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Seminars

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.