Combinatorics and image processing
Graphical Models and Image Processing
A review of image and video coding standards
Fundamenta Informaticae - Special issue on image compression
DCC '02 Proceedings of the Data Compression Conference
A refined VQ-based image compression method
Fundamenta Informaticae
Hypergraph Lossless Image Compression
ITCC '05 Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC'05) - Volume I - Volume 01
An improved tree-structured codebook search algorithm for grayscale image compression
Fundamenta Informaticae
Hypergraphs for Near-lossless Volumetric Compression
ITNG '07 Proceedings of the International Conference on Information Technology
Hypergraph Cuts & Unsupervised Representation for Image Segmentation
Fundamenta Informaticae
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Hypergraphs are a large generalisation of graphs; they are now used for many low-level image processing, by example for noise reduction, edge detection and segmentation [3, 4, 7]. In this paper we define a generic 2D and 3D-image representation based on a hypergraph. We present the mathematical definition of the hypergraph representation of an image and we show how this representation conducts to an efficient lossless compression algorithm for 2D and 3D-images. Then we introduce both 2D and 3D version of the algorithm and we give some experimental results on some various sets of images: 2D photo, 2D synthetic pictures, 3D medical images and some short animated sequences.