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On 2D constrained discrete rigid transformations

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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 combinatorial structure of the transformation space and the algorithm leading to its generation.

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Authors and Affiliations

  1. Université Paris-Est, LIGM, Paris, France

    Phuc Ngo, Yukiko Kenmochi & Hugues Talbot

  2. Université de Reims Champagne-Ardenne, CReSTIC, Reims, France

    Nicolas Passat

Authors
  1. Phuc Ngo
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  2. Yukiko Kenmochi
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  3. Nicolas Passat
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  4. Hugues Talbot
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Correspondence to Phuc Ngo.

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Ngo, P., Kenmochi, Y., Passat, N. et al. On 2D constrained discrete rigid transformations. Ann Math Artif Intell 75, 163–193 (2015). https://doi.org/10.1007/s10472-014-9406-x

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  • DOI: https://doi.org/10.1007/s10472-014-9406-x

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