Operator theoretic image coding.
Item
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Title
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Operator theoretic image coding.
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Identifier
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AAI9707145
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identifier
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9707145
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Creator
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Puh, Hong.
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Contributor
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Adviser: Patrick L. Combettes
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Date
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1996
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Language
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English
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Publisher
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City University of New York.
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Subject
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Engineering, Electronics and Electrical | Mathematics
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Abstract
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Versatile coding techniques are required to face the increasing demand of modern digital communication technology for efficient digital image transmission and storage schemes. In this dissertation, a unified framework for iterative image coding is introduced. In this framework, each basic feature of an image is individually encoded into a nonexpansive operator defined on the image space. This operator admits as fixed point set the class of images possessing the feature in question. Consequently, an image is associated with a family of operators which are specified during the encoding process, while the decoding process consists of finding a common fixed point of these operators. Decoding is achieved via a powerful parallel algorithm which proceeds by extrapolated relaxations of weighted averages of variable blocks of operators. This approach generalizes several coding techniques, in particular fractal coding--which employs a single contractive operator--and set theoretic coding--which employs convex projection operators. The effectiveness and the flexibility of the proposed operator theoretic framework is illustrated through numerical simulations on grayscale images.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
