Relative entropy of grayscale images degraded by bit-plane quantization and random noise

Gonzalo Urcid

doi:10.1117/12.901929

2 November 2011 Relative entropy of grayscale images degraded by bit-plane quantization and random noise

Gonzalo Urcid

Proceedings Volume 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World; 80116W (2011) https://doi.org/10.1117/12.901929
Event: International Commission for Optics (ICO 22), 2011, Puebla, Mexico

Abstract

This paper presents an experimental study of the relative entropy of grayscale images degraded by bit-quantization and additive random noise. Bit-plane quantization is produced by removing any number of selected bit-planes from a given grayscale image, whereas noise is modeled additively using impulse, uniform, Gaussian, Poisson, and Cauchy probability density functions. A comparison of the behavior of relative entropy with other image measures such as the normalized mean square error, the signal-to-noise ratio, and the correlation coefficient is also given for different levels of bit-plane quantization and parameter values of the aforementioned noise probability density functions. An illustrative example is provided together with characteristic graphs that demonstrate quantitatively the overall discrimination capability performed by the relative entropy measure.

Citation Download Citation

Gonzalo Urcid "Relative entropy of grayscale images degraded by bit-plane quantization and random noise", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80116W (2 November 2011); https://doi.org/10.1117/12.901929

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KEYWORDS

Signal to noise ratio

Quantization

Binary data

Image compression

Interference (communication)

Statistical analysis

Communication theory

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