Fractal Top for Contractive and Non-Contractive Transformations

نویسندگان

  • Sarika Jain
  • Shyam Lal Singh
  • Swami Nath Mishra
چکیده

Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to colour-render pictures produced by fractal top and stealing colours from a natural picture. Barnsley has used the one-step feedback process to compute the fractal top. In this paper, the authors introduce a two-step feedback process to compute fractal top for contractive and non-contractive transformations. Fractal Top for Contractive and Non-Contractive Transformations

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Optimal Fractal Coding is NP - Hard 1 ( Extended

In fractal compression a signal is encoded by the parameters of a contractive transformation whose fixed point (attractor) is an approximation of the original data. Thus fractal coding can be viewed as the optimization problem of finding in a set of admissible contractive transformations the transformation whose attractor is closest to a given signal. The standard fractal coding scheme based on...

متن کامل

Hierarchical Interpretation of Fractal Image Coding and Its Application to Fast Decoding

The basics of a block oriented fractal image coder, are described. The output of the coder is an IFS (Iterated Function System) code, which describes the image as a xed-point of a contractive transformation. A new hierarchical interpretation of the IFS code, which relates diierent scales of the xed-point to the code, is presented and proved. The proof is based on nding a function of a continuou...

متن کامل

Orbit of an Image Under Iterated System II

An orbital picture is a mathematical structure depicting the path of an object under Iterated Function System. Orbital and V-variable orbital pictures initially developed by Barnsley (2006) have utmost importance in computer graphics, image compression, biological modeling and other areas of fractal geometry. These pictures have been generated for linear and contractive transformations using fu...

متن کامل

On the reduction of fractal image compression encoding time

Lossy image coding by Partitioned Iterated Function Systems, popularly known as Fractal Image Compression, has recently become an active area of research. An image is coded as a set of contractive transformations in a complete metric space. As a result of a well known theorem in metric space theory, the set of contractive transformations (subject to a few constraints) is guaranteed to produce a...

متن کامل

A Novel Secure Image Coding Scheme Using Fractal Transformation

Lossy image coding by partitioned iterated function systems (PIFS), popularly known as fractal image compression, has recently become an active area of research. In this technique an image is encoded as a set of contractive transformations which represent the image compactly and produce an approximation to the original image. In this paper, we present a new application of fractal image compress...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • IJALR

دوره 3  شماره 

صفحات  -

تاریخ انتشار 2012