Information-efficient decompositions

Rachel Alter-Gartenberg; Stephen K. Park

doi:10.1117/12.298378

9 January 1998 Information-efficient decompositions

Rachel Alter-Gartenberg, Stephen K. Park

Proceedings Volume 3309, Visual Communications and Image Processing '98; (1998) https://doi.org/10.1117/12.298378
Event: Photonics West '98 Electronic Imaging, 1998, San Jose, CA, United States

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.

Citation Download Citation

Rachel Alter-Gartenberg and Stephen K. Park "Information-efficient decompositions", Proc. SPIE 3309, Visual Communications and Image Processing '98, (9 January 1998); https://doi.org/10.1117/12.298378

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