Author: Ian L. Dryden
Publisher: John Wiley & Sons
Total Pages: 496
Release: 2016-07-08
Genre: Mathematics
ISBN: 1119072514

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

Statistical Shape Analysis
Author: Ian L. Dryden
Publisher: Wiley-Blackwell
Total Pages: 398
Release: 1998-09-16
Genre: Mathematics
ISBN:

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

Image Correlation for Shape, Motion and Deformation Measurements

Image Correlation for Shape, Motion and Deformation Measurements
Author: Michael A. Sutton
Publisher: Springer Science & Business Media
Total Pages: 332
Release: 2009-04-21
Genre: Science
ISBN: 038778747X

Image Correlation for Shape, Motion and Deformation Measurements provides a comprehensive overview of data extraction through image analysis. Readers will find and in-depth look into various single- and multi-camera models (2D-DIC and 3D-DIC), two- and three-dimensional computer vision, and volumetric digital image correlation (VDIC). Fundamentals of accurate image matching are described, along with presentations of both new methods for quantitative error estimates in correlation-based motion measurements, and the effect of out-of-plane motion on 2D measurements. Thorough appendices offer descriptions of continuum mechanics formulations, methods for local surface strain estimation and non-linear optimization, as well as terminology in statistics and probability. With equal treatment of computer vision fundamentals and techniques for practical applications, this volume is both a reference for academic and industry-based researchers and engineers, as well as a valuable companion text for appropriate vision-based educational offerings.

Shapes and Diffeomorphisms

Shapes and Diffeomorphisms
Author: Laurent Younes
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2010-05-17
Genre: Mathematics
ISBN: 3642120555

Shapes are complex objects to apprehend, as mathematical entities, in terms that also are suitable for computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used to model shapes, and algorithms that are available to analyze them. It explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms. The book is, as far as possible, self-contained, with an appendix that describes a series of classical topics in mathematics (Hilbert spaces, differential equations, Riemannian manifolds) and sections that represent the state of the art in the analysis of shapes and their deformations. A direct application of what is presented in the book is a branch of the computerized analysis of medical images, called computational anatomy.

An Invariant Approach to Statistical Analysis of Shapes

An Invariant Approach to Statistical Analysis of Shapes
Author: Subhash R. Lele
Publisher: CRC Press
Total Pages: 323
Release: 2001-01-19
Genre: Mathematics
ISBN: 1420036173

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

Shape Analysis in Medical Image Analysis

Shape Analysis in Medical Image Analysis
Author: Shuo Li
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2014-01-28
Genre: Technology & Engineering
ISBN: 3319038133

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.

Statistics and Analysis of Shapes

Statistics and Analysis of Shapes
Author: Hamid Krim
Publisher: Springer Science & Business Media
Total Pages: 396
Release: 2007-12-31
Genre: Mathematics
ISBN: 0817644814

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.

Systematics and the Exploration of Life

Systematics and the Exploration of Life
Author: Philippe Grandcolas
Publisher: John Wiley & Sons
Total Pages: 242
Release: 2021-05-04
Genre: Science
ISBN: 1786302659

This book's aim is to obtain and organize knowledge about the diversity of living things. Their epistomological and methodological fundamentals are explained in the framework of the biology of evolution. The methods of construction and use of phylogenetic trees are presented as well as the classification and description of taxa with the nomenclature rules.

Digital Human Modeling

Digital Human Modeling
Author: Vincent D. Duffy
Publisher: Springer
Total Pages: 1083
Release: 2007-08-24
Genre: Computers
ISBN: 3540733213

This book constitutes the refereed proceedings of the First International Conference on Digital Human Modeling, DHM 2007, held in Beijing, China in July 2007. The papers thoroughly cover the thematic area of digital human modeling, addressing the following major topics: shape and movement modeling and anthropometry, building and applying virtual humans, medical and rehabilitation applications, as well as industrial and ergonomic applications.