Mathematical Methods in Computer Aided Geometric Design
Author | : Tom Lyche |
Publisher | : |
Total Pages | : 611 |
Release | : 1989 |
Genre | : |
ISBN | : |
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Author | : Tom Lyche |
Publisher | : |
Total Pages | : 611 |
Release | : 1989 |
Genre | : |
ISBN | : |
Author | : Tom Lyche |
Publisher | : Academic Press |
Total Pages | : 649 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483257983 |
Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.
Author | : Florencio I. Utreras |
Publisher | : |
Total Pages | : 99 |
Release | : 1990 |
Genre | : |
ISBN | : |
Author | : Robert E. Barnhill |
Publisher | : Academic Press |
Total Pages | : 337 |
Release | : 2014-05-10 |
Genre | : Technology & Engineering |
ISBN | : 1483268489 |
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.
Author | : Tom Lyche |
Publisher | : |
Total Pages | : 0 |
Release | : 1989 |
Genre | : |
ISBN | : |
Author | : Tom Lyche |
Publisher | : Academic Press |
Total Pages | : 632 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483257800 |
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.
Author | : J. J. Risler |
Publisher | : Cambridge University Press |
Total Pages | : 204 |
Release | : 1992-08-13 |
Genre | : Computers |
ISBN | : 9780521436915 |
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.
Author | : Gerald Farin |
Publisher | : Elsevier |
Total Pages | : 498 |
Release | : 2014-06-28 |
Genre | : Mathematics |
ISBN | : 1483296997 |
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
Author | : Morten Dæhlen |
Publisher | : Vanderbilt University Press (TN) |
Total Pages | : 608 |
Release | : 1995 |
Genre | : Computers |
ISBN | : |
An edited selection of papers from the Third International Conference on Mathematical Methods in Computer Aided Geometrical Design, held in Ulvik, Norway, June 1994. It includes 12 invited surveys on topics of current interest, along with 38 refereed research papers. Among the topics are data fitting, interpolation, and approximation; fairing and shape preservation; geometry of curves and surfaces; multivariate splines; nonlinear and rational splines; radial basis functions; and connections with wavelets. No index. Annotation copyright by Book News, Inc., Portland, OR
Author | : Morten Dæhlen |
Publisher | : Springer Science & Business Media |
Total Pages | : 453 |
Release | : 2010-03-02 |
Genre | : Computers |
ISBN | : 3642116191 |
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.