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Labeling Color 2D Digital Images in Theoretical Near Logarithmic Time

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Computer Analysis of Images and Patterns (CAIP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10425))

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Abstract

A design of a parallel algorithm for labeling color flat zones (precisely, 4-connected components) of a gray-level or color 2D digital image is given. The technique is based in the construction of a particular Homological Spanning Forest (HSF) structure for encoding topological information of any image. HSF is a pair of rooted trees connecting the image elements at inter-pixel level without redundancy. In order to achieve a correct color zone labeling, our proposal here is to correctly building a sub-HSF structure for each image connected component, modifying an initial HSF of the whole image. For validating the correctness of our algorithm, an implementation in OCTAVE/MATLAB is written and its results are checked. Several kinds of images are tested to compute the number of iterations in which the theoretical computing time differs from the logarithm of the width plus the height of an image. Finally, real images are to be computed faster than random images using our approach.

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Acknowledgments

This work has been supported by the Spanish research projects (AEI/FEDER,UE) TEC2016-77785-P and MTM2016-81030-P. The last co-author gratefully acknowledges the support of the Austrian Science Fund FWF-P27516.

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Authors and Affiliations

  1. H.T.S. Informatics’ Engineering, University of Seville, Seville, Spain

    F. Díaz-del-Río & P. Real

  2. Faculty of Mathematics, University of Vienna, Vienna, Austria

    D. Onchis

  3. Faculty of Mathematics and Computer Science, West University of Timisoara, Timisoara, Romania

    D. Onchis

Authors
  1. F. Díaz-del-Río
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  2. P. Real
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  3. D. Onchis
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Corresponding author

Correspondence to P. Real .

Editor information

Editors and Affiliations

  1. Linköping University, Linköping, Sweden

    Michael Felsberg

  2. Lund University, Lund, Sweden

    Anders Heyden

  3. University of Southern Denmark, Odense, Denmark

    Norbert Krüger

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Díaz-del-Río, F., Real, P., Onchis, D. (2017). Labeling Color 2D Digital Images in Theoretical Near Logarithmic Time. In: Felsberg, M., Heyden, A., Krüger, N. (eds) Computer Analysis of Images and Patterns. CAIP 2017. Lecture Notes in Computer Science(), vol 10425. Springer, Cham. https://doi.org/10.1007/978-3-319-64698-5_33

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  • DOI: https://doi.org/10.1007/978-3-319-64698-5_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64697-8

  • Online ISBN: 978-3-319-64698-5

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