2001
DOI: 10.1109/83.941851
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Fast fractal image encoding based on adaptive search

Abstract: This paper presents a new adaptive search approach to reduce the computational complexity of fractal encoding. A simple but very efficient adaptive necessary condition is introduced to exclude a large number of unqualified domain blocks so as to speed-up fractal image compression. Furthermore, we analyzed an unconventional affine parameter that has better properties than the conventional luminance offset. Specifically, we formulated an optimal bit allocation scheme for the simultaneous quantizations of the usu… Show more

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Cited by 107 publications
(61 citation statements)
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“…Motivation for selecting a 2-bit quantization for s i is twofold. First, it has been advocated that, for a simple decoder, constant bit quantization should be used for scaling [17]. Furthermore, Tong shows that the optimal quantization for the scaling is a constrained uniform quantization with the last reconstruction level s l = 1.…”
Section: Software Algorithm Detailsmentioning
confidence: 99%
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“…Motivation for selecting a 2-bit quantization for s i is twofold. First, it has been advocated that, for a simple decoder, constant bit quantization should be used for scaling [17]. Furthermore, Tong shows that the optimal quantization for the scaling is a constrained uniform quantization with the last reconstruction level s l = 1.…”
Section: Software Algorithm Detailsmentioning
confidence: 99%
“…This is true even for improved methods that have been recently introduced [8,2,15,17]. To relieve the computational complexity, several searchless methods have been proposed in the literature [12,21,22,23].…”
Section: Introductionmentioning
confidence: 96%
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“…As mentioned earlier, the luminance offset shifts the mean value of a contrast-adjusted domain block toward a range block. Hence, subtraction of the average value of domain block before contrast adjustment and addition of range mean value after intensity scaling removes the luminance offset searching problem and reduces the bias between intensity scaling and offset as described by Tong [15]. A maximum of eight bits are required for quantizing the range average value.…”
Section: Transformationmentioning
confidence: 99%
“…Tong and Pi [15] presented an adaptive search which can exclude the domain blocks that does not satisfy the necessary condition of better matching. Jacobs et al [9] skipped adjacent domain blocks to save the encoding time.…”
Section: Introductionmentioning
confidence: 99%