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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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00622428
Contributor : Yukiko Kenmochi <>
Submitted on : Monday, September 12, 2011 - 2:14:57 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:05 PM

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Yohan Thibault, Akihiro Sugimoto, Yukiko Kenmochi. Hinge angles for 3D discrete rotations. 13th International Workshop on Combinatorial Image Anlysis (IWCIA'09), Nov 2009, France. pp.122-134, ⟨10.1007/978-3-642-10210-3_10⟩. ⟨hal-00622428⟩

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