Results 161 to 170 of about 2,294 (185)

Fractal Polynomial Interpolation

Zeitschrift für Analysis und ihre Anwendungen, 2005
A general procedure to define non-smooth versions of classical approximants by means of fractal interpolation functions is proposed. A complete and explicit description in the frequency domain of the functions constructed is obtained through their exact Fourier transforms.
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Fractal Interpolation Waveforms

Computer Music Journal, 1995
Fractal interpolation is a method of generating functions that pass through given points. We describe the method through an example, illustrated in Figures 1-4. Figure 1 shows four points, through which we will pass a function. Figure 2 shows linear interpolation through the four points; this is the first stage in fractal interpolation, and will be ...
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Fractal functions and interpolation

Constructive Approximation, 1986
Consider a set of data points \(\{x_ i,y_ i)\in I\times R:i=0,...,N\}\), where \(I=[x_ 0,x_ N]\subseteq R\). The author considers continuous functions f:I\(\to R\) which interpolate the given data, i.e. \(f(x_ i)=y_ i\), and such that there exist a compact subset \(K=I\times [a,b]\subseteq R^ 2\) and continuous functions \(w_ n:K\to K\) such that the ...
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New Interpolation Method with Fractal Curves

2006
Classic interpolation methods using polynominals or other functions for reconstruction complex dependences or contours perform their role well in the case of smooth and relatively regular curves. However, many shapes found in nature or dynamic relations corresponding to real process are of very irregular character and the appropriate characteristics ...
Andrzej Cader, Marcin Krupski
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Fractal Interpolation

Journal of Computing in Civil Engineering, 2002
M. C. Gemperline, T. J. Siller
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Construction of New Fractal Interpolation Functions Through Integration Method

Results in Mathematics, 2022
Arulprakash Gowrisankar
exaly  

Construction and Box Dimension of the Composite Fractal Interpolation Function

Chaos, Solitons and Fractals, 2023
Zhong Dai, Shutang Liu
exaly  

Concerning the Vector-Valued Fractal Interpolation Functions on the Sierpiński Gasket

Mediterranean Journal of Mathematics, 2021
María Antonia Navascués, P Viswanathan
exaly  

Fractal Interpolation

Computer Music Journal, 1996
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Single-Image Super-Resolution Based on Rational Fractal Interpolation

IEEE Transactions on Image Processing, 2018
Yongxia Zhang, Qinglan Fan, Fangxun Bao
exaly