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.
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From the Reviews of the Second Edition "The book is beautifully geometric, profusely illustrated, and is supported by an extensive bibliography consisting of more than 350 citations. Farin's informal, readable style and the exercises of varying degrees of difficulty make this an ideal text for an introductory course at the advanced undergraduate or graduate levels." TONY DEROSE UNIVERSITY OF WASHINGTON, SIAM NEWS
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