In this paper, we focus on 3D rotations on grid points computed by using only integers. For that purpose, we study the intersection between the 3D half-grid and the rotation plane. From this intersection, we define 3D hinge angles which determine a transit of a grid point from a voxel to its adjacent voxel during the rotation. Then, we give a method to sort all 3D hinge angles with integer computations. The study of 3D hinge angles allows us to design a 3D discrete rotation. © Springer-Verlag Berlin Heidelberg 2009.
CITATION STYLE
Thibault, Y., Sugimoto, A., & Kenmochi, Y. (2009). Hinge angles for 3D discrete rotations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5852 LNCS, pp. 122–134). https://doi.org/10.1007/978-3-642-10210-3_10
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