Curves and surfaces for computer-aided geometric design : a practical guide
Author(s)
Bibliographic Information
Curves and surfaces for computer-aided geometric design : a practical guide
（Computer science and scientific computing）
Academic Press, c1997
4th ed
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Note
Includes bibliographical references (p. 387-419) and index
Description and Table of Contents
Description
Geometric modeLling is the design of three-dimensional objects which specify a workpiece in a geometrical pattern. Computers are often used in the design process because they allow a designer to manipulate the object using interactive graphics that compute design parameters and display the design for review prior to fabrication. This work focuses on Bezier and B-spline methods for curves, rational Bezier and B-spline curves, geometric continuity, spline interpolation, and Coons methods. In this fourth edition, the content has been revised and updated to include a new chapter on recursive subdivision, new material on nonrectangular topology, surface faceting, stereo lithography, and new sections on triangulations and scattered data interpolants. The disk provided in the back of the book has also been updated to include all of the data sets and the C code used in the book. Assuming only a background in calculus and basic linear algebra, this revised and updated text should be of interest to a wide audience; from computer graphics hobbyists to software developers for CAD/CAM systems.
Table of Contents
- How a simple system was born - introductory material
- the de Casteljau algorithm
- the Bernstein form of a Bezier curve
- Bezier curve topics
- polynomial inter-polation
- spline curves in Bezier form
- piecewise cubic interpolation
- cubic spline interpolation
- b-splines
- differential geometry I - geometric continuity
- conic sections
- rational Bezier and b-spline curves
- tensor product patches
- composite surfaces and spline interpolation
- Bezier triangles
- geometric continuity for surfaces
- surfaces with arbitrary topology
- coons patches
- coons patches - additional material
- differential geometry II - interrogation and smoothing
- evaluation of some methods.
by "Nielsen BookData"