A Method of Curve Fitting by Recurrent Fractal Interpolation

نویسندگان

  • Bhagwati Prasad
  • Bani Singh
  • Kuldip Katiyar
چکیده

The real world objects are too irregular to be modeled with the help of traditional interpolation methods. M. F. Barnsley in 1986 proposed the concept of fractal interpolation function (FIF) using iterated function systems (IFS) to describe such real world data. In many cases these data sets represent a curve rather than a function i.e. the data points are not linearly ordered with their abscissa and self affinity is not satisfied in the whole range. The recurrent fractal interpolation function (RFIF) has a role to play in such cases. The purpose of this paper is to apply recurrent fractal interpolation function to fit the piecewise self affine data.

برای دانلود رایگان 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

Curve Fitting by Fractal Interpolation

Fractal interpolation provides an efficient way to describe data that have an irregular or self-similar structure. Fractal interpolation literature focuses mainly on functions, i.e. on data points linearly ordered with respect to their abscissa. In practice, however, it is often useful to model curves as well as functions using fractal intepolation techniques. After reviewing existing methods f...

متن کامل

Fractal Interpolation Functions on the Stability of Vertical Scale Factor

Abstract: Fractal interpolation is a new interpolation method, the corresponding vertical scale factor determines the shape of fractal interpolation functions and features. Therefore, choosing the appropriate vertical scale factor, can fit the real rough curve precisely. This paper primarily studies the change of the fractal interpolation curve when giving a small perturbation on vertical scale...

متن کامل

Parameter identification and algorithmic construction of fractal interpolation functions: Applications in digital imaging and visualization

This dissertation examines the theory and applications of fractal interpolation. Its main contribution is the parameter identification, algorithmic construction and applications of fractal interpolation. We focus on the self-affine and piecewise self-affine fractal interpolation functions that are based on the theory of iterated function systems. Specifically, we present two novel methods for p...

متن کامل

Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids

A recurrent iterated function system (RIFS) is a genaralization of an IFS and provides nonself-affine fractal sets which are closer to natural objects. In general, it’s attractor is not a continuous surface in R. A recurrent fractal interpolation surface (RFIS) is an attractor of RIFS which is a graph of bivariate continuous interpolation function. We introduce a general method of generating re...

متن کامل

Fractal Geometry and the Discussion on Fractal Interpolation

From a “strange” case-Koch curve in Euclidean space, we introduce the concept of fractal geometry, and meanwhile, give the MATLAB programs and their operational results. Since a variety of phenomena in nature have fractal characteristics, yet it is difficult to simulate the natural features with fractal characteristics in Euclidean space. Therefore, in order to solve this problem, we apply frac...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014