2015
DOI: 10.1007/s11760-015-0793-1
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A finite mixture model of geometric distributions for lossless image compression

Abstract: In this paper, we proposed a new geometric finite mixture model-based adaptive arithmetic coding (AAC) for lossless image compression. Applying AAC for image compression, large compression gains can be achieved only through the use of sophisticated models that provide more accurate probabilistic descriptions of the image. In this work, we proposed to divide the residual image into nonoverlapping blocks, and then we model the statistics of each block by a mixture of geometric distributions of parameters estimat… Show more

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Cited by 4 publications
(5 citation statements)
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“…It is a binary map with the same size of the original image, which is filled as follows: label Map(u, v) is set to 1 for the overflow pixels and 0 otherwise. It is also compressed by using arithmetic coding [24,[29][30][31] and then inserted into the mapped prediction error image as an auxiliary information. It is worth mentioning that for most of the tested images, this label map contains zeros only, and consequently, only one bit is required to represent it.…”
Section: (E) Time Complexitymentioning
confidence: 99%
“…It is a binary map with the same size of the original image, which is filled as follows: label Map(u, v) is set to 1 for the overflow pixels and 0 otherwise. It is also compressed by using arithmetic coding [24,[29][30][31] and then inserted into the mapped prediction error image as an auxiliary information. It is worth mentioning that for most of the tested images, this label map contains zeros only, and consequently, only one bit is required to represent it.…”
Section: (E) Time Complexitymentioning
confidence: 99%
“…A common optimization algorithm is the Expectation-Maximisation (EM) [14]. For example, these distributions can be used in image processing to improve compression [6], for perceptual hashing systems [15], or even automatic image thresholding [16].…”
Section: Curvature Distributionmentioning
confidence: 99%
“…But the curvature is computed locally, while it is often necessary to characterize the shape globally. To do this, we can construct curvature distributions [5,6] and analyze them.…”
Section: Introductionmentioning
confidence: 99%
“…A common optimization algorithm is the Expectation-Maximisation (EM) [11]. For example, these distributions can be used in image processing to improve compression [10]. Some methods in 3D mesh processing also begin to use distributions, for example to apply segmentation [4] or extract object edges [6].…”
Section: Distributionsmentioning
confidence: 99%
“…But curvatures are locally computed, while it is often necessary to characterize the shape globally. To do this, we can construct curvature distributions [4,10] and analyze them.…”
Section: Introductionmentioning
confidence: 99%