Institute of Mathematics for Industry

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Applications and mathematical properties of the log-ratio mode


Hold Date 2015-06-09 12:00~2015-06-09 13:00

Place Meeting Room (#122), Faculty of Mathematics building, Ito Campus, Kyushu University

Object person  

Speaker Dennis Deng (Department of Engineering, La Trobe University)

Abstract:
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.