Neurocomputing for 2D Contour and 3D Surface Reconstruction

Abstract

In geometric algebra, there exist specific operators named versors to model rotations, translations, and dilations, and are called rotors, translators and dilators respectively. In general, a versor ${\varvec{G}}$ is a multivector which can be expressed as the geometric product of non-singular vectors

$$\begin{aligned} G = \pm {\varvec{v}}_1 {\varvec{v}}_2 ... {\varvec{v}}_k. \end{aligned}$$