We generalize the mathematics of fractal transformations and illustrate how it leads to a new approach to the representation and processing of digital images, and consequent novel methods for filtering, watermarking, and encryption. This work substantially generalizes earlier work on fractal tops. The approach involves fractal geometry, chaotic dynamics, and an interplay between discrete and continuous representations. The underlying mathematics is established and some applications to digital imaging are described and exemplified. © 2011 Society for Industrial and Applied Mathematics
In this thesis we present an overview of image processing techniques which use fractal methods in so...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
Abstract. We present a general theory of fractal transformations and show how it leads to new type o...
In this paper we draw attention to some recent advances in fractal geometry and point out several wa...
On the basis of the theory of iterated function systems (IFS), an image may be represented by a dyna...
On the basis of the theory of iterated function systems (IFS), an image may be represented by a dyna...
Received (received date) Revised (revised date) We present some work relating to fractal transformat...
Fractals are generated by simple, recursive calculations. Encryption and decryption algorithms that ...
Problem statement: With the rapid development in the communications and information transmissions th...
In this paper, we will provide a study on Fractal based watermarking techniques available today. Fra...
In this thesis we present an overview of image processing techniques which use fractal methods in so...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approa...
Abstract. We present a general theory of fractal transformations and show how it leads to new type o...
In this paper we draw attention to some recent advances in fractal geometry and point out several wa...
On the basis of the theory of iterated function systems (IFS), an image may be represented by a dyna...
On the basis of the theory of iterated function systems (IFS), an image may be represented by a dyna...
Received (received date) Revised (revised date) We present some work relating to fractal transformat...
Fractals are generated by simple, recursive calculations. Encryption and decryption algorithms that ...
Problem statement: With the rapid development in the communications and information transmissions th...
In this paper, we will provide a study on Fractal based watermarking techniques available today. Fra...
In this thesis we present an overview of image processing techniques which use fractal methods in so...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...