3D discrete rotations using hinge angles |
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Authors: | Yohan Thibault Akihiro Sugimoto |
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Affiliation: | a Université Paris-Est, Laboratoire d’Informatique Gaspard Monge, Équipe A3SI, Franceb National Institute of Informatics, Japan |
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Abstract: | In this paper, we study 3D rotations on grid points computed by using only integers. For that purpose, we investigate 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 and to estimate the rotation between a pair of digital images in correspondence. |
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Keywords: | 3D discrete rotation Half-grid Multi-grid Hinge angle Integer computation |
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