Abstract | ||
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In this paper we consider the distance between the shape centroid computed from the shape interior points and the shape centroid computed from the shape boundary points. We show that the distance between those centroids is upper bounded by the quarter of the perimeter of the shape considered. The obtained upper bound is sharp and cannot be improved. Next, we introduce the shape centredness as a new shape descriptor which, informally speaking, should indicate to which degree a shape has a uniquely defined centre. By exploiting the result mentioned above, we give a formula for the computation of the shape centredness. Such a computed centredness is invariant with respect to translation, rotation and scaling transformations. |
Year | DOI | Venue |
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2011 | 10.1016/j.patcog.2011.03.003 | Pattern Recognition |
Keywords | Field | DocType |
computed centredness,Centroid,Shape,shape centroid,shape interior point,shape centredness,Image processing,Centredness measure,Shape invariant,Shape descriptors,shape perimeter,shape boundary point,new shape descriptor | Pattern recognition,Image processing,Perimeter,Quarter (United States coin),Artificial intelligence,Geometry,Centroid,Mathematics | Journal |
Volume | Issue | ISSN |
44 | 9 | Pattern Recognition |
Citations | PageRank | References |
5 | 0.45 | 26 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Joviša unić | 1 | 62 | 5.16 |
Mehmet Ali Aktaş | 2 | 17 | 1.83 |
Carlos Martinez-Ortiz | 3 | 25 | 6.54 |
Antony Galton | 4 | 891 | 82.59 |