G. Brunnett, H. Bieri, and G. Farin, editors. Geometric Modeling . Springer, 2001. Home/Search Document Not in Database Summary Related Articles Check |
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Lagrange Interpolation by Splines on Triangulations - Nürnberger, Zeilfelder (1998) (Correct)
....with vertex v i or to shift the vertex v i (such that semi singularities disappear) This method yields Lagrange as well as Hermite interpolation sets. Interpolation and Bernstein B ezier Techniques. For proving our results on Lagrange interpolation, we apply Bernstein B ezier techniques (cf. [5, 26, 27]) Given a spline s 2 S r q ( we use the following representation of the polynomial pieces p = sj T 2 q on the triangle T 2 with vertices v 1 ; v 2 and v 3 : p(x; y) X i j k=q a [T ] i;j;k q i j k i 1 (x; y) j 2 (x; y) k 3 (x; y) x; y) 2 T; where 2 1 ; 1; ....
G. Farin, Geometric Modeling, SIAM, Philadelphia, 1987.
Interpolation by Spline Spaces on Classes of Triangulations - Nürnberger, Zeilfelder (2000) (Correct)
....convex quadrangulation with diagonals in [46] where di erent methods are used. 3 Construction of Admissible Sets In this section, we construct admissible sets for spline spaces S r q ( where q 3 if r = 1, and q 5 if r = 2. In order to describe admissible sets we need some notations (cf. [5, 6, 9, 23, 24]) Let T [l] v [l] 1 ; v [l] 2 ; v [l] 3 ) l = 1; N , be the triangles of . For s 2 S r q ( the polynomials p [l] sj T [l] 2 q ; l = 1; N , can be written as p [l] x; y) X i j k=q a [l] i;j;k q i j k i 1 (x; y) j 2 (x; y) k 3 (x; y) ....
G. Farin, Geometric Modeling (SIAM, Philadelphia, 1987).
Scattered Data Interpolation in Three or More Variables - Alfeld (1989) (24 citations) (Correct)
....as possible. However, only primary references are listed at the end of this paper. Their bibliographies should be consulted for further information. A recent extensive bibliography of 1107 entries on multivariate approximation and interpolation is [41] Recent collections of papers include [31] [36], and the five volumes of the CAGD journal that have appeared to date. A rich source of information and ideas is the Winter 1984 issue of the Rocky Mountain Journal of Mathematics which is entirely devoted to multivariate interpolation and approximation problems. It is unlikely that multivariate ....
Farin, G.E., (ed.) Geometric Modeling, SIAM Publication, 1987.
Cv - Farin (2001) Self-citation (Farin) (Correct)
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G. Brunnett, H. Bieri, and G. Farin, editors. Geometric Modeling . Springer, 2001.
Cv - Farin (2001) Self-citation (Farin) (Correct)
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H. Hagen, G. Farin, and H. Noltemeier, editors. Geometric Modeling. Springer, Vienna, 1995.
Cv - Farin (2001) Self-citation (Farin) (Correct)
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G. Farin, H. Hagen, and H. Noltemeier, editors. Geometric Modeling. Springer, Vienna, 1993.
Developments in Bivariate Spline Interpolation - Nürnberger, Zeilfelder (2000) (Correct)
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G. Farin, Geometric Modeling, SIAM, Philadelphia, 1987.
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