Oriented Projective Geometry: A Framework for Geometric Computations

Intended for computer graphics researchers and programmers, and mathematicians working in computational geometry. This book describes oriented projective geometry, a geometric model that combines the elegance and efficiency of classical projective geometry with the consistent handling of oriented lines and planes, signed angles, line segments, convex sets, and many other fundamental geometric computing concepts that classical theory does not support. The aim of this book is to assemble a consistent, practical and effective set of tools for computational geometry that can be used by graphics programmers in their everyday work. In keeping with this goal, formal derivations are kept to a minimum, and many definitions and theorems are illustrated with explicit examples in one, two, and three dimensions.