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# On 2D Constrained Discrete Rigid Transformations

Abstract : Rigid transformations are involved in a wide range of digital image processing applications. In such a context, they are generally considered as continuous processes, followed by a digitization of the results. Recently, rigid transformations on $\Zset^2$ have been alternatively formulated as a fully discrete process. Following this paradigm, we investigate --from a combinatorial point of view-- the effects of pixel-invariance constraints on such transformations. In particular we describe the impact of these constraints on both the combinatorial structure of the transformation space and the algorithm leading to its generation.
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Journal articles
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https://hal-upec-upem.archives-ouvertes.fr/hal-00838184
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Submitted on : Tuesday, June 25, 2013 - 12:07:30 AM
Last modification on : Tuesday, October 19, 2021 - 11:26:18 AM
Long-term archiving on: : Thursday, September 26, 2013 - 4:18:36 AM

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### Citation

Phuc Ngo, Yukiko Kenmochi, Nicolas Passat, Hugues Talbot. On 2D Constrained Discrete Rigid Transformations. Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2015, ⟨10.1007/s10472-014-9406-x⟩. ⟨hal-00838184v1⟩

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