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Surface compression with geometric bandelets
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Area preserving deformation of multiresolution curves
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Image denoising based on the edge-process model
Signal Processing
Image compression using an edge adapted redundant dictionary and wavelets
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A simple test to check the optimality of a sparse signal approximation
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Image compression by linear splines over adaptive triangulations
Signal Processing
Combining Seminorms in Adaptive Lifting Schemes and Applications to Image Analysis and Compression
Journal of Mathematical Imaging and Vision
Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation
International Journal of Computer Vision
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Journal of Mathematical Imaging and Vision
A Contourlet-Based Embedded Image Coding Scheme on Low Bit-Rate
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Image and Vision Computing
Efficient Denoising of Images with Smooth Geometry
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
Satellite image compression by post-transforms in the wavelet domain
Signal Processing
Area preserving deformation of multiresolution curves
Computer Aided Geometric Design
Multiresolution image representation using combined 2-D and 1-D directional filter banks
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Clustering-based denoising with locally learned dictionaries
IEEE Transactions on Image Processing
Geometric video approximation using weighted matching pursuit
IEEE Transactions on Image Processing
Wavelet-based SAR image despeckling and information extraction, using particle filter
IEEE Transactions on Image Processing
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ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Directional wavelet transforms for prediction residuals in video coding
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
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IEEE Transactions on Image Processing
Directional lapped transforms for image coding
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Journal of Mathematical Imaging and Vision
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Numerical Algorithms
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Journal of Mathematical Imaging and Vision
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Journal of Computational and Applied Mathematics
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Computer Vision and Image Understanding
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Journal of Visual Communication and Image Representation
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Signal Processing
Image upscaling using multiple dictionaries of natural image patches
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This paper introduces a new class of bases, called bandelet bases, which decompose the image along multiscale vectors that are elongated in the direction of a geometric flow. This geometric flow indicates directions in which the image gray levels have regular variations. The image decomposition in a bandelet basis is implemented with a fast subband-filtering algorithm. Bandelet bases lead to optimal approximation rates for geometrically regular images. For image compression and noise removal applications, the geometric flow is optimized with fast algorithms so that the resulting bandelet basis produces minimum distortion. Comparisons are made with wavelet image compression and noise-removal algorithms.