Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm (Q765294)
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scientific article; zbMATH DE number 6015754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm |
scientific article; zbMATH DE number 6015754 |
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Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm (English)
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19 March 2012
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The authors introduce a new technique for the localization of discontinuity points from spectral data. Through this work, they are able to detect discontinuity points of a \(2\pi\)-periodic piecewise smooth function from its Fourier coefficients. This could be useful in detecting edges and reducing the effects of the Gibbs phenomenon.
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location of discontinuity points
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edge detection
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Fourier series
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piecewise smooth function
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Gibbs phenomenon
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qd-algorithm
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