Results 241 to 250 of about 626,155 (280)
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On Monotone Spline Approximation
SIAM Journal on Mathematical Analysis, 1994For a monotone function \(f\) on the interval \([0,1]\) define \(E_{n,m} (f)=\inf \| f-s\|\) with the uniform norm \(\|\cdot \|\). The infimum is taken over all monotone splines \(s\) of order \(m+1\) on \(n+1\) equidistant knots. It is known that for \(f\in C^ j\) the estimate \(E_{n,m}(f)\leq C(m) n^{-j} \omega(f^{(j)}, n^{-1})\) holds for \(0\leq j ...
Yu, X. M., Zhou, S. P.
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NURBS APPROXIMATION OF A-SPLINES AND A-PATCHES
International Journal of Computational Geometry & Applications, 2003Given A-spline curves and A-patch surfaces that are implicitly defined on triangles and tetrahedra, we determine their NURBS representations. We provide a trimmed NURBS form for A-spline curves and a parametric tensor-product NURBS form for A-patch surfaces. We concentrate on cubic A-patches, providing a C1-continuous surface that interpolates a given
Chandrajit L. Bajaj +3 more
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SPLINE APPROXIMATIONS ON MANIFOLDS
International Journal of Wavelets, Multiresolution and Information Processing, 2006A method of construction of the local approximations in the case of functions defined on n-dimensional (n ≥ 1) smooth manifold with boundary is proposed. In particular, spline and finite-element methods on manifold are discussed. Nondegenerate simplicial subdivision of the manifold is introduced and a simple method for evaluations of approach is ...
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Multidimensional Spline Approximation
SIAM Journal on Numerical Analysis, 1980Summary: We give direct and inverse estimates for multivariate spline approximation. The direct estimates rest on new results for local polynomial approximation which generalize the work of Brudnyi and Bramble-Hilbert. The inverse estimates are multivariate extensions of one variable ideas.
Dahmen, W., De Vore, R., Scherer, K.
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Monotone Approximation by Splines
SIAM Journal on Mathematical Analysis, 1977We prove Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots. Our results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.
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Convex Approximation by Splines
SIAM Journal on Mathematical Analysis, 1981Jackson type estimates are obtained for the approximation of convex functions by convex splines with equally spaced knots. The results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.
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Approximation by Minimal Splines
Journal of Mathematical Sciences, 2013The author gives an abstract result about the rest of Lagrange type interpolation splines. This result applies to a different method used by the author in previous results on the same subject method.
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Approximation with diversified B-splines
Computer Aided Geometric Design, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ulrich Reif, Nada Sissouno
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Approximation by Discrete GB-Splines
Numerical Algorithms, 2001Discrete generalized splines are continuous piecewise defined functions which meet some smoothness conditions for the first and second divided difference at the knots. They are a generalization both of smooth generalized splines and classic discrete cubic splines. The paper is devoted to the study of generalized splines.
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Approximate conversion of spline curves
Computer Aided Geometric Design, 1987An algorithm is presented that approximates: a) a high degree spline curve by one of lower degree and with more segments, or b) a low degree spline curve by one of higher degree but with more pieces. The curvature of the approximations is studied. The method involved concepts of geometric continuity.
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