Edge-Forming Methods for Image Zooming
Journal of Mathematical Imaging and Vision
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MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
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Journal on Image and Video Processing - Color in Image and Video Processing
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Journal of Signal Processing Systems
Geometrical PDEs based on second-order derivatives of gauge coordinates in image processing
Image and Vision Computing
Adaptive kernel-based image denoising employing semi-parametric regularization
IEEE Transactions on Image Processing
Simulation of a hybrid model for image denoising
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
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The Journal of Supercomputing
Explicit nonflat time evolution for PDE-Based image restoration
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The paper is concerned with PDE-based image restoration. A new model is introduced by hybridizing a nonconvex variant of the total variation minimization (TVM) and the motion by mean curvature (MMC) in order to deal with the mixture of the impulse and Gaussian noises reliably. We suggest the essentially nondissipative (ENoD) difference schemes for the MMC component to eliminate the impulse noise with a minimum (ideally no) introduction of dissipation. The MMC-TVM hybrid model and the ENoD schemes are applied for both gray-scale and color images. For color image denoising, we consider the chromaticity-brightness decomposition with the chromaticity formulated in the angle domain. An incomplete Crank-Nicolson alternating direction implicit time-stepping procedure is adopted to solve those differential equations efficiently. Numerical experiments have shown that the new hybrid model and the numerical schemes can remove the mixture of the impulse and Gaussian noises, efficiently and reliably, preserving edges quite satisfactorily.