A Mathematical Model for Logarithmic Image Processing
arXiv:1412.5328
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.
The 5th World Multi-Conference on Systemics, Cybernetics and Informatics, Vol 13, pp. 117-122, SCI2001, July 22-25, 2001, Orlando, USA
Cited by in corpus (4)
- The Affine Transforms for Image Enhancement in the Context of Logarithmic Models
- Gray Level Image Enhancement Using Polygonal Functions
- Contour Detection Using Contrast Formulas in the Framework of Logarithmic Models
- Image enhancement using the mean dynamic range maximization with logarithmic operations