Search Results - "Zeilfelder, F."

Developments in bivariate spline interpolation by Nürnberger, G., Zeilfelder, F.

“…The aim of this survey is to describe developments in the field of interpolation by bivariate splines. We summarize results on the dimension and the…”
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High-Quality Rendering of Quartic Spline Surfaces on the GPU by Reis, G., Zeilfelder, F., Hering-Bertram, M., Farin, G.E., Hagen, H.

“…We present a novel GPU-based algorithm for high-quality rendering of bivariate spline surfaces. An essential difference to the known methods for rendering…”
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Quasi-interpolation by quadratic piecewise polynomials in three variables by Nürnberger, G., Rössl, C., Seidel, H.-P., Zeilfelder, F.

“…A quasi-interpolation method for quadratic piecewise polynomials in three variables is described which can be used for the efficient reconstruction and…”
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Strong Unicity of Best Uniform Approximations from Periodic Spline Spaces by Zeilfelder, F.

“…In this paper we give a complete characterization of the strongly unique best uniform approximations from periodic spline spaces. We distinguish between…”
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Interpolation by spline spaces on classes of triangulations by Nürnberger, G., Zeilfelder, F.

“…We describe a general method for constructing triangulations Δ which are suitable for interpolation by S q r(Δ), r=1,2 , where S q r ( Δ) denotes the space of…”
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Bivariate spline interpolation with optimal approximation order by DAVYDOV, O, NÜRNBERGER, G, ZEILFELDER, F

“…Let Δ be a triangulation of some polygonal domain Ω ⊂ R2 and let Sqr(Δ) denote the space of all bivariate polynomial splines of smoothness r and degree q with…”
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Approximation order of bivariate spline interpolation for arbitrary smoothness by Davydov, O.V., Nürnberger, G., Zeilfelder, F.

“…By using the algorithm of Nürnberger and Riessinger (1995), we construct Hermite interpolation sets for spaces of bivariate splines S q r ( Δ 1) of arbitrary…”
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Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines by Davydov, Oleg, Zeilfelder, Frank

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Optimal Lagrange interpolation by quartic C1 splines on triangulations by CHUI, C. K, HECKLIN, G, NÜMBERGER, G, ZEILFELDER, F

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Optimal Lagrange interpolation by quartic C 1 splines on triangulations by Chui, C.K., Hecklin, G., Nürnberger, G., Zeilfelder, F.

“…We develop a local Lagrange interpolation scheme for quartic C 1 splines on triangulations. Given an arbitrary triangulation Δ , we decompose Δ into pairs of…”
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Visualization of volume data with quadratic super splines by Rossl, C., Zeilfelder, F., Nurnberger, G., Seidel, H.-P.

“…We develop a new approach to reconstruct non-discrete models from gridded volume samples. As a model, we use quadratic trivariate super splines on a uniform…”
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Lagrange Interpolation by Bivariate C 1 -Splines with Optimal Approximation Order by Nürnberger, Günther, Zeilfelder, Frank

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Fast visualization by shear-warp on quadratic super-spline models using wavelet data decompositions by Schlosser, G., Hesser, J., Zeilfelder, F., Rossl, C., Nurnberger, G., Seidel, H.-P., Manner, R.

“…We develop the first approach Tor interactive volume visualization based on a sophisticated rendering method of shear-warp type, wavelet data encoding…”
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Developments in bivariate spline interpolation: Numerical Analysis in the 20th Century. Vol. I: Approximation Theory by NÜRNBERGER, G, ZEILFELDER, F

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Reconstruction of volume data with quadratic super splines by Rossl, C., Seidel, H.-P., Zeilfeider, F., Nurnberger, G.

“…We propose a new approach to reconstruct nondiscrete models from gridded volume samples. As a model, we use quadratic trivariate super splines on a uniform…”
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Lagrange Interpolation by C 1 Cubic Splines on Triangulated Quadrangulations by Nürnberger, Günther, Schumaker, Larry L., Zeilfelder, Frank

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Local lagrange interpolation with bivariate splines of arbitrary smoothness by NIIMBERGER, Günther, RAYEVSKAYA, Vera, SCHUMAKER, Larry L, ZEILFELDER, Frank

“…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…”
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Dimension of C 1 -splines on type-6 tetrahedral partitions by Hangelbroek, Thomas, Nürnberger, Günther, Rössl, Christian, Seidel, Hans-Peter, Zeilfelder, Frank

“…We consider a linear space of piecewise polynomials in three variables which are globally smooth, i.e. trivariate C 1 -splines of arbitrary polynomial degree…”
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Smooth approximation and rendering of large scattered data sets by Haber, Jörg, Zeilfelder, Frank, Davydov, Oleg, Seidel, Hans Peter

“…We present an efficient method to automatically compute a smooth approximation of large functional scattered data sets given over arbitrarily shaped planar…”
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Smooth approximation and rendering of large scattered data sets by Haber, J., Zeilfelder, F., Davydov, O., Seidel, H.-P.

“…Presents an efficient method to automatically compute a smooth approximation of large functional scattered data sets given over arbitrarily shaped planar…”
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