E-resources
Peer reviewed
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Lavor, Carlile; Souza, Michael; Aragón, José Luis
Graphical models, March 2021, 2021-03-00, Volume: 114Journal Article
•This paper introduces the conformal model of the 3D space based solely on elementary linear algebra.•No knowledge of Clifford algebra is required.•Matrix representations of isometries of the 3D space are presented 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.
