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

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

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  • NETL
  • NSTL
  • Elsevier
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.

IsometriesEuclidean modelHomogeneous modelConformal model

Carlile Lavor、Michael Souza、Jose Luis Aragon

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University of Campinas (IMECC-UNICAMP), Campinas, 13081-970 SP, Brazil

Federal University of Ceara (UFC), Fortaleza, 60440-900 CE, Brazil

Centro de Fisica Aplicada y Tecnologia Avanzada, Universidad Nacional Autonoma de Mexico (UNAM), Queretaro, 76230, Mexico

2021

10.1016/j.gmod.2021.101100

Graphical models

Graphical models

EISCI
ISSN：1524-0703
年,卷(期)：2021.118(1)
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