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Adaptive Split-and-Merge for Image Analysis and Coding

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TLDR
In this paper, an approximation algorithm for two-dimensional (2-D) signals, e.g. images, is presented by partitioning the original signal into adjacent regions with each region being approximated in the least square sense by a 2-D analytical function.
Abstract
An approximation algorithm for two-dimensional (2-D) signals, e.g. images, is presented. This approximation is obtained by partitioning the original signal into adjacent regions with each region being approximated in the least square sense by a 2-D analytical function. The segmentation procedure is controlled iteratively to insure at each step the best possible quality between the original image and the segmented one. The segmentation is based on two successive steps: splitting the original picture into adjacent squares of different size, then merging them in an optimal way into the final region configuration. Some results are presented when the approximation is performed by polynomial functions.

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Image compression using binary space partitioning trees

TL;DR: A hierarchical approach for coding the partitioning lines of the BSP-tree representation is described, and it is shown that the image signal within the different regions (resulting from the recursive partitioning) can be represented using low-order polynomials.
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Space-Frequency Quantization for Image Compression With Directionlets

TL;DR: This paper shows how to design and implement a novel efficient space-frequency quantization (SFQ) compression algorithm using directionlets and shows that the new compression method outperforms the standard SFQ in a rate-distortion sense, both in terms of mean-square error and visual quality, especially in the low-rate compression regime.
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Fast search for best representations in multitree dictionaries

TL;DR: A new framework of multitree dictionaries is developed, which includes some previously proposed dictionaries as special cases and shows how to efficiently find the best representation in a multitree dictionary using a recursive tree-pruning algorithm.
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Image Coding With Geometric Wavelets

TL;DR: The GW method successfully competes with state-of-the-art wavelet methods such as the EZW, SPIHT, and EBCOT algorithms and outperforms other recent methods that are based on "sparse geometric representation."

Rate-Distortion Optimized Tree-Structured Compression Algorithms for Piecewise

TL;DR: The proposed quadtree-coding scheme achieves an exponentially decaying R-D behavior, for the polygonal image model composed of a white polygon-shaped object against a uniform black background, with low computational cost of .
References
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Journal ArticleDOI

Theory of Edge Detection

TL;DR: The theory of edge detection explains several basic psychophysical findings, and the operation of forming oriented zero-crossing segments from the output of centre-surround ∇2G filters acting on the image forms the basis for a physiological model of simple cells.
Journal ArticleDOI

Second-generation image-coding techniques

TL;DR: A new class of coding methods capable of achieving compression ratios as high as 70:1 is called second generation, which can be formed in this class: methods using local operators and combining their output in a suitable way and methods using contour-texture descriptions.
Journal ArticleDOI

Hierarchical Coding of Binary Images

TL;DR: This paper explores a number of hierarchical image representations as applied to binary images, of which quadtrees are a single exemplar, and discusses quadtree, binary trees, and an adaptive hierarchical method.

Codage d"images à haute compression basé sur un modèle contour-texture

Michel Kocher
TL;DR: These Ecole polytechnique federale de Lausanne EPFL, n° 476 (1983)Institut de genie electrique et electroniqueLaboratoire de traitement des signaux 1 Reference as mentioned in this paper