Nonlocal PDE morphology: a generalized shock operator on graph

Sadi, Ahcene; Elmoataz, Abderrahim; Toutain, Matthieu

doi:10.1007/s11760-015-0792-2

Cited by 1 publication

(2 citation statements)

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“…to their discrete shock filter, Osher and Rudin introduced a continuous shock filter based on PDEs [12], which most of the current shock filter formulations are based on for modification. Shock filters are popular in many applications [23][24][25] because of several advantages: Firstly, they create sharp discontinuities at edges in images and flat signals in other area. Second, they do not change the total variation of an image, so they are stable.…”

Section: Shock Filter and Its Modificationsmentioning

confidence: 99%

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A Novel Framework for Shock Filter Using Partial Differential Equations

Duan

2017

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Abstract:In dilation or erosion processes, a shock filter is widely used in signal enhancing or image deburring. Traditionally, sign function is employed in shock filtering for reweighting of edge-detection in images and decides whether a pixel should dilate to the local maximum or evolve to the local minimum. Some researchers replace sign function with tanh function or arctan function, trying to change the evolution tracks of the pixels when filtering is in progress. However, analysis here reveals that only function replacement does usually not work. This paper revisits first shock filters and their modifications. Then, a fuzzy shock filter is proposed after a membership function in a shock filter model is adopted to adjust the evolve rate of image pixels. The proposed filter is a parameter tuning system, which unites several formulations of shock filters into one fuzzy framework. Experimental results show that the new filter is flexible and robust and can converge fast.

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Section: Shock Filter and Its Modificationsmentioning

confidence: 99%

“…Shock filters are popular in many applications [23][24][25] because of several advantages: Firstly, they create sharp discontinuities at edges in images and flat signals in other area. Second, they do not change the total variation of an image, so they are stable.…”

Section: Introductionmentioning

confidence: 99%

A Novel Framework for Shock Filter Using Partial Differential Equations

Duan

2017

Entropy

View full text Add to dashboard Cite

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Nonlocal PDE morphology: a generalized shock operator on graph

Cited by 1 publication

References 19 publications

A Novel Framework for Shock Filter Using Partial Differential Equations

A Novel Framework for Shock Filter Using Partial Differential Equations

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