Results 11 to 20 of about 11,116 (261)
Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]
In this paper, a fractional degree cubic spline scheme is proposed and analyzed for fractional order with the multi-term Riemann–Liouvile (R–L) derivatives. For the integral and fractional differential equations, we handle fractional continuity equations
Twana Hidayat +2 more
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Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach [PDF]
Cubic splines with equidistant spline sampling points are a common method in atmospheric science, used for the approximation of background conditions by means of filtering superimposed fluctuations from a data series.
S. Wüst +7 more
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Methods of Spline Functions in Solving Problems of Telecommunication and Information Technologies
The solution to problems of telecommunications and information technologies using spline approximation and spline extrapolation based on real and complex spline functions is considered.
Irina Strelkovskaya +2 more
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Bivariate segment approximation and splines [PDF]
The problem to determine partitions of a given rectangle which are optimal for segment approximation (e.g., by bivariate piecewise polynomials) is investigated. We give criteria for optimal partitions and develop algorithms for computing optimal partitions of certain types.
Nürnberger, Günther +2 more
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The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch +3 more
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Optimal Approximation of Biquartic Polynomials by Bicubic Splines
Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm.
Kačala Viliam, Török Csaba
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Neutrosophic B-spline Surface Approximation Model for 3-Dimensional Data Collection [PDF]
Since there are threei membershipi functions: truth, false, and indeterminacyi, geometrical modelingi for B-spline surface approximation including neutrosophic data is particularly difficult to construct.
Siti Nur Idara Rosli +2 more
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New Cubic B-Spline Approximation for Solving Linear Two-Point Boundary-Value Problems
In this study, we introduce a new cubic B-spline (CBS) approximation method to solve linear two-point boundary value problems (BVPs). This method is based on cubic B-spline basis functions with a new approximation for the second-order derivative.
Busyra Latif +2 more
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Contour Detection of Mammogram Masses Using ChanVese Model and B-Spline Approximation
ChanVese model segmentation has been applied for contour detection of mass region in mammogram in our previous work. Available information of the desired object contour is used, in this paper, for B-spline approximation. The mass region boundary (contour)
Youssef Benyoussef +2 more
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Uniqueness and approximation orders of perfect splines are studied in this article. In the main result, upper bounds to the best approximation by perfect splines to continuous functions are provided. Moreover, the approximation results are related to the so-called \(\Sigma\Delta\) modulation of bandlimited univariate signals.
Yingkang Hu, Xiang Ming Yu
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