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Computer Graphics and Mathematics

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. Bianca Falcidieno

    1. Institute for Applied Mathematics, CRN, Genoa, Italy

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  2. Ivan Herman

    1. Centre for Mathematics and Computer Sciences, Amsterdam, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  3. Caterina Pienovi

    1. Institute for Applied Mathematics, CRN, Genoa, Italy

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Part of the book series: Focus on Computer Graphics (FOCUS COMPUTER)

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Table of contents (19 papers)

  1. Front Matter

    Pages I-2
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  2. Integer Approximation to the Intersection of Three Planes with Planar Constraints

    • Maharaj Mukherjee, George Nagy, Shashank Mehta
    Pages 3-22

  3. Approximate C1—blending with Triangular Cubic Patches

    • Hartmut Prautzsch
    Pages 23-30

  4. A Geometric Approach to Bézier Curves

    • Hans-Peter Seidel
    Pages 31-43

  5. Representing and Modeling of Cyclide Patches using NURBS

    • Xiaolin Zhou
    Pages 45-59

  6. Local Parametrization of Space Curves at Singular Points

    • Maria E. Alonso, Teo Mora, Gianfranco Niesi, Mario Raimondo
    Pages 61-90

  7. Shape of Curves and Surfaces: the Combinatorics

    • Paola Cellini, Patrizia Gianni, Carlo Traverso
    Pages 91-100

  8. Two Surfaces Suffice

    • Hang K. Du, Ronald N. Goldman
    Pages 101-120

  9. Does a Trigonometric Curve Cross an Algebraic Surface?

    • Daniel Richardson
    Pages 121-128

  10. Incidence Relationships: Kernel Concept in Combinatorical Topology

    • Yi Luo, Gábor Lukács
    Pages 129-146

  11. A Taxonomy on Geometric and Topological Models

    • Tapio Takala
    Pages 147-171

  12. Multilevel Generation of Fractal Images Using the Associated Markov Process

    • Marc Coevoet
    Pages 173-188

  13. Statistical Colour Quantization for Minimum Distortion

    • Xiaolin Wu
    Pages 189-202

  14. Minimizing the Absolute Value Energy Function: An Application to Geometrical Constraint-Solving

    • Nami Kin, Yoshiaki Takai, Tosiyasu L. Kunii
    Pages 203-210

  15. Geometric Constraint Propagation with Quantum Labels

    • Remco C. Veltkamp, Farhad Arbab
    Pages 211-228

  16. Computer Vision, Descriptive Geometry, and Classical Mechanics

    • Christoph M. Hoffmann
    Pages 229-243

  17. Discrete Surface Models: Constraint-based Generation and Understanding

    • Bianca Falcidieno, Caterina Pienovi, Michela Spagnuolo
    Pages 245-261

  18. Visualization of Depth Maps

    • Jacques Lemordant
    Pages 263-284

  19. An Analysis of Digitalization Algorithms for Non-linear Curves

    • Charles A. Wüthrich
    Pages 285-297

  20. Visualizing Hyperbolic Space

    • Charlie Gunn
    Pages 299-311
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Keywords

About this book

Since its very existence as a separate field within computer science, computer graphics had to make extensive use of non-trivial mathematics, for example, projective geometry, solid modelling, and approximation theory. This interplay of mathematics and computer science is exciting, but also makes it difficult for students and researchers to assimilate or maintain a view of the necessary mathematics. The possibilities offered by an interdisciplinary approach are still not fully utilized. This book gives a selection of contributions to a workshop held near Genoa, Italy, in October 1991, where a group of mathematicians and computer scientists gathered to explore ways of extending the cooperation between mathematics and computer graphics.

Editors and Affiliations

  • Institute for Applied Mathematics, CRN, Genoa, Italy

    Bianca Falcidieno, Caterina Pienovi

  • Centre for Mathematics and Computer Sciences, Amsterdam, The Netherlands

    Ivan Herman

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