UID:
almahu_9949697913102882
Format:
1 online resource (343 p.)
ISBN:
1-281-03529-7
,
9786611035297
,
0-08-050920-7
Series Statement:
The Morgan Kaufmann Series in Computer Graphics
Content:
The latest from a computer graphics pioneer, An Introduction to NURBS is the ideal resource for anyone seeking a theoretical and practical understanding of these very important curves and surfaces. Beginning with Bézier curves, the book develops a lucid explanation of NURBS curves, then does the same for surfaces, consistently stressing important shape design properties and the capabilities of each curve and surface type. Throughout, it relies heavily on illustrations and fully worked examples that will help you grasp key NURBS concepts and deftly apply them in your work. Supplementing
Note:
Description based upon print version of record.
,
Front Cover; An Introduction to NURBS: With Historical Perspective; Copyright Page; Contents; Preface; Chapter 1. Curve and Surface Representation; 1.1 Introduction; 1.2 Parametric Curves; 1.3 Parametric Surfaces; 1.4 Piecewise Surfaces; 1.5 Continuity; Historical Perspective; Chapter 2. Bézier Curves; 2.1 Bézier Curve Definition; 2.2 Matrix Representation of Bézier Curves; 2.3 Bézier Curve Derivatives; 2.4 Continuity Between Bézier Curves; 2.5 Increasing the Flexibility of Bézier Curves; Historical Perspective; Chapter 3. B-spline Curves; 3.1 B-spline Curve Definition
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3.2 Convex Hull Properties of B-spline Curves3.3 Knot Vectors; 3.4 B-spline Basis Functions; 3.5 Open B-spline Curves; 3.6 Nonuniform B-spline Curves; 3.7 Periodic B-spline Curves; 3.8 Matrix Formulation of B-spline Curves; 3.9 End Conditions for Periodic; 3.10 B-spline Curve Derivatives; 3.11 B-spline Curve Fitting; 3.12 Degree Elevation; 3.13 Degree Reduction; 3.14 Knot Insertion and B-spline Curve Subdivision; 3.15 Knot Removal; 3.16 Reparameterization; Historical Perspective; Chapter 4. Rational B-spline Curves; 4.1 Rational B-spline Curves (NURBS)
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4.2 Rational B-spline Basis Functions and Curves4.3 Calculating Rational B-spline Curves; 4.4 Derivatives of NURBS Curves; 4.5 Conic Sections; Historical Perspective; Chapter 5. Bézier Surfaces; 5.1 Mapping Parametric Surfaces; 5.2 Bézier Surface Definition and Characteristics; 5.3 Bézier Surface Derivatives; 5.4 Transforming Between Surface Descriptions; Historical Perspective; Chapter 6. B-spline Surfaces; 6.1 B-spline Surfaces; 6.2 Convex Hull Properties; 6.3 Local Control; 6.4 Calculating Open B-spline Surfaces; 6.5 Periodic B-spline Surfaces; 6.6 Matrix Formulation of B-spline Surfaces
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6.7 B-spline Surface Derivatives6.8 B-spline Surface Fitting; 6.9 B-spline Surface Subdivision; 6.10 Gaussian Curvature and Surface Fairness; Historical Perspective; Chapter 7. Rational B-spline Surfaces; 7.1 Rational B-spline Surfaces (NURBS); 7.2 Characteristics of Rational B-spline Surfaces; 7.3 A Simple Rational B-spline Surface Algorithm; 7.4 Derivatives of Rational B-spline Surfaces; 7.5 Bilinear Surfaces; 7.6 Sweep Surfaces; 7.7 Ruled Rational B-spline Surfaces; 7.8 Surfaces of Revolution; 7.9 Blending Surfaces; 7.10 A Fast Rational B-spline Surface Algorithm; Appendices
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A B-spline Surface File FormatB Problems; C Algorithms; References; Index; About the Author
,
English
Additional Edition:
ISBN 1-55860-669-6
Language:
English
