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자연과학대학
수학전공
Journal papers
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Polynomial fitting for edge detection in irregularly sampled signals and images
Title
Polynomial fitting for edge detection in irregularly sampled signals and images
Authors
Archibald R.
;
Gelb A.
;
Yoon J.
Ewha Authors
윤정호
SCOPUS Author ID
윤정호
Issue Date
2005
Journal Title
SIAM Journal on Numerical Analysis
ISSN
0036-1429
Citation
SIAM Journal on Numerical Analysis vol. 43, no. 1, pp. 259 - 279
Indexed
SCI; SCIE; SCOPUS
Document Type
Article
Abstract
We propose a new edge detection method that is effective on multivariate irregular data in any domain. The method is based on a local polynomial annihilation technique and can be characterized by its convergence to zero for any value away from discontinuities. The method is numerically cost efficient and entirely independent of any specific shape or complexity of boundaries. Application of the minmod function to the edge detection method of various orders ensures a high rate of convergence away from the discontinuities while reducing the inherent oscillations near the discontinuities. It further enables distinction of jump discontinuities from steep gradients, even in instances where only sparse nonuniform data is available. These results are successfully demonstrated in both one and two dimensions. © 2005 Society for Industrial and Applied Mathematics.
DOI
10.1137/S0036142903435259
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