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Shape Preserving Parametric Representation Of Curves With Local Control For Computer Aided Geometric Design
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Book Synopsis Shape Preserving Parametric Representation of Curves with Local Control for Computer Aided Geometric Design by : International Business Machines Corporation. Research Division
Download or read book Shape Preserving Parametric Representation of Curves with Local Control for Computer Aided Geometric Design written by International Business Machines Corporation. Research Division and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shape Preserving Representations in Computer-aided Geometric Design by : Juan M. Peña
Download or read book Shape Preserving Representations in Computer-aided Geometric Design written by Juan M. Peña and published by Nova Publishers. This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Shape Preserving Parametric Represention of Curves with Local Control for Computer Aided Geometric Design by : N. Dyn
Download or read book Shape Preserving Parametric Represention of Curves with Local Control for Computer Aided Geometric Design written by N. Dyn and published by . This book was released on 1985 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Curves and Surfaces for Computer-Aided Geometric Design by : Gerald Farin
Download or read book Curves and Surfaces for Computer-Aided Geometric Design written by Gerald Farin and published by Academic Press. This book was released on 1993 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book intended for members of the graphics community, senior and graduate level students in computer science, mathematics, and engineering, software developers of CAD/CAM systems, graphics programmers, and geometric modeling researchers.
Book Synopsis Curves and Surfaces for Computer-aided Geometric Design by :
Download or read book Curves and Surfaces for Computer-aided Geometric Design written by and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Designing Fair Curves and Surfaces by : Nickolas S. Sapidis
Download or read book Designing Fair Curves and Surfaces written by Nickolas S. Sapidis and published by SIAM. This book was released on 1994-01-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.
Book Synopsis Curve and Surface Design by : Hans Hagen
Download or read book Curve and Surface Design written by Hans Hagen and published by SIAM. This book was released on 1992-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.
Book Synopsis Mathematical Methods in Computer Aided Geometric Design by : Tom Lyche
Download or read book Mathematical Methods in Computer Aided Geometric Design written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Curves and Surfaces in Computer Aided Geometric Design by : Fujio Yamaguchi
Download or read book Curves and Surfaces in Computer Aided Geometric Design written by Fujio Yamaguchi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.
Book Synopsis Curves and Surfaces for CAGD by : Gerald E. Farin
Download or read book Curves and Surfaces for CAGD written by Gerald E. Farin and published by Morgan Kaufmann. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Chapter 1 P. B̌ezier: How a Simple System Was Born -- Chapter 2 Introductory Material -- Chapter 3 Linear Interpolation -- Chapter 4 The de Casteljau Algorithm -- Chapter 5 The Bernstein Form of a B̌ezier Curve -- Chapter 6 B̌ezier Curve Topics -- Chapter 7 Polynomial Curve Constructions -- Chapter 8 B-Spline Curves -- Chapter 9 Constructing Spline Curves -- Chapter 10 W. Boehm: Differential Geometry I -- Chapter 11 Geometric Continuity -- Chapter 12 ConicSections -- Chapter 13 Rational B̌ezier and B-Spline Curves -- Chapter 14 Tensor Product Patches -- Chapter 15 Constructing Polynomial Patches -- Chapter 16 Composite Surfaces -- Chapter 17 B̌ezier Triangles -- Chapter 18 Practical Aspects of B̌ezier Triangles -- Chapter 19 W. Boehm: Differential Geometry II -- Chapter 20 GeometricContinuityforSurfaces -- Chapter 21 Surfaces with Arbitrary Topology -- Chapter 22 Coons Patches -- Chapter 23 Shape -- Chapter 24 Evaluation of Some Methods -- Appendix A Quick Reference of Curve ...
Book Synopsis Advanced Course on FAIRSHAPE by : Panagiotis Kaklis
Download or read book Advanced Course on FAIRSHAPE written by Panagiotis Kaklis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer-aided Surface Geometry and Design by : Adrian Bowyer
Download or read book Computer-aided Surface Geometry and Design written by Adrian Bowyer and published by Oxford University Press, USA. This book was released on 1994 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the shapes of real objects for the purposes of engineering, architecture, medicine, and a host of other disciplines often requires complicated mathematics and subtle computer techniques. With contributions from eminent authorities in the field, this wide-ranging volume describes the latest research in computer-aided surface geometry and design techniques currently being used and developed. Topics include: The geometry of helical canal surface, optimized triangulation of parametric surfaces, simple singularities in surface-surface intersections, and the volume function, among others. With its technical richness and comprehensive treatment of the subject, the book will appeal to students and researchers working in CAD, CAM, architecture, medical modeling, molecular modeling, geography, cartography, and landscape design.
Book Synopsis Curves and Surfaces in Geometric Modeling by : Jean H. Gallier
Download or read book Curves and Surfaces in Geometric Modeling written by Jean H. Gallier and published by Morgan Kaufmann. This book was released on 2000 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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
Book Synopsis Curves and Surfaces for Computer Aided Geometric Design by : Gerald E. Farin
Download or read book Curves and Surfaces for Computer Aided Geometric Design written by Gerald E. Farin and published by . This book was released on 1988 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Nicholas M. Patrikalakis Publisher :Springer Science & Business Media ISBN 13 :3642040748 Total Pages :420 pages Book Rating :4.6/5 (42 download)
Book Synopsis Shape Interrogation for Computer Aided Design and Manufacturing by : Nicholas M. Patrikalakis
Download or read book Shape Interrogation for Computer Aided Design and Manufacturing written by Nicholas M. Patrikalakis and published by Springer Science & Business Media. This book was released on 2009-11-27 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between the areas geometric modeling and solid modeling. Apart from the differential geometry topics covered, the entire book is based on the unifying concept of recasting all shape interrogation problems to the solution of a nonlinear system. It provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, and geodesics.
Book Synopsis Curves and Surfaces by : Pierre-Jean Laurent
Download or read book Curves and Surfaces written by Pierre-Jean Laurent and published by CRC Press. This book was released on 1994-07-15 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int
Book Synopsis Geometric Continuity of Curves and Surfaces by : Przemysław Kiciak
Download or read book Geometric Continuity of Curves and Surfaces written by Przemysław Kiciak and published by Springer Nature. This book was released on 2022-05-31 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students, CAD system users and software developers who are interested in geometric continuity—a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology. The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.