Title of article :
A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS
Author/Authors :
RAY, P. K School of Mathematical Sciences - Sambalpur University - Sambalpur, India , PATEL, B. K International Institute of Information Technology - Bhubaneswar, India , CHOWDHURY, D. P Department of CSE - National Institute of Technology Rourkela - Rourkela, India , KUJUR, S Department of Mathematics - National Institute of Technology Rourkela - Rourkela, India
Abstract :
In this article, a new approach to the study of image scrambling based
on balancing numbers, balancing transformation is presented. The properties of the
proposed transformation and its periodicity are studied in details. In order to reduce
the periods of the balancing transformation, we separate the consecutive pixels as far as
possible from each other in that domain of the digital images.
Keywords :
balancing numbers , Fibonacci transformation , Lucas transformation , balancing transformation , periodicity
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
