Results 111 to 120 of about 5,604,790 (214)
A fractal operator associated to bivariate fractal interpolation functions
, 2018 A general framework to construct fractal interpolation surfaces (FISs) on rectangular grids was presented and bilinear FIS was deduced by Ruan and Xu [Bull. Aust. Math. Soc. 91(3), 2015, pp. 435-446]. From the view point of operator theory and the stand point of developing some approximation aspects, we revisit the aforementioned construction to obtain
Verma, S., Viswanathan, P.
openaire +2 more sources
Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio Mathematica, 2019 Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
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Fractal Interpolation of Curves
, 2014 在真實世界裡，我們所見的雲、森林、樹葉、羽毛、岩石、山行都可用碎形幾何來描述，在這一篇論文中，我們可以利用任一點疊代法的程式去模仿物形，經由觀察這些形體並將資料數據化，然後我們介紹碎形疊代函數去模仿山、樹葉與地圖的輪廓。 將資料以數據化輸入後，我們可以建構二元二次的疊代函數系統，其表現出來的吸引子為一連續函數。同時我們也獲得了該疊代函數系統收斂的條件。In the thesis, we provide a quadratic fractal interpolation method to ...
林郁敏, Lin, Yu-Min
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CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
, 2010 We present a general method for generating continuous fractal interpolation surfaces by iterated function systems on an arbitrary data set over rectangular grids and estimate their Box-counting dimension.
WOLFGANG METZLER, CHOL HUI YUN
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Application of Fractal Interpolation in Rainfall Series in Hydrodynamic Models
Renmin ZhujiangIn order to solve the problem of inaccurate simulation results caused by low-precision rainfall time data to hydrological and hydrodynamic models, the fractal interpolation of the iterative function system was used to interpolate the rainfall time data ...
LI Peng +7 more
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Box Dimension and Fractional Integrals of Multivariate Fractal Interpolation Functions
, 2022 In this article, we construct the multivariate fractal interpolation functions for a given data points and explore the existence of $\alpha$-fractal function corresponding to the multivariate continuous function defined on $[0,1]\times \cdots \times [0,1]
Agrawal, Vishal +2 more
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Well logging super-resolution based on fractal interpolation enhanced by BiLSTM-AMPSO
Geomechanics and Geophysics for Geo-Energy and Geo-ResourcesEnhancing the level of geological characterization and analysis has always been a challenging task in the exploration and development of unconventional oil and gas reservoirs.
Jian Han +3 more
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Semi-Rings, Semi-Vector Spaces, and Fractal Interpolation
Fractal and FractionalIn this paper, we introduce fractal interpolation on complete semi-vector spaces. This approach is motivated by the requirements of the preservation of positivity or monotonicity of functions for some models in approximation and interpolation theory. The
Peter Massopust
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Stability and optimizing the treatment control of tuberculosis model via numerical approach
Results in Control and OptimizationAccording to World Health Organization data, tuberculosis (TB) affects nearly one-third of the world’s population and causes several million deaths and new cases each year.
Muhammad Farman +4 more
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Reproducing Kernel Hilbert Spaces and fractal interpolation
, 2011 Reproducing Kernel Hilbert Spaces (RKHSs) are a very useful and powerful tool of functional analysis with application in many diverse paradigms, such as multivariate statistics and machine learning.
Mavroforakis, M., Bouboulis, P.
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