A comparison study of image spatial entropy

Qolamreza Ray Razlighi, Nasser Kehtarnavaz · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2008

Shannon entropy as a measure of image information is extensively used in image processing applications. This measure requires estimating a high-dimensional image probability density function which poses a limitation from a practical standpoint. A number of approaches have been introduced in the literature for estimating image spatial entropy based on the assumption of Markovianity or homogeneity. This paper provides an overview of these existing approaches and their differences with Shannon entropy. These definitions are compared by applying them to synthesized test images. These images are designed in such a way that the spatial arrangements of pixels are changed without altering the histogram, thus allowing the emphasis to be placed on evaluating image spatial entropy. Furthermore, the computational complexity aspect of the definitions are discussed. The comparison results show that although the definition of image spatial entropy based on Aura Matrix provides the most effective outcome among the existing definitions, there are still deficiencies associated with this definition.

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