Results 111 to 120 of about 10,513 (148)

Local corner smoothing based on deep learning for CNC machine tools. [PDF]

open access: yesSci Rep
Jiang B   +6 more
europepmc   +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

Nonlinear Nonnested Spline Approximation

Constructive Approximation, 2016
Linear and in particular non-linear spline approximation is a most useful tool in the approximation of for instance two-dimensional functions. Usually, piecewise polynomial splines with more and more refined knot-sequences are considered as elements of nested spaces spanned by splines. Generalising from this point of view, it is interesting to consider
Lind, Martin, Petrushev, Pencho
openaire   +1 more source

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

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