Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Günther Nürnberger"'
Autor:
Michael A. Matt, Günther Nürnberger
Publikováno v:
Journal of Approximation Theory. 162:494-511
We describe a local Lagrange interpolation method using cubic (i.e. non-tensor product) C^1 splines on cube partitions with five tetrahedra in each cube. We show, by applying a complex proof, that the interpolation method is local, stable, has optima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7808c7c8a1320b84ae2c5c5472dfe4dc
https://doi.org/10.1016/j.jat.2009.07.009
https://doi.org/10.1016/j.jat.2009.07.009
Publikováno v:
Journal of Approximation Theory. 160:89-102
We describe an algorithm for constructing a Lagrange interpolation pair based on C^1 cubic splines defined on tetrahedral partitions. In particular, given a set of points V@?R^3, we construct a set P containing V and a spline space S"3^1(@?) based on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bec36cde9ebdc42209d6e475442f3c0
https://doi.org/10.1016/j.jat.2008.01.012
https://doi.org/10.1016/j.jat.2008.01.012
Publikováno v:
Journal of Computational and Applied Mathematics. 216:344-363
We develop a local Lagrange interpolation scheme for quartic C^1 splines on triangulations. Given an arbitrary triangulation @D, we decompose @D into pairs of neighboring triangles and add ''diagonals'' to some of these pairs. Only in exceptional cas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d790efc7160dead8cbb81a65188eeaa3
https://doi.org/10.1016/j.cam.2007.05.013
https://doi.org/10.1016/j.cam.2007.05.013
Publikováno v:
Mathematics of Computation. 77:1017-1037
A trivariate Lagrange interpolation method based on C 1 cubic splines is described. The splines are defined over a special refinement of the Freudenthal partition of a cube partition. The interpolating splines are uniquely determined by data values,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82699c93e6f64f91a98900338d3d2e79
https://doi.org/10.1090/s0025-5718-07-02056-x
https://doi.org/10.1090/s0025-5718-07-02056-x
Publikováno v:
SIAM Journal on Mathematical Analysis. 38:347-367
We analyze the structure of trivariate C1 splines on uniform tetrahedral partitions $\Delta$. The Freudenthal partitions $\Delta$ are obtained from uniform cube partitions by using three planes with a common line to subdivide every cube into six tetr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70016ec91da2745509af0e7f17fa23a6
https://doi.org/10.1137/040614980
https://doi.org/10.1137/040614980
Publikováno v:
Constructive Approximation. 23:33-59
We describe a method which can be used to interpolate function values at a set of scattered points in a planar domain using bivariate polynomial splines of any prescribed smoothness. The method starts with an arbitrary given triangulation of the data
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d7da547c55993f39bfb50a8b465c8cc
https://doi.org/10.1007/s00365-005-0600-2
https://doi.org/10.1007/s00365-005-0600-2
Publikováno v:
Computer Aided Geometric Design. 22:221-249
A quasi-interpolation method for quadratic piecewise polynomials in three variables is described which can be used for the efficient reconstruction and visualization of gridded volume data. The Bernstein-Bezier coefficients of the splines are immedia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93df78d38186bf813cd372f6b9ac8802
https://doi.org/10.1016/j.cagd.2004.11.002
https://doi.org/10.1016/j.cagd.2004.11.002
Autor:
Günther Nürnberger, Frank Zeilfelder
Publikováno v:
Advances in Computational Mathematics. 21:381-419
We develop the first local Lagrange interpolation scheme for C1-splines of degree q≥3 on arbitrary triangulations. For doing this, we use a fast coloring algorithm to subdivide about half of the triangles by a Clough–Tocher split in an appropriat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3ce6bc4892b4d4fc02bf8d5710fa4dd
https://doi.org/10.1023/b:acom.0000032043.07621.62
https://doi.org/10.1023/b:acom.0000032043.07621.62
Publikováno v:
Advances in Computational Mathematics. 21:357-380
We describe local Lagrange interpolation methods based on C1 cubic splines on triangulations obtained from arbitrary strictly convex quadrangulations by adding one or two diagonals. Our construction makes use of a fast algorithm for coloring quadrang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::783b5c692767c84c6f77eff3cf77648a
https://doi.org/10.1023/b:acom.0000032044.49282.8a
https://doi.org/10.1023/b:acom.0000032044.49282.8a
Autor:
Oleg Davydov, Günther Nürnberger
Publikováno v:
Journal of Computational and Applied Mathematics. 126(1-2):159-183
Let Δ be an arbitrary regular triangulation of a simply connected compact polygonal domain Ω⊂R2 and let Sq1(Δ) denote the space of bivariate polynomial splines of degree q and smoothness 1 with respect to Δ. We develop an algorithm for construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8eebfee0f760202ebcf4a035f2fd80ad