A Mathematical Model for Logarithmic Image Processing
Computer Vision and Pattern Recognition
2014-12-18 v1
Abstract
In this paper, we propose a new mathematical model for image processing. It is a logarithmical one. We consider the bounded interval (-1, 1) as the set of gray levels. Firstly, we define two operations: addition <+> and real scalar multiplication <x>. With these operations, the set of gray levels becomes a real vector space. Then, defining the scalar product (.|.) and the norm || . ||, we obtain an Euclidean space of the gray levels. Secondly, we extend these operations and functions for color images. We finally show the effect of various simple operations on an image.
Cite
@article{arxiv.1412.5328,
title = {A Mathematical Model for Logarithmic Image Processing},
author = {Vasile Patrascu and Vasile Buzuloiu},
journal= {arXiv preprint arXiv:1412.5328},
year = {2014}
}
Comments
The 5th World Multi-Conference on Systemics, Cybernetics and Informatics, Vol 13, pp. 117-122, SCI2001, July 22-25, 2001, Orlando, USA