Geometric And Solid Modeling by Christoph M. Hoffmann

An Introduction

A concise, application-focused introduction to the mathematical foundations and algorithmic techniques of geometric and solid modeling, covering point-set and topological concepts, common representation schemes (boundary representation and constructive solid geometry), parametric curves and surfaces (including spline-based techniques), geometric transformations, intersection and Boolean operations, data structures for topological and geometric modeling, and numerical methods for approximation and robustness. The text emphasizes algorithms and implementation issues with examples and applications in CAD/CAM and computer graphics, providing a rigorous yet practical resource for students and practitioners.