Image interpolation based on variational principles
Signal Processing
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration
SIAM Journal on Numerical Analysis
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis
SIAM Journal on Numerical Analysis
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Enlargement or reduction of digital images with minimum loss of information
IEEE Transactions on Image Processing
Image Super-Resolution by TV-Regularization and Bregman Iteration
Journal of Scientific Computing
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We propose a variational model which permits to simultaneously deblur and oversample an image. Indeed, after some recalls on an existing variational model for image oversampling, we show how to modify it in order to properly achieve our two goals. We discuss the modification both under a theoretical point of view (the analysis of the preservation of some structural elements) and the practical point of view of experimental results.We also describe the algorithm used to compute a solution to this model.