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On the choice of the first level on graph pyramids

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Abstract

After a brief review and description of the existing graph pyramids used for image processing, particularly stochastic (SP) and adaptive (AP) pyramids, we propose a new strategy to improve the final segmentation provided by such methods. The idea is to translate the image to be segmented into a minimal spanning tree (MST) before building the pyramid. It is shown that the use of an MST in this process improves the results of the pyramidal segmentation. Some experimental results are presented on synthetic and actual images. Finally, a filtering pyramidal algorithm is proposed, using the properties of the minimal spanning tree.

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This work has been performed in accordance with the research topics of the group 134 of the CNRS (National Center for Scientific Research).

The authors are with the National Institute for Applied Sciences of Lyon, URA 1216, 69621 Villeurbanne, France.

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Mathieu, C.E., Magnin, I.E. On the choice of the first level on graph pyramids. J Math Imaging Vis 6, 85–96 (1996). https://doi.org/10.1007/BF00127376

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