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Computer Graphics and Geometric Modeling Using Beta-splines

  • Book
  • © 1988

Overview

Authors:
  1. Brian A. Barsky

    1. Berkeley Computer Graphics Laboratory, Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA

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Part of the book series: Computer Science Workbench (WORKBENCH)

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Table of contents (20 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Introduction

    • Brian A. Barsky
    Pages 1-2

  3. The Parametric Piecewise Representation

    • Brian A. Barsky
    Pages 3-4

  4. The Application of Tension to a Curve

    • Brian A. Barsky
    Pages 5-9

  5. Elementary Differential Geometry Concepts

    • Brian A. Barsky
    Pages 11-19

  6. Fundamental Geometric Measures

    • Brian A. Barsky
    Pages 21-25

  7. Geometric Continuity and Shape Parameters

    • Brian A. Barsky
    Pages 27-28

  8. Derivation of the Beta-spline Curve Representation

    • Brian A. Barsky
    Pages 29-41

  9. Curve Evaluation and Perturbation with Uniform Shape Parameters

    • Brian A. Barsky
    Pages 43-49

  10. Generalizing to Continuous Shape Parameters for Curves

    • Brian A. Barsky
    Pages 51-52

  11. Curve Evaluation and Perturbation with Continuous Shape Parameters

    • Brian A. Barsky
    Pages 53-58

  12. Classification and Analysis of Beta-spline Curve End Conditions

    • Brian A. Barsky
    Pages 59-68

  13. Explanation of the Surface Representation

    • Brian A. Barsky
    Pages 69-69

  14. Surface Evaluation and Perturbation with Uniform Shape Parameters

    • Brian A. Barsky
    Pages 71-79

  15. Generalizing to Continuous Shape Parameters for Surfaces

    • Brian A. Barsky
    Pages 81-83

  16. Surface Evaluation and Perturbation with Continuous Shape Parameters

    • Brian A. Barsky
    Pages 85-88

  17. Classification and Analysis of Beta-spline Surface Boundary Conditions

    • Brian A. Barsky
    Pages 89-98

  18. Geometrical Interpretation of the Shape Parameters

    • Brian A. Barsky
    Pages 99-107

  19. Controlling Surfaces Using the Shape Parameters

    • Brian A. Barsky
    Pages 109-117

  20. Synthetic Images of Beta-spline Objects

    • Brian A. Barsky
    Pages 119-123
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Keywords

Authors and Affiliations

  • Berkeley Computer Graphics Laboratory, Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA

    Brian A. Barsky

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