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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Orthogonality of isometries in the conformal model of the 3D space

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Author(s):
Lavor, Carlile [1] ; Souza, Michael [2] ; Aragon, Jose Luis [3]
Total Authors: 3
Affiliation:
[1] Univ Campinas IMECC UNICAMP, BR-13081970 Campinas, SP - Brazil
[2] Fed Univ Ceara UFC, BR-60440900 Fortaleza, CE - Brazil
[3] Univ Nacl Autonoma Mexico, Ctr Fis Aplicada & Tecnol Avanzada, Queretaro 76230 - Mexico
Total Affiliations: 3
Document type: Journal article
Source: GRAPHICAL MODELS; v. 114, MAR 2021.
Web of Science Citations: 0
Abstract

Motivated by questions on orthogonality of isometries, we present a new construction of the conformal model of the 3D space using just elementary linear algebra. In addition to pictures that can help the readers to understand the conformal model, our approach allows to obtain matrix representation of isometries that can be useful, for example, in applications of computational geometry, including computer graphics, robotics, and molecular geometry. (AU)

FAPESP's process: 19/20047-8 - Distance geometry and Clifford algebra for 3D protein structure calculation
Grantee:Carlile Campos Lavor
Support Opportunities: Scholarships abroad - Research