| dc.contributor.author |
Yuille, A.L. |
en_US |
| dc.contributor.author |
Poggio, T. |
en_US |
| dc.date.accessioned |
2004-10-01T20:18:29Z |
|
| dc.date.available |
2004-10-01T20:18:29Z |
|
| dc.date.issued |
1983-06-01 |
en_US |
| dc.identifier.other |
AIM-722 |
en_US |
| dc.identifier.uri |
http://hdl.handle.net/1721.1/5655 |
|
| dc.description.abstract |
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. |
en_US |
| dc.description.provenance |
Made available in DSpace on 2004-10-01T20:18:29Z (GMT). No. of bitstreams: 2
AIM-722.ps: 1729675 bytes, checksum: 3fa6046d8be7a2d52af5dfccb4f385d9 (MD5)
AIM-722.pdf: 1360325 bytes, checksum: 48d0c7a07555accf2dd2e8411487530a (MD5)
Previous issue date: 1983-06-01 |
en |
| dc.format.extent |
25 p. |
en_US |
| dc.format.extent |
1729675 bytes |
|
| dc.format.extent |
1360325 bytes |
|
| dc.format.mimetype |
application/postscript |
|
| dc.format.mimetype |
application/pdf |
|
| dc.language.iso |
en_US |
|
| dc.relation.ispartofseries |
AIM-722 |
en_US |
| dc.title |
Scaling Theorems for Zero-Crossings |
en_US |
