Abstract : Rigid motions are fundamental operations in image processing. While they are bijective and isometric in R^2, they lose these properties when digitized in Z^2. To investigate these defects, we first extend a combinatorial model of the local behavior of rigid motions on Z^2, initially proposed by Nouvel and Rémila for rotations on Z^2. This allows us to study bijective rigid motions on Z^2, and to propose two algorithms for verifying whether a given rigid motion restricted to a given finite subset of Z^2 is bijective.
https://hal-upec-upem.archives-ouvertes.fr/hal-01275598
Contributor : Kacper Pluta
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Submitted on : Thursday, May 12, 2016 - 6:18:55 PM
Last modification on : Friday, October 4, 2019 - 1:29:17 AM
Long-term archiving on : Wednesday, November 16, 2016 - 3:36:21 AM
