Results 21 to 30 of about 65 (65)
, 2007 : 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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Shape Preserving Properties and Convergence of Univariate Multiquadric Quasi-Interpolation
, 1994 : With a suitable modification at the endpoints of the range, quasi--interpolation with univariate multiquadrics OE(x) = p c 2 + x 2 is shown to preserve convexity and monotonicity. If h is the maximum distance of centres, convergence of the quasi--
Schaback, Robert +3 more
core +1 more source
Approximation From Shift-Invariant Subspaces of ...
, 1991 : A complete characterization is given of closed shift-invariant subspaces of L 2 (IR d ) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of ...
Amos Ron, Ronald A. Devore, Carl de Boor
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Multidimensional Interpolatory Subdivision Schemes
, 1996 . This paper presents a general construction of multidimensional interpolatory subdivision schemes. In particular, we provide a concrete method for the construction of bivariate interpolatory subdivision schemes of increasing smoothness by finding an ...
Sherman D. Riemenschneider, Zuowei Shen
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Splines on Riemannian Manifolds and a Proof of a Conjecture by Wahba
, 1999 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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, 1995 A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton's result on wavelet tight frames in L (IR) is generalized to the n-dimensional case.
Bin Han
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Monotonicity Preservation on Triangles
, 1997 : It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate functions on a triangle.
Michael S. Floater +2 more
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The Apolar Bilinear Form in Geometric Modeling
, 1998 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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Compactly supported tight affine spline frames in L 2 (R d )
, 1996 The theory of [RS2] is applied to yield compactly supported tight affine frames (wavelets) in L 2 (IR d ) from box splines. The wavelets obtained are smooth piecewisepolynomials on a simple mesh; furthermore, they exhibit a wealth of symmetries, and ...
Amos Ron, Zuowei Shen
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Multidimensional Interpolatory Subdivision Schemes
: This paper presents a general construction of multidimensional interpolatory subdivision schemes. In particular, we provide a concrete method for the construction of bivariate interpolatory subdivision schemes of increasing smoothness by finding an ...
Sherman D. Riemenschneider, Zuowei Shen
core