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Author: Elaine Cohen
Publisher: CRC Press
Published: 2001-07-18
Total Pages: 638
ISBN-13: 1439864209
DOWNLOAD EBOOK →Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor
Author: Richard H. Bartels
Publisher: Morgan Kaufmann
Published: 1995-09
Total Pages: 504
ISBN-13: 9781558604001
DOWNLOAD EBOOK →As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.
Author: Jean H. Gallier
Publisher: Morgan Kaufmann
Published: 2000
Total Pages: 512
ISBN-13: 9781558605992
DOWNLOAD EBOOK →"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Author: Brian A. Barsky
Publisher: Springer
Published: 2013-12-20
Total Pages: 154
ISBN-13: 364272292X
DOWNLOAD EBOOK →Author: Hans Hagen
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 291
ISBN-13: 3642764045
DOWNLOAD EBOOK →This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.
Author: Shinichi Ichimura
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 339
ISBN-13: 4431680284
DOWNLOAD EBOOK →This is the first outcome of our effort in ASIAN LINK PROJECT to construct the econometric models of Asian developing countries and analyze their inter-dependence with major trading partners, the United States and Japan. The model we present here is called Asian Link System. The countries in this system include Korea, Taiwan, Hong Kong, China, the Philippines, Thailand, Malaysia, Singapore, Indonesia, Japan and the United States. They are covered by national models. The rest of the world is divided into several regions and treated by simple proto-type models. The main characteristics of Asian Link System are to deal with the inter-dependent relations between Asian developing countries on the one hand and Japan and United States on the other hand. Here are presented these national models and the Asian Link System with the underlying statistical data, so that any econometrician can re-estimate our models and check the results of our research work. Nowadays most articles and books in econometrics report only the final results or conclusions of research so that no other econometrician can re-calculate or re examine the findings. This is very serious in the empirical research, because as theorists may make mistakes, positive economists do commit errors or miss some possible considerations. Unless statiscal data are offered, other econometricians cannot make suggestions or improve the models. This is the main reason why empirical research in econometrics or applied econometrics are not making substantial progress in recent years.
Author: Yongjie Jessica Zhang
Publisher: CRC Press
Published: 2018-09-03
Total Pages: 197
ISBN-13: 1315360225
DOWNLOAD EBOOK →Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.
Author: Klaus Hollig
Publisher: SIAM
Published: 2015-07-01
Total Pages: 228
ISBN-13: 1611972949
DOWNLOAD EBOOK →B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.
Author: Carlotta Giannelli
Publisher: Springer Nature
Published: 2019-09-18
Total Pages: 238
ISBN-13: 3030273318
DOWNLOAD EBOOK →This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.
Author: Michael E. Mortenson
Publisher:
Published: 1997
Total Pages: 552
ISBN-13:
DOWNLOAD EBOOK →A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right. It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets). With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject. Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.
