Results 31 to 40 of about 65 (65)
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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, 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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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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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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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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Adaptive algorithm for polyhedral approximation of 3D solids
, 2015 In this paper we discuss theoretical foundations of developing general methods for volume-based approximation of three-dimensional solids. We construct an iterative method that can be used for approximation of regular subsets of Rd (d 2 N) in particular ...
FÁBIÁN, Gábor, GERGŐ, Lajos
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Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations
, 1999 : 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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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
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Stable Spectral Methods For Conservation Laws On Triangles With Unstructured Grids
, 1997 . This paper presents an asymptotically stable scheme for the spectral approximation of linear conservation laws defined on a triangle. Lagrange interpolation on a general two-dimensional nodal set is employed and, by imposing the boundary conditions ...
D. Gottlieb, J. S. Hesthaven
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Construction of compactly supported biorthogonal wavelets in L<sub>2</sub>(R<sup>s</sup>)
, 1997 : 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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