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http://hdl.handle.net/1903/8664
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| Title: | RECOVERY OF EDGES FROM SPECTRAL DATA WITH NOISE—A NEW PERSPECTIVE |
| Authors: | ENGELBERG, SHLOMO
TADMOR, EITAN |
| Type: | Article |
| Keywords: | piecewise smoothness
edge detection
noisy data
concentration kernels
constrained optimization
separation of scales |
| Issue Date: | 2008 |
| Publisher: | Copyright: Society for Industrial and Applied Mathematics |
| 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. |
| 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. |
| URI: | http://hdl.handle.net/1903/8664 |
| Appears in Collections: | Mathematics Research Works
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