On errors in calculated moments of convex sets using digital images


by Klette, R and Zunic, J
Abstract:
Moments are widely used in shape recognition and identification. The (k,l)-moment, denoted by mk,l(S), of a planar measurable set is defined. Situations in image analysis and pattern recognition are assumed where real objects are acquired as binary images D(S). For a set S, its digitization is defined to be the set of all grid points with integer coordinates which belong to the region occupied by the given set S.
Reference:
On errors in calculated moments of convex sets using digital images (Klette, R and Zunic, J), In Proceedings of SPIE – The International Society for Optical Engineering, Society of Photo-Optical Instrumentation Engineers, volume 3811, 1999.
Bibtex Entry:
@inproceedings{klette1999onimages,
author = "Klette, R and Zunic, J",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",
pages = "105--116",
publisher = "Society of Photo-Optical Instrumentation Engineers",
title = "On errors in calculated moments of convex sets using digital images",
volume = "3811",
year = "1999",
abstract = "Moments are widely used in shape recognition and identification. The (k,l)-moment, denoted by mk,l(S), of a planar measurable set is defined. Situations in image analysis and pattern recognition are assumed where real objects are acquired as binary images D(S). For a set S, its digitization is defined to be the set of all grid points with integer coordinates which belong to the region occupied by the given set S.",
issn = "0277-786X",
language = "eng",
}