RECOVERY OF EDGES FROM SPECTRAL DATA WITH NOISE—A NEW PERSPECTIVE
| dc.contributor.author | ENGELBERG, SHLOMO | |
| dc.contributor.author | TADMOR, EITAN | |
| dc.date.accessioned | 2008-11-06T19:14:34Z | |
| dc.date.available | 2008-11-06T19:14:34Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | We consider the problem of detecting edges—jump discontinuities in piecewise smooth functions from their N-degree spectral content, which is assumed to be corrupted by noise. There are three scales involved: the “smoothness” scale of order 1/N, the noise scale of order √η, and the O(1) scale of the jump discontinuities. We use concentration factors which are adjusted to the standard deviation of the noise √η ≫ 1/N in order to detect the underlying O(1)-edges, which are separated from the noise scale √η ≪ 1. | en |
| dc.format.extent | 423197 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | S. Engelberg & E. Tadmor (2008). Recovery of edges from spectral data with noise---a new perspective. SIAM Journal on Numerical Analysis 46(5) (2008), 2620-2635. | en |
| dc.identifier.uri | http://hdl.handle.net/1903/8664 | |
| dc.language.iso | en_US | en |
| dc.publisher | Copyright: Society for Industrial and Applied Mathematics | en |
| dc.relation.isAvailableAt | College of Computer, Mathematical & Physical Sciences | en_us |
| dc.relation.isAvailableAt | Mathematics | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, MD) | en_us |
| dc.subject | piecewise smoothness | en |
| dc.subject | edge detection | en |
| dc.subject | noisy data | en |
| dc.subject | concentration kernels | en |
| dc.subject | constrained optimization | en |
| dc.subject | separation of scales | en |
| dc.title | RECOVERY OF EDGES FROM SPECTRAL DATA WITH NOISE—A NEW PERSPECTIVE | en |
| dc.type | Article | en |