Computer Graphics and Mathematics
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...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Focus on Computer Graphics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Integer Approximation to the Intersection of Three Planes with Planar Constraints
- 2 Approximate C1-blending with Triangular Cubic Patches
- 3 A Geometric Approach to Bézier Curves
- 4 Representing and Modeling of Cyclide Patches using NURBS
- 5 Local Parametrization of Space Curves at Singular Points
- 6 Shape of Curves and Surfaces: the Combinatorics
- 7 Two Surfaces Suffice
- 8 Does a Trigonometric Curve Cross an Algebraic Surface?
- 9 Incidence Relationships: Kernel Concept in Combinatorical Topology
- 10 A Taxonomy on Geometric and Topological Models
- 11 Multilevel Generation of Fractal Images Using the Associated Markov Process
- 12 Statistical Color Quantization for Minimum Distortion
- 13 Minimizing the Absolute Value Energy Function: An Application to Geometrical Constraint-Solving
- 14 Geometric Constraint Propagation with Quantum Labels
- 15 Computer Vision, Descriptive Geometry, and Classical Mechanics
- 16 Discrete Surface Models: Constraint-based Generation and Understanding
- 17 Visualization of Depth Maps
- 18 An Analysis of Digitalization Algorithms for Non-linear Curves
- 19 Visualizing Hyperbolic Space
- List of Contributors