Non-Euclidean metrics and Chordal space structures

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Abstract

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. © Springer-Verlag Berlin Heidelberg 2006.

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Severiano, J. A. D., Gonzalez, C. O., Fernandez, R. T., & Del Val, C. M. (2006). Non-Euclidean metrics and Chordal space structures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3980 LNCS, pp. 30–39). Springer Verlag. https://doi.org/10.1007/11751540_4

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