This volume details the mathematical background needed for geometric modeling in computer graphics. It begins with material from linear algebra and a discussion of the transformations in affine and projective geometry followed by topics from advanced calculus and chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and algebraic geometry. A companion volume covers the implementation aspects of the topic in a thorough and systematic fashion.

Huge variety of approaches and algorithms Covers not only the core topics but also looks at all the related themes Interweaves theory with applications in a way not previously attempted

Inhalt
Linear Algebra Topics.- Affine Geometry.- Projective Geometry.- Advanced Calculus Topics.- Point Set Topology.- Combinatorial Topology.- Algebraic Topology.- Differential Topology.- Differential Geometry.- Algebraic Geometry.