Prerequisites:
Computer
Graphics.
OBJECTIVES:
This module explains how to form any type of
object, be it natural or artificial, mathematically and algorithmically so
as to be interpreted by the computer.
PROGRAM:
- Introduction.
- Evolution.
- Basic concepts:
- Analytical Geometry.
- Differential Geometry.
- Interpolation and Approximation of functions
- Geometric modelling of Euclidean objects.
- Curves
- Superficies
- Solids
- Geometric modelling of fractal objects.
- Deterministic fractals.
- Random fractals.
- Implementation techniques
- Discussion of practical examples
- Graphics standards: Open-GL, Renderman
TYPE: Optional
CREDITS:
- Theory: 3.5
- Practical: 2.5
- Total: 6.0
BIBLIOGRAPHY:
James D. Foley, Andries van Dam, Steven K. Feiner, John F. Hughes:
Computer Graphics. Principles and Practice. Second Edition.
Addison-Wesley, 1990
Mäntyla, Martti:
An Introduction to Solid Modeling.
Computer Science Press, 1988.
M. F. Barnsley:
The science of fractal images.
Springer-Verlag, 1988.
Rogers, Adams:
Mathematical Elements for Computer Graphics.
Ed. McGraw-Hill. Second Edition, 1990.
EVALUATION:
Theory exam and evaluation of a visualization
system developed by the student.
About the Group: seron@posta.unizar.es
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