An Introduction to Splines for Use in Computer Graphics and Geometric Modeling: The Morgan Kaufmann Series in Computer Graphics
Autor Richard H. Bartels, John C. Beatty, Brian A. Barskyen Limba Engleză Paperback – 16 apr 1996
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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Specificații
ISBN-13: 9781558604001
ISBN-10: 1558604006
Pagini: 476
Ilustrații: 1, black & white illustrations
Dimensiuni: 151 x 228 x 25 mm
Greutate: 0.67 kg
Ediția:New ed.
Editura: ELSEVIER SCIENCE
Seria The Morgan Kaufmann Series in Computer Graphics
ISBN-10: 1558604006
Pagini: 476
Ilustrații: 1, black & white illustrations
Dimensiuni: 151 x 228 x 25 mm
Greutate: 0.67 kg
Ediția:New ed.
Editura: ELSEVIER SCIENCE
Seria The Morgan Kaufmann Series in Computer Graphics
Cuprins
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
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