Application of ADI Iterative Methods to the Restoration of Noisy Images
SIAM Journal on Matrix Analysis and Applications
Elementary Numerical Analysis: An Algorithmic Approach
Elementary Numerical Analysis: An Algorithmic Approach
A Variational Model for P+XS Image Fusion
International Journal of Computer Vision
Edge-Forming Methods for Image Zooming
Journal of Mathematical Imaging and Vision
Error estimation for Bregman iterations and inverse scale space methods in image restoration
Computing - Special Issue on Industrial Geometry
Split Bregman Algorithm, Douglas-Rachford Splitting and Frame Shrinkage
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
The Split Bregman Method for L1-Regularized Problems
SIAM Journal on Imaging Sciences
Primal dual algorithms for convex models and applications to image restoration, registration and nonlocal inpainting
Noise removal using smoothed normals and surface fitting
IEEE Transactions on Image Processing
A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting
IEEE Transactions on Image Processing
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Earth-observing satellites usually not only take ordinary red-green-blue images but also provide several images including the near-infrared and infrared spectrum. These images are called multispectral, for about four to seven different bands, or hyperspectral, for higher dimensional images of up to 210 bands. The drawback of the additional spectral information is that each spectral band has rather low spatial resolution. In this paper we propose a new variational method for sharpening high dimensional spectral images with the help of a high resolution gray-scale image while preserving the spectral characteristics used for classification and identification tasks. We describe the application of split Bregman minimization to our energy, prove convergence speed, and compare the split Bregman method to a descent method based on the ideas of alternating directions minimization. Finally, we show results on Quickbird multispectral as well as on AVIRIS hyperspectral data.