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On Complete Bicubic Fractal Splines
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作者 Arya Kumar Bedabrata Chand maría a. navascués 《Applied Mathematics》 2010年第3期200-210,共11页
Fractal geometry provides a new insight to the approximation and modelling of experimental data. We give the construction of complete cubic fractal splines from a suitable basis and their error bounds with the origina... Fractal geometry provides a new insight to the approximation and modelling of experimental data. We give the construction of complete cubic fractal splines from a suitable basis and their error bounds with the original function. These univariate properties are then used to investigate complete bicubic fractal splines over a rectangle Bicubic fractal splines are invariant in all scales and they generalize classical bicubic splines. Finally, for an original function , upper bounds of the error for the complete bicubic fractal splines and derivatives are deduced. The effect of equal and non-equal scaling vectors on complete bicubic fractal splines were illustrated with suitably chosen examples. 展开更多
关键词 Fractals ITERATED Function Systems FRACTAL INTERPOLATION FUNCTIONS FRACTAL Splines Surface APPROXIMATION
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