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SCALESPACE
2009
Springer

On Semi-implicit Splitting Schemes for the Beltrami Color Flow

14 years 5 months ago
On Semi-implicit Splitting Schemes for the Beltrami Color Flow
The Beltrami flow is an efficient non-linear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow is implemented by explicit schemes, that are stable only for small time steps and therefore require many iterations. In this paper we introduce a semi-implicit scheme based on the locally one-dimensional (LOD) and additive operator splitting (AOS) schemes for implementing the anisotropic Beltrami operator. The mixed spatial derivatives are treated explicitly, while the non-mixed derivatives are approximated in a semi-implicit manner. Numerical experiments demonstrate the stability of the proposed scheme. Accuracy and efficiency of the splitting schemes are tested in applications such as the scale-space analysis and denoising. In order to further accelerate the convergence of the numerical scheme, the reduced rank extrapolation (RRE) vector extrapolation technique...
Lorina Dascal, Guy Rosman, Xue-Cheng Tai, Ron Kimm
Added 27 May 2010
Updated 27 May 2010
Type Conference
Year 2009
Where SCALESPACE
Authors Lorina Dascal, Guy Rosman, Xue-Cheng Tai, Ron Kimmel
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