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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 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, 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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