Results 281 to 290 of about 1,170,819 (338)

Biorthogonal Approximation by Splines

Journal of Mathematical Sciences, 2014
For bi-infinite grids of points in one dimension on intervals, bi-orthogonal approximations by splines are considered. Explicit expressions for the representation of the splines are derived and specified in detail in the special case of quadratic splines. Error estimated are provided as well in a variety of approaches.
Dem'yanovich, Yu. K., Lebedeva, A. V.
openaire   +2 more sources

Spiral arc spline approximation to a planar spiral

Journal of Computational and Applied Mathematics, 1999
A biarc is a one-parameter family of G1 curves that can satisfy G1 Hermite data at two points. An arc spline approximation to a smooth planar curve can be found by reading G1 Hermite data from the curve and fitting a biarc between each pair of data ...
D S Meek, D J Walton
exaly   +2 more sources

Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis

Numerische Mathematik, 2019
In this paper we provide a priori error estimates with explicit constants for both the $$L^2$$ L 2 -projection and the Ritz projection onto spline spaces of arbitrary smoothness defined on arbitrary grids.
Espen Sande, C. Manni, H. Speleers
semanticscholar   +1 more source

Semi-automatic and robust determination of dental arch form in dental cone-beam CT with B-spline approximation

Comput. Methods Programs Biomed., 2019
BACKGROUND AND OBJECTIVE The dental arch form is generally used as a base for planning orthodontic treatments. It is, therefore, vital to determine the proper individual dental arch form for more accurate orthodontic treatment.
M. Bae, Jae-Woo Park, Namkug Kim
semanticscholar   +1 more source

New cubic B-spline approximation for solving third order Emden-Flower type equations

Applied Mathematics and Computation, 2018
In this article, the typical cubic B-spline collocation method equipped with new approximations for second and third order derivatives is employed to explore the numerical solution of a class of third order non-linear singular boundary value problems ...
M. Iqbal, M. Abbas, Imtiaz Wasim
semanticscholar   +1 more source

Multidimensional Spline Approximation

SIAM Journal on Numerical Analysis, 1980
Summary: 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.
openaire   +1 more source

Cubic B-spline curve approximation by curve unclamping [PDF]

CAD Computer Aided Design, 2010
International audienceA new approach for cubic B-spline curve approximation is presented. The method produces an approximation cubic B-spline curve tangent to a given curve at a set of selected positions, called tangent points, in a piecewise manner ...
Xiao-Diao Chen, Weiyin Ma
exaly   +2 more sources

SPLINE APPROXIMATIONS ON MANIFOLDS

International Journal of Wavelets, Multiresolution and Information Processing, 2006
A 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 ...
openaire   +1 more source

NURBS APPROXIMATION OF A-SPLINES AND A-PATCHES

International Journal of Computational Geometry & Applications, 2003
Given 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, Guoliang Xu, Robert J. Holt, Arun N. Netravali   +3 more
openaire   +1 more source

Monotone Approximation by Splines

SIAM Journal on Mathematical Analysis, 1977
We 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.
openaire   +2 more sources