OK-quantization method and its theoretical and experimental properties for simultaneous digitization both in space and in value

Yuji Tanaka; Takayuki Fujiwara; Hiroyasu Koshimizu; Munetoshi Numada

doi:10.1117/12.648707

6 December 2005 OK-quantization method and its theoretical and experimental properties for simultaneous digitization both in space and in value

Yuji Tanaka, Takayuki Fujiwara, Hiroyasu Koshimizu, Munetoshi Numada

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Proceedings Volume 6051, Optomechatronic Machine Vision; 60510I (2005) https://doi.org/10.1117/12.648707
Event: Optomechatronic Technologies 2005, 2005, Sapporo, Japan

Abstract

OK-Quantization Theory for the digitization in value ensures the reconstructivity of the probabilistic density function of the image. This paper shows some experimental demonstrations to reduce the number of the gray levels, and shows mainly that there is a necessary analytical relationship between sampling and quantization based on the equivalence relationship between two kinds of the integral, Riemann and Lebesgue integrals for calculating the volume of the image. Experimental demonstrations are also shown in this paper.

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Yuji Tanaka, Takayuki Fujiwara, Hiroyasu Koshimizu, and Munetoshi Numada "OK-quantization method and its theoretical and experimental properties for simultaneous digitization both in space and in value", Proc. SPIE 6051, Optomechatronic Machine Vision, 60510I (6 December 2005); https://doi.org/10.1117/12.648707

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