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Hinge angles for 3D discrete rotations
Abstract : 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.
https://hal-upec-upem.archives-ouvertes.fr/hal-00622428
Contributor : Yukiko Kenmochi Connect in order to contact the contributor
Submitted on : Monday, September 12, 2011 - 2:14:57 PM
Last modification on : Saturday, January 15, 2022 - 3:58:11 AM
Contributor : Yukiko Kenmochi Connect in order to contact the contributor
Submitted on : Monday, September 12, 2011 - 2:14:57 PM
Last modification on : Saturday, January 15, 2022 - 3:58:11 AM
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