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

Texto completo
Autor(es):	Lavor, Carlile ^[1] ; Souza, Michael ^[2] ; Aragon, Jose Luis ^[3] Número total de Autores: 3
Afiliação do(s) autor(es):	^[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 Número total de Afiliações: 3
Tipo de documento:	Artigo Científico
Fonte:	GRAPHICAL MODELS; v. 114, MAR 2021.
Citações Web of Science:	0
Resumo
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)

Processo FAPESP:	19/20047-8 - Geometria de distâncias e álgebra de Clifford para o cálculo de estrutura 3D de proteínas
Beneficiário:	Carlile Campos Lavor
Modalidade de apoio:	Bolsas no Exterior - Pesquisa