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An Introduction to Splines for Use in Computer Graphics and Geometric Modeling Richard H. Bartels

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling By Richard H. Bartels

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling by Richard H. Bartels


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Summary

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. The authors present the material using many examples and illustrations with the goal of building the reader's intuition.

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling Summary

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling by Richard H. Bartels

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 Richard H. Bartels

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

Table of Contents

1 Introduction 2 Preliminaries 3 Hermite and Cubic Spline Interpolation 4 A Simple Approximation Technique - Uniform Cubic B-splines 5 Splines in a More General Setting 6 The One-Sided Basis 7 Divided Differences 8 General B-splines 9 B-spline Properties 10 Bezier Curves 11. Knot Insertion 12 The Oslo Algorithm 13 Parametric vs. Geometric Continuity 14 Uniformly-Shaped Beta-spline Surfaces 15 Geometric Continuity, Reparametrization, and the Chain Rule 16 Continuously-Shaped Beta-splines 17 An Explicity Formulation for Cubic Beta-splines 18 Discretely-Shaped Beta-splines 19 B-spline Representations for Beta-splines 20 Rendering and Evaluation 21 Selected Applications

Additional information

NLS9781558604001
9781558604001
1558604006
An Introduction to Splines for Use in Computer Graphics and Geometric Modeling by Richard H. Bartels
New
Paperback
Elsevier Science & Technology
1996-04-17
476
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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