Geometric algebra: a computational framework for geometrical applications. 2

S. Mann, L. Dorst
2002 IEEE Computer Graphics and Applications  
Geometric algebra is a consistent computational framework in which to define geometric primitives and their relationships. This algebraic approach contains all geometric operators and permits specification of constructions in a totally coordinate-free manner. Since it contains primitives of any dimensionality (rather than just vectors) it has no special cases: all intersections of primitives are computed with one general incidence operator. This paper gives an introduction to the elements of
more » ... metric algebra to aid assessment of its potential for geometric programming. It contains no really new results, but collects known elements of relevance to computer graphics.
doi:10.1109/mcg.2002.1016699 fatcat:obvxbqbicjhjjfkcidkvn2bhie