Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion

In this paper, a diffusion-based curvelet shrinkage is proposed for discontinuity-preserving denoising using a combination of a new tight frame of curvelets with a nonlinear diffusion scheme. In order to suppress the pseudo-Gibbs and curvelet-like artifacts, the conventional shrinkage results are fu...

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Bibliographic Details
Published in:IEEE transactions on image processing 2007-09, Vol.16 (9), p.2198-2206
Main Authors: Jianwei Ma, Plonka, G.
Format: Article
Language:English
Subjects:
Algorithms
Anisotropic magnetoresistance
Anisotropy
Applied sciences
Curvelets
denoising
Detection, estimation, filtering, equalization, prediction
Diffusion
discontinuity-preserving
Exact sciences and technology
Frames
Gaussian noise
Harmonic analysis
Image Enhancement - methods
Image Interpretation, Computer-Assisted - methods
Image processing
Information, signal and communications theory
Joining processes
Mathematical models
Miscellaneous
Noise reduction
nonlinear diffusion
Nonlinear Dynamics
Nonlinearity
Projection
regularization
Reproducibility of Results
Sensitivity and Specificity
Shape
Shrinkage
Signal and communications theory
Signal processing
Signal, noise
Smoothing methods
Telecommunications and information theory
Wavelet transforms
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Summary:In this paper, a diffusion-based curvelet shrinkage is proposed for discontinuity-preserving denoising using a combination of a new tight frame of curvelets with a nonlinear diffusion scheme. In order to suppress the pseudo-Gibbs and curvelet-like artifacts, the conventional shrinkage results are further processed by a projected total variation diffusion, in which only the insignificant curvelet coefficients or high-frequency part of the signal are changed by use of a constrained projection. Numerical experiments from piecewise-smooth to textured images show good performances of the proposed method to recover the shape of edges and important detailed components, in comparison to some existing methods.
ISSN:1057-7149
1941-0042
DOI:10.1109/TIP.2007.902333