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 Z^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 combi-natorial structure of the transformation space and the algorithm leading to its generation.
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Submitted on : Monday, November 16, 2015 - 1:56:15 PM
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Phuc Ngo, Yukiko Kenmochi, Nicolas Passat, Hugues Talbot. On 2D constrained discrete rigid transformations. Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2015, Annals of Mathematics and Artificial Intelligence, 75 (1-2), pp.163-193. ⟨10.1007/s10472-014-9406-x⟩. ⟨hal-00838184v2⟩

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