Scaling Theorems for Zero-Crossings

Please use this identifier to cite or link to this item: http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/5655

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DC Field	Value	Language
dc.creator	Yuille, A.L.	-
dc.creator	Poggio, T.	-
dc.date	2004-10-01T20:18:29Z	-
dc.date	2004-10-01T20:18:29Z	-
dc.date	1983-06-01	-
dc.date.accessioned	2013-10-09T02:40:36Z	-
dc.date.available	2013-10-09T02:40:36Z	-
dc.date.issued	2013-10-09	-
dc.identifier	AIM-722	-
dc.identifier	http://hdl.handle.net/1721.1/5655	-
dc.identifier.uri	http://koha.mediu.edu.my:8181/xmlui/handle/1721	-
dc.description	We characterize some properties of the zero-crossings of the laplacian of signals - in particular images - filtered with linear filters, as a function of the scale of the filter (following recent work by A. Witkin, 1983). We prove that in any dimension the only filter that does not create zero crossings as the scale increases is gaussian. This result can be generalized to apply to level-crossings of any linear differential operator: it applies in particular to ridges and ravines in the image density. In the case of the second derivative along the gradient we prove that there is no filter that avoids creation of zero-crossings.	-
dc.format	25 p.	-
dc.format	1729675 bytes	-
dc.format	1360325 bytes	-
dc.format	application/postscript	-
dc.format	application/pdf	-
dc.language	en_US	-
dc.relation	AIM-722	-
dc.title	Scaling Theorems for Zero-Crossings	-
Appears in Collections:	MIT Items

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