Non-euclidean Metrics and Chordal Space Structures

摘要

This paper proposes the use of the stereographic projection within the realm of Computational Geometry for the design of tree-dimensional space structures arising from planar power diagrams. In order that such structures (to which we apply the term Chordal) can approximate a broad catalogue of quadrics, it will be necessary to formulate this projection under non-Euclidean metrics.