On the computational rationale for generative models
Computer Vision and Image Understanding
Hierarchical segmentation-based image coding using hybrid quad-binary trees
IEEE Transactions on Image Processing
Best basis denoising with non-stationary wavelet packets
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Combining local filtering and multiscale analysis for edge, ridge, and curvilinear objects detection
IEEE Transactions on Image Processing
Scanned compound document encoding using multiscale recurrent patterns
IEEE Transactions on Image Processing - Special section on distributed camera networks: sensing, processing, communication, and implementation
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We address the best basis problem - or, more generally, the best representation problem: Given a signal, a dictionary of representations, and an additive cost function, the aim is to select the representation from the dictionary which minimizes the cost for the given signal. We develop a new framework of multitree dictionaries, which includes some previously proposed dictionaries as special cases. We show how to efficiently find the best representation in a multitree dictionary using a recursive tree-pruning algorithm. We illustrate our framework through several examples, including a novel block image coder, which significantly outperforms both the standard JPEG and quadtree-based methods and is comparable to embedded coders such as JPEG2000 and SPIHT.