Scaling Theorems for Zero-Crossings

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

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