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

About the Author

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