Applications of fractal modeling in digital image processing

Fractals have blossomed tremendously in the past few years and have helped reconnect pure mathematics research with both the natural sciences and computing. An image representation is a broad area of research in digital image processing. Fractal modeling helps in representation of digital images of physical objects using fractal sets. Image synthesis via fractal modeling aims to determine the representation of a given digital image.;This thesis applies theory of iterated function systems for modeling industrial objects such as IC chips and printed numerals. It demonstrates how fractal dimension can help in matching of two images. Several methods of estimating fractal dimension of a digitized image based on Fractional Brownian Function are described. A simple method of estimating a fractal dimension of a binary image based on mathematical morphology has been developed and tested for numerous images. It has been observed that fractal dimension could be a sole measure for the given image and could give insight information about the image. A new technique of multi-level averaging method has been developed to quantify a measure of closeness between two images and the results are discussed.