Shape Preserving Representations In Computer Aided Geometric Design
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Shape Preserving Representations In Computer Aided Geometric Design
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Author : Juan M. Peña
language : en
Publisher: Nova Publishers
Release Date : 1999
Shape Preserving Representations In Computer Aided Geometric Design written by Juan M. Peña and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR
Shape Preserving Parametric Representation Of Curves With Local Control For Computer Aided Geometric Design
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Author : International Business Machines Corporation. Research Division
language : en
Publisher:
Release Date : 1985
Shape Preserving Parametric Representation Of Curves With Local Control For Computer Aided Geometric Design written by International Business Machines Corporation. Research Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Mathematical Methods In Computer Aided Geometric Design
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Author : Tom Lyche
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Mathematical Methods In Computer Aided Geometric Design written by Tom Lyche and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.
Shape Preserving Parametric Represention Of Curves With Local Control For Computer Aided Geometric Design
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Author : N. Dyn
language : en
Publisher:
Release Date : 1985
Shape Preserving Parametric Represention Of Curves With Local Control For Computer Aided Geometric Design written by N. Dyn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Computational Geometry And Computer Aided Design
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Author :
language : en
Publisher:
Release Date : 1985
Computational Geometry And Computer Aided Design written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Computer graphics categories.
Curves And Surfaces For Computer Aided Geometric Design
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Author : Gerald Farin
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Curves And Surfaces For Computer Aided Geometric Design written by Gerald Farin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher. Covers representation, manipulation, and evaluation of geometric shapes Emphasizes Bernstein-Bezier methods Written in an informal, easy-to-read style
Handbook Of Computer Aided Geometric Design
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Author : G. Farin
language : en
Publisher: Elsevier
Release Date : 2002-08-13
Handbook Of Computer Aided Geometric Design written by G. Farin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-13 with Mathematics categories.
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
Computer Aided Geometric Design
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Author : Robert E. Barnhill
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Computer Aided Geometric Design written by Robert E. Barnhill and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Technology & Engineering categories.
Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.
Mathematical Methods For Curves And Surfaces
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Author : Morten Dæhlen
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-02
Mathematical Methods For Curves And Surfaces written by Morten Dæhlen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-02 with Computers categories.
This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.
Methods Of Shape Preserving Spline Approximation
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Author : Boris I. Kvasov
language : en
Publisher: World Scientific
Release Date : 2000
Methods Of Shape Preserving Spline Approximation written by Boris I. Kvasov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.