Digital image dimension and space reduction with contraction mapping

Abstract

A digital image can be represented as two dimensional arrays of pixels. In this paper a simple but representative system of contractive mapping on Euclidean plane, called the digital plane is used for image processing to generate images with reduced dimension occupying less storage space and can be efficiently transmitted. With suitable matrix metric and contraction mapping, size of the original image matrix is diminished significantly by reducing the order of sub matrices and hence images of reduced size without much compromise to the quality of image is obtained. The variations between the original and contracted image are not too pronounced when the images are of large size and are seen on small screen (mobile, tablets etc.)