Applications and mathematical properties of the log-ratio mode
La Trobe-Kyushu Joint Seminar on Mathematics for Industry
開催期間
2015.6.9(火)
12:00 ~ 13:00
12:00 ~ 13:00
場所
九州大学 伊都キャンパス 数理学研究教育棟/マス・フォア・インダストリ研究所B1 中会議室(122号室)
講演者
Dennis Deng (Department of Engineering, La Trobe University)
概要
The log-ratio model was originally developed as a mathematical tool to systematically solve the out-of-range problem in image processing. In this talk, I will present its applications and mathematical properties. After a brief review of the concept of a generalized linear system, the log-ratio model is defined and an unsharp masking algorithm is presented. The relationship between the log-ratio model and the Bregman divergence is then discussed. This is followed by the parameterization of the log-ratio model through the triangular norm.