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Proceedings Paper

Information-efficient decompositions
Author(s): Rachel Alter-Gartenberg; Stephen K. Park
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Paper Abstract

Digital image decomposition is yet another of a series of operators that have been migrated from the realm of digital signal processing (DSP) to the realm of digital image processing (DIP) without checking the validity of some of their basic assumptions. In particular, 2D image decomposition techniques often ignore the basic difference between DSP and DIP acquisition systems. Whereas 1D acquisition is designed to ensure sufficient sampling, digital cameras are inherently designed to under sample. Therefore the assumptions of band-limited input target and a perfect sinc interpolator as the output-device response are valid only for 1D signal decomposition. This paper ties the decomposition and reconstruction design-theory to the continuous-target/discrete processing/continuous-image theory of 2D sampled images. It extends the traditional theory of image decomposition to include the effects of acquisition and display. It shows that the acquired information, not the signal's entropy, dictates the trade- off between data transmission and visual quality.It suggests the information bit-allocation tool in the case of insufficient sampling.

Paper Details

Date Published: 9 January 1998
PDF: 10 pages
Proc. SPIE 3309, Visual Communications and Image Processing '98, (9 January 1998); doi: 10.1117/12.298378
Show Author Affiliations
Rachel Alter-Gartenberg, Computer Sciences Corp. (United States)
Stephen K. Park, College of William and Mary (United States)

Published in SPIE Proceedings Vol. 3309:
Visual Communications and Image Processing '98
Sarah A. Rajala; Majid Rabbani, Editor(s)

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