@inbook {982,
	title = {Deletion Rules for Equivalent Sequential and Parallel Reductions},
	booktitle = {Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications},
	series = {Lecture Notes in Computer Science},
	year = {2013},
	note = {Lecture Notes in Computer Science, Vol. 8258},
	month = {Nov 2013},
	pages = {17 - 24},
	publisher = {Springer},
	organization = {Springer},
	type = {Conference paper},
	address = {Berlin; Heidelberg},
	abstract = {<p>A reduction operator transforms a binary picture only by changing some black points to white ones, which is referred to as deletion. Sequential reductions may delete just one point at a time, while parallel reductions can alter a set of points simultaneously. Two reductions are called equivalent if they produce the same result for each input picture. This work lays a bridge between the parallel and the sequential strategies. A class of deletion rules are proposed that provide 2D parallel reductions being equivalent to sequential reductions. Some new sufficient conditions for topology-preserving parallel reductions are also reported.</p>},
	isbn = {978-3-642-41821-1},
	doi = {10.1007/978-3-642-41822-8_3},
	url = {http://link.springer.com/chapter/10.1007\%2F978-3-642-41822-8_3},
	author = {K{\'a}lm{\'a}n Pal{\'a}gyi},
	editor = {Jose Ruiz-Shulcloper and Gabriella Sanniti di Baja}
}
