Weakly differentiable functions
Weakly differentiable functions
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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
Topographic Maps and Local Contrast Changes in Natural Images
International Journal of Computer Vision
Vector Median Filters, Inf-Sup Operations, and Coupled PDE's: Theoretical Connections
Journal of Mathematical Imaging and Vision
Geometry and Color in Natural Images
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Contrast invariant registration of images
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 06
Filling-in by joint interpolation of vector fields and gray levels
IEEE Transactions on Image Processing
Dequantizing image orientation
IEEE Transactions on Image Processing
Improving density estimation by incorporating spatial information
EURASIP Journal on Advances in Signal Processing - Special issue on advanced image processing for defense and security applications
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
Contour Stencils: Total Variation along Curves for Adaptive Image Interpolation
SIAM Journal on Imaging Sciences
Multifocus image fusion and denoising: A variational approach
Pattern Recognition Letters
A Variational Approach for Sharpening High Dimensional Images
SIAM Journal on Imaging Sciences
Framelet based pan-sharpening via a variational method
Neurocomputing
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We propose an algorithm to increase the resolution of multispectral satellite images knowing the panchromatic image at high resolution and the spectral channels at lower resolution. Our algorithm is based on the assumption that, to a large extent, the geometry of the spectral channels is contained in the topographic map of its panchromatic image. This assumption, together with the relation of the panchromatic image to the spectral channels, and the expression of the low-resolution pixel in terms of the high-resolution pixels given by some convolution kernel followed by subsampling, constitute the elements for constructing an energy functional (with several variants) whose minima will give the reconstructed spectral images at higher resolution. We discuss the validity of the above approach and describe our numerical procedure. Finally, some experiments on a set of multispectral satellite images are displayed.