Applications of dimension interpolation to orthogonal projections. [PDF]
Fraser JM.
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Fractal-geometry analysis of pediatric posterior fossa tumors - a preoperative tool for prediction of histopathology. [PDF]
Mezei T +5 more
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Studies of Water Films and Carbonation via Neutron Scattering and Infrared Adsorption: In Situ Studies of Mg(OH)<sub>2</sub> and Ca(OH)<sub>2</sub>. [PDF]
King H +5 more
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Generalization of Hermite functions by fractal interpolation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Navascués +1 more
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Fractal Interpolation Surfaces derived from Fractal Interpolation Functions
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 ...
P Bouboulis
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FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES
Fractals, 2021In this paper, we give fractal interpolation functions generated on some special affine fractal interpolation curve by harmonic functions of fractal analysis. In the case of Koch Curve, same statement is regarded as a corollary, that is, we show that it is possible to ensure that graphs of fractal interpolation functions on the Koch Curve are ...
SONGIL RI, SONGMIN NAM, HYONCHOL KIM
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On the integral transform of fractal interpolation functions
Mathematics and Computers in SimulationArulprakash Gowrisankar +2 more
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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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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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Resampling and reconstruction with fractal interpolation functions
IEEE Signal Processing Letters, 1998An alternative form of the fractal interpolation function (FIF)-previously unmentioned in the signal processing literature-is noted. This form highlights a simple relationship between fractal and linear interpolation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful way to
Jeffery R. Price, Monson H. Hayes III
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