Designing Fair Curves and Surfaces

Designing Fair Curves and Surfaces
Author: Nickolas S. Sapidis
Publisher: SIAM
Total Pages: 316
Release: 1994-01-01
Genre: Computers
ISBN: 0898713323

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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. A valuable resource for engineers working in CAD, CAM, or computer-aided engineering.

Curve and Surface Design

Curve and Surface Design
Author: Hans Hagen
Publisher: SIAM
Total Pages: 205
Release: 1992-01-01
Genre: Mathematics
ISBN: 0898712815

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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.

Curves and Surfaces for CAGD

Curves and Surfaces for CAGD
Author: Gerald E. Farin
Publisher: Morgan Kaufmann
Total Pages: 522
Release: 2002
Genre: Computers
ISBN: 1558607374

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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 ...

Curve and Surface Design

Curve and Surface Design
Author: Pierre Jean Laurent
Publisher:
Total Pages: 476
Release: 2000
Genre: Computers
ISBN:

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Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams

Curves and Surfaces for Computer-aided Geometric Design

Curves and Surfaces for Computer-aided Geometric Design
Author: Gerald E. Farin
Publisher:
Total Pages: 460
Release: 1997
Genre: Computers
ISBN:

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Computer disk contains: "data sets, as well as all of the C routines found in the book."

Design and Application of Curves and Surfaces

Design and Application of Curves and Surfaces
Author: R. B. Fisher
Publisher: Oxford University Press, USA
Total Pages: 536
Release: 1994
Genre: Computers
ISBN:

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This books brings together recent research results in the design and use of curve and surface methods, as applied to engineering design and analysis problems, and as used by computer vision scientists for description of image scene features. Contributions are from both academics andindustrialists, and range from pure mathematics to experiences with the use of surface representations, including mathematics of surfaces, surface modelling, curves and curve modelling, and computer vision applications.

Curves and Surfaces in Computer Aided Geometric Design

Curves and Surfaces in Computer Aided Geometric Design
Author: Fujio Yamaguchi
Publisher: Springer Science & Business Media
Total Pages: 389
Release: 2012-12-06
Genre: Computers
ISBN: 3642489524

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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.

Curves and Surfaces for Computer-Aided Geometric Design

Curves and Surfaces for Computer-Aided Geometric Design
Author: Gerald Farin
Publisher: Elsevier
Total Pages: 498
Release: 2014-06-28
Genre: Mathematics
ISBN: 1483296997

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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