Results 31 to 40 of about 82,986 (296)
Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates [PDF]
, 2011 In this paper we investigate the approximation properties of kernel interpolants on manifolds. The kernels we consider will be obtained by the restriction of positive definite kernels on $\R^d$, such as radial basis functions (RBFs), to a smooth, compact
Fuselier, Edward, Wright, Grady
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\(C^{1}\) positive scattered data interpolation
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hussain, Malik Zawwar, Hussain, Maria
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Monotonicity preserving approximation of multivariate scattered data [PDF]
, 2005 This paper describes a new method of monotone interpolation and smoothing of multivariate scattered data. It is based on the assumption that the function to be approximated is Lipschitz continuous.
Beliakov, Gleb
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Approximate Approximations from scattered data
, 2005 The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered data quasi-interpolation.
Lanzara, F., Maz'ya, V., Schmidt, G.
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Local RBF approximation for scattered data fitting with bivariate splines [PDF]
, 2005 In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck +9 more
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Range Restricted C2 Interpolant to Scattered Data [PDF]
Computer Graphics, Imaging and Visualisation (CGIV 2007), 2007 The construction of a range restricted bivariate C2 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. Sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising quintic Bezier triangular patches are always positive and satisfy C2 continuity ...
A. Saaban, A.R.M. Piah, A.A. Majid
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Cubic q-Bézier Triangular Patch for Scattered Data Interpolation and Its Algorithm
AlgorithmsThis paper presents an approach to scattered data interpolation using q-Bézier triangular patches via an efficient algorithm. While existing studies have formed q-Bézier triangular patches through convex combination, their application to scattered data ...
Owen Tamin, Samsul Ariffin Abdul Karim
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Transfinite thin plate spline interpolation
, 2009 Duchon's method of thin plate splines defines a polyharmonic interpolant to scattered data values as the minimizer of a certain integral functional. For transfinite interpolation, i.e.
A. Bejancu +17 more
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Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
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Jewelry Art Modeling Design Method Based on Computer-Aided Technology
Advances in Multimedia, 2022 In order to improve the effect of jewelry art modeling design, this paper applies computer-aided technology to jewelry art modeling design. Moreover, in order to solve the situation that the given data points do not form a topological rectangular grid ...
Yuan Li, Hai Wen
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