A Mathematical Model for Logarithmic Image Processing
نویسندگان
چکیده
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 〈×〉. 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.
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عنوان ژورنال:
- CoRR
دوره abs/1412.5328 شماره
صفحات -
تاریخ انتشار 2007