A uniqueness property of perfect fusion grids on Z
نویسندگان
چکیده
Region merging methods consist of improving an initial segmentation by merging some pairs of neighboring regions. In a graph, merging two regions is not straightforward. The perfect fusion graphs defined in a previous paper verify all the properties requested by region merging algorithms. In this paper, we present a theorem which states that, in any dimension, the perfect fusion grids introduced previously are the only perfect fusion graphs between the adjacency relations which are the most frequently used in image analysis.
منابع مشابه
Uniqueness of the perfect fusion grid on Z
Region merging methods consist of improving an initial segmentation by merging some pairs of neighboring regions. In a graph, merging two regions, separated by a set of vertices, is not straightforward. The perfect fusion graphs defined in [J. Cousty et al, “Fusion Graphs: Merging Properties and Watersheds”, JMIV 2008] verify all the basic properties required by region merging algorithms as use...
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Region merging methods consist of improving an initial segmentation by merging some pairs of neighboring regions. In a graph, merging two regions is not straightforward. The perfect fusion graphs defined in [J. Cousty et al, “Fusion Graphs: Merging Properties and Watersheds”, JMIV 2008] verify all the basic properties required by region merging algorithms as used in image segmentation. Unfortun...
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تاریخ انتشار 2011