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Communication Dans Un Congrès Année : 2009

Significant Reduction of Gibbs' Overshoot with Generalized Sampling Method

Résumé

As is well-known, the use of Shannon sampling to interpolate functions with discontinuous jump points leads to the Gibbs' overshoot. In image processing, it can lead to the problem of artifacts close to edges, known as Gibbs ringring. Its amplitude cannot be reduced by increasing the sample density. Here we consider a generalized Shannon sampling method which allows the use of time-varying sample densities so that samples can be taken at a varying rate adapted to the behavior of the function. Using this generalized sampling method to approximate a periodic step function, we observe a strong reduction of Gibbs' overshoot. In a concrete example, the amplitude of the Gibbs' overshoot is reduced by about 70%.
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Dates et versions

hal-00453562 , version 1 (05-02-2010)

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  • HAL Id : hal-00453562 , version 1

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Yufang Hao, Achim Kempf. Significant Reduction of Gibbs' Overshoot with Generalized Sampling Method. SAMPTA'09, May 2009, Marseille, France. pp.Poster session. ⟨hal-00453562⟩
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