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An Introduction to Splines for Use in Computer Graphics and Geometric Modeling (The Morgan Kaufmann Series in Computer Graphics) [Paperback]

Richard H. Bartels (Author), John C. Beatty (Author), Brian A. Barsky (Author)

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Book Description

September 15, 1995 1558604006 978-1558604001 1

As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches.



An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.



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From the Back Cover

As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches.



An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.

About the Author

By Richard H. Bartels, John C. Beatty and Brian A. Barsky

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Inside This Book (learn more)
First Sentence:
The most basic output primitives in every computer graphics library are "LineSegment()" and "Polygon()," or their equivalents. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
natural cubic interpolating spline, phantom vertices, new control vertices, last control vertices, segment polynomials, breakpoint interval, refined knot sequence, destination chord, four control vertices, second derivative vectors, uniform knot sequence, midpoint subdivision, control vertex, control graph, first derivative vectors, basis segments, positional continuity, cardinal basis, geometric continuity, differencing process, parametric derivatives, convex hull property, multiple knots, spline space, knot spacing
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Simple Approximation Technique, B-spline Properties, Cancelling the Quadratic Term, Simple Preliminaries
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