Title
The distance between shape centroids is less than a quarter of the shape perimeter
Abstract
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
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 unić1625.16
Mehmet Ali Aktaş2171.83
Carlos Martinez-Ortiz3256.54
Antony Galton489182.59