Tsallis entropy in scale spaces

Masaru Tanaka; Takashi Watanabe; Taketoshi Mishima

doi:10.1117/12.364102

23 September 1999 Tsallis entropy in scale spaces

Masaru Tanaka, Takashi Watanabe, Taketoshi Mishima

Proceedings Volume 3811, Vision Geometry VIII; (1999) https://doi.org/10.1117/12.364102
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

Recently an interesting image analysis by scale-space method is given by Sporring and Weickert. They considered Renyi entropy at each scale to estimate the extents of the lighter pattern and the darker pattern in a given image. On the other hand, there is another generalized entropy such as Tsallis entropy, which has a physical meaning like Boltzmann entropy and is also famous for its usefulness in physics. In this paper, after giving a brief review of Tsallis entropy, we adopt Tsallis entropy as an information measure at each level for the scale-space method to elucidate what the difference between Renyi entropy and Tsallis entropy causes in result. It is also shown that Tsallis entropy is a more natural information measure than Renyi entropy.

Citation Download Citation

Masaru Tanaka, Takashi Watanabe, and Taketoshi Mishima "Tsallis entropy in scale spaces", Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); https://doi.org/10.1117/12.364102

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