 |
HAL UPEC - UPEM Portal |  |
 |
Conference papers
Bijective rigid motions of the 2D Cartesian grid
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.
Cited literature [8 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-01275598
Contributor : Kacper Pluta <>
Submitted on : Thursday, May 12, 2016 - 6:18:55 PM
Last modification on : Wednesday, January 13, 2021 - 4:30:02 PM
Long-term archiving on: : Wednesday, November 16, 2016 - 3:36:21 AM
Contributor : Kacper Pluta <>
Submitted on : Thursday, May 12, 2016 - 6:18:55 PM
Last modification on : Wednesday, January 13, 2021 - 4:30:02 PM
Long-term archiving on: : Wednesday, November 16, 2016 - 3:36:21 AM
File
article.pdf
Files produced by the author(s)