The paper proposes a new efficient approach to computation of interpolating spline surfaces. The generalization of an unexpected property, noticed while approximating polynomials of degree four by cubic ones, confirmed that a similar interrelation property exists between biquartic and bicubic polynomial surfaces as well. We prove that a 2×2-component C1 -class bicubic Hermite spline will be of class C2 if an equispaced grid is used and the coefficients of the spline components are computed from a corresponding biquartic polynomial. It implies that a 2×2 uniform clamped spline surface can be constructed without solving any equation. The applicability of this biquartic polynomials based approach to reducing dimensionalitywhile computing spline surfaces is demonstrated on an example.
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Open AccessBicubic splines and biquartic polynomialsFebruary 22, 2016
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Open AccessPopularity estimation of interesting locations from visitor’s trajectories using fuzzy inference systemFebruary 23, 2016
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April 5, 2016
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May 2, 2016
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May 4, 2016
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July 11, 2016
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Open AccessApplication of human body movements on the avatars model for the purpose of virtual training systemAugust 11, 2016
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Open AccessAbstraction of Meaningful Symbolized ObjectsAugust 12, 2016
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Open AccessMEMS optical switch: Switching time reductionOctober 14, 2016
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October 14, 2016
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October 17, 2016
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Open AccessColor transform analysis for microscale image segmentation to study halftone model parametersNovember 2, 2016
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November 2, 2016
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November 15, 2016
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Open AccessMeasuring, Assessing and Improving Software Quality based on Object-Oriented Design PrinciplesDecember 29, 2016
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Open AccessDevelopment and research of the algorithm for determining the maximum flow at distribution in the networkDecember 30, 2016
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December 30, 2016
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December 30, 2016