A fast-rotations based floating point vectoring algorithm

Abstract

The idea of approximate rotations has been introduced by J. Gotze and G. Hekstra. G Hekstra and E. Deprettere extended the concept to orthogonal fast rotations and formalized the concept by providing a fast rotation theory. In this theory, the emphasis has been on fast rotation, whereas fast rotation-based vectorization has only been considered in an approximating sense in examples published by J. Gotze and G. Hekstra. The formalization of fast rotation-based vectorization is the subject of this paper. The few known approximate fast vectorization algorithms are special cases of the generic fast rotation-based vectorization algorithm proposed in this paper.