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Fractal Interpolation Surfaces derived from Fractal Interpolation Functions
Journal of Mathematical Analysis and Applications, 2007 The paper presents a new construction of fractal interpolation surfaces based on the construction of fractal interpolation functions and proves some of their interesting properties. With the use of fractal interpolation functions, fractal interpolation surfaces are constructed as graphs of continuous functions on arbitrary data points placed on ...
Bouboulis, P., Dalla, L.
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On Stability of Fractal Interpolation
Fractals, 1998In this paper, a special kind of FIF (fractal interpolation function) is studied. The authors prove the stability of the fractal interpolations. When the interpolation data have a small perturbation, the corresponding FIFs also have a small perturbation.
Feng, Zhigang, Xie, Heping
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The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces
Fractals, 1997In this paper, the methods of construction of a fractal surface are introduced, the principle of bivariate fractal interpolation functions is discussed. The theorem of the uniqueness of an iterated function system of bivariate fractal interpolation functions is proved.
Xie, Heping, Sun, Hongquan
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Fractal Interpolation on a Torus
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal interpolation for natural images
Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), 2003This paper proposes a fractal interpolation for natural images. Generally, linear interpolation and spline interpolation are used for image interpolation. However, an image interpolated by the above conventional methods loses some high-frequency components of an original image. The loss of components lowers fidelity of the interpolated images.
Hiroyuki Honda +2 more
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Fractal Multiquadric Interpolation Functions
SIAM Journal on Numerical AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Kumar +2 more
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FRACTAL INTERPOLANTS ON THE s-SETS
Fractals, 2010In this paper, we mainly study the s-sets (regular 1-sets), which is the most important fractal in the study of fractal geometry. The regular 1-sets are subsets of countable collection of rectifiable curves. Also we define new real maps on the s-sets by using the methodology based on fractal interpolation functions.
Paramanathan, P., Uthayakumar, R.
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Linear fractal shape interpolation
1997Proceedings of the Graphics Interface 1997 Conference, Kelowna, British Columbia, Canada, 21 - 23 May 1997, 155 ...
Brandon Burch, John Hart
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Estimating fractal dimension with fractal interpolation function models
IEEE Transactions on Medical Imaging, 1997Fractal dimension (fd) is a feature which is widely used to characterize medical images. Previously, researchers have shown that fd separates important classes of images and provides distinctive information about texture. We analyze limitations of two principal methods of estimating fd: box-counting (BC) and power spectrum (PS).
Alan I. Penn, Murray H. Loew
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Curve Fitting by Fractal Interpolation
2008Fractal 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 ...
Polychronis Manousopoulos +2 more
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