Old Wine in New Bottles: A new algebraic framework for computational geometry
A "horosphere" is a non-Euclidean model of Euclidean space, originally constructed by F. A. Wachter, a student of Gauss. After nearly two centuries as a mathematical curiosity, this model has reemerged in the guise of geometric algebra with remarkable computational advantages. A compact formulation of the model and its noteworthy features is presented. It provides an ideal algebraic framework for computational geometry, with rich applications to computer-aided geometry, computer vision, robotics and related fields.
|GC R&D | Home | Overview | Evolution | Intro | NFMP | UGC | STC | GA in QM | GC Gravity | CG | Books | Infer Calc | Modeling | Links | PDF|