Computer Graphics and Geometric Modelling: Implementation & Algorithms

✍ Scribed by Max K. Agoston

• Publisher: Springer
• Year: 2005
• Tongue: English
• Leaves: 921
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter
Pages i-xiv

Linear Algebra Topics
Pages 1-62

Affine Geometry
Pages 63-125

Projective Geometry
Pages 126-207

Advanced Calculus Topics
Pages 208-280

Point Set Topology
Pages 281-320

Combinatorial Topology
Pages 321-357

Algebraic Topology
Pages 358-458

Differential Topology
Pages 459-556

Differential Geometry
Pages 557-673

Algebraic Geometry
Pages 674-812

Back Matter
Pages 813-959

✦ Subjects

Analysis; Computer Graphics; Geometric Modeling; Modeling; Numerical Analysis; Topology