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Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.
Transformations and the Graphics Pipeline
Approaches to Geometric Modelling
Basic Geometric Modeling Tools
Visible Surface Algorithms
Illumination and Shading
Curves in Computer Graphics
Surfaces in Computer Graphics
Global Geometric Modelling Topics
Local Geometric Modelling Topics
Intrinsic Geometric Modelling
Computational Geometry Topics
The Finite Element Method
Digital Image Processing Topics
Chaos and Fractals Appendices:
Abstract Program Syntax
IGES GM - AS Geometric Modelling Program - available at http://extras.springer.com (search 978-1-85233-818-3)
SPACE - A Manifold Exploration Program - available at http://extras.springer.com (search 978-1-85233-818-3)