Approximation by interpolating variational splines
نویسندگان
چکیده
منابع مشابه
IF Approximation of Fourier Transforms and Certain Interpolating Splines
We extend to iP, X g p < °°, the L2 results of Bramble and Hilbert on convergence of discrete Fourier transforms and on approximation using smooth splines. The main tools are the estimates of [ 1 ] for linear functionals on Sobolev spaces and elementary results on Fourier multipliers.
متن کاملGeodesic Interpolating Splines
We propose a simple and eecient method to interpolate landmark matching by a non-ambiguous mapping (a diieomorphism). This method is based on spline interpolation, and on recent techniques developed for the estimation of ows of diieomorphisms. Experimental results show interpolations of remarkable quality. Moreover, the method provides a Riemannian distance on sets of landmarks (with xed car-di...
متن کاملApproximation by Conic Splines
We show that the complexity of a parabolic or conic spline approximating a sufficiently smooth curve with non-vanishing curvature to within Hausdorff distance ε is c1ε +O(1), if the spline consists of parabolic arcs, and c2ε + O(1), if it is composed of general conic arcs of varying type. The constants c1 and c2 are expressed in the Euclidean and affine curvature of the curve. We also show that...
متن کاملConvex Approximation by Quadratic Splines
Given a convex function f without any smoothness requirements on its derivatives, we estimate its error of approximation by C 1 convex quadratic splines in terms of ! 3 (f; 1=n).
متن کاملOn uniform approximation by splines
for 0 ≤ r ≤ k − 1. In particular, dist (f, S π) = O(|π| ) for f ∈ C(I), or, more generally, for f ∈ C(I), such, that f (k−1) satisfies a Lipschitz condition, a result proved earlier by different means [2]. These results are shown to be true even if I is permitted to become infinite and some of the knots are permitted to coalesce. The argument is based on a “local” interpolation scheme Pπ by spl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2008
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.02.042