Results 31 to 40 of about 86 (82)
Energy wavelet analysis of time series
In this paperwe will approach the analysis of time series by the discrete Haar wavelet trasnform and by the energy distribution. it is shown that the wavelet coefficients are strictly related to the scheme of finite differences, thus giving information ...
Ciancio, Armando, Cattani, Carlo
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Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Buffa A +4 more
europepmc +1 more source
Dimension and Local Bases of Homogeneous Spline Spaces
. Recently, we have introduced spaces of splines defined on triangulations lying on the sphere or on sphere-like surfaces. These spaces arose out of a new kind of Bernstein-B'ezier theory on such surfaces.
Marian Neamtu +2 more
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Best Near-Interpolation By Curves: Existence And Convergence
. In this paper, the conditions derived in [10] for the existence of minimizers to the nonlinear problem of best \interpolation" by curves are extended to the problem of best \near-interpolation" by curves that meet arbitrary sets, such as ...
Scott N. Kersey
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On Multi-Level Bases for Elliptic Boundary Value Problems
We study the multi-level method for preconditioning a linear system arising from a Galerkin discretization method of an elliptic boundary value problem of order 2r. The solution is approximated in the spline space S 0 1 (4 n ) when r = 1 and S r\Gamma1
Paul Wenston +3 more
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: This paper presents a general construction of compactly supported biorthogonal wavelets in L 2 (IR s ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets of increasing smoothness is provided.
Sherman D. Riemenschneider, Zuowei Shen
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The Apolar Bilinear Form in Geometric Modeling
Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed degree, already known in 19th century invariant theory.
Gert Vegter
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Approximation by Radial Basis Functions with Finitely Many Centers
: Interpolation by translates of "radial" basis functions \Phi is optimal in the sense that it minimizes the pointwise error functional among all comparable quasi--interpolants on a certain "native" space of functions F \Phi .
Schaback, Robert, Robert Schaback
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Splines on Riemannian Manifolds and a Proof of a Conjecture by Wahba
This paper extends spline methods to compact Riemannian manifolds in an rkhs setting. The approach is to use the mathematical framework of rkhs, along with integrating spectral geometry associated with compact Riemannian manifolds.
Peter T. Kim
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Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations
: In this paper we establish linear independence and stability of certain piecewise linear prewavelets over arbitrary bounded triangulations. These prewavelets are natural generalizations of the locally supported element constructed by Kotyczka and ...
Ewald G. Quak, Michael S. Floater
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