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Biquadratic Spline Approximations
Publications of the Research Institute for Mathematical Sciences, 1984 We shall consider two kinds of spline approximations over a uniform mesh. The first of them is mid-point spline interpolation and the second is histospline approximation. Our methods don't need any knowledge of derivative values, that is, end conditions are homogeneous ones dealing with function values.
Sakai, Manabu, Usmani, Riaz A.
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Dual generalized B-spline functions and their applications in several approximation problems
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2015 A new construction method of dual generalized B-spline functions is presented in this paper. Due to the importance of generalized B-splines, several interesting applications of these dual functions in Computer Aided Manufacturing are also given.
Li ZHANG +3 more
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APPLICATION OF B-SPLINE METHOD IN SURFACE FITTING PROBLEM [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2019 Fitting a smooth surface on irregular data is a problem in many applications of data analysis. Spline polynomials in different orders have been used for interpolation and approximation in one or two-dimensional space in many researches. These polynomials
F. Esmaeili +3 more
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SPLINE APPROXIMATION FOR ZADEH'S EXTENSIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2009 In this paper we show an approximation for [Formula: see text], where u is a fuzzy interval and [Formula: see text] is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f.
Yurilev Chalco-Cano +3 more
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Approximation procedures for data acquisition in testing systems [PDF]
Computer Science Journal of Moldova, 1999 This paper deals with the results of spline approximation functions applied to periodical experimental data and its comparison with polynomial approximation functions.
N. Secrieru
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Thin plate splines for transfinite interpolation at concentric circles
Mathematical Modelling and Analysis, 2013 We propose a new method for constructing a polyspline on annuli, i.e. a C 2 surface on ℝ2 \ {0}, which is piecewise biharmonic on annuli centered at 0 and interpolates smooth data at all interface circles.
Aurelian Bejancu
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Comparison of selected splines for stem form modeling: A case study in Norway spruce
Annals of Forest Research, 2014 Natural cubic spline has been frequently used to represent stem forms, with other spline types rarely involved. Splines are a large class of functions and there are many other spline types which might serve that purpose.
Karel Kuželka, Róbert Marušák
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Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain Shams Engineering Journal, 2018 In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
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Two-stage spline-approximation in linear structure routing
Российский технологический журнал, 2021 In the article, computer design of routes of linear structures is considered as a spline approximation problem. A fundamental feature of the corresponding design tasks is that the plan and longitudinal profile of the route consist of elements of a given ...
D. A. Karpov, V. I. Struchenkov
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THB-Spline Approximations for Turbine Blade Design with Local B-Spline Approximations
, 2022 We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage of the scheme is devoted to the computation of local least squares variational spline approximations, exploiting a simple fairness functional to handle data distributions with a locally ...
C. Bracco +5 more
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