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Titlebook: Geometric Modelling; Dagstuhl 1993 H. Hagen,G. Farin,H. Noltemeier Conference proceedings 1995 Springer-Verlag/Wien 1995 Nurbs.Spline.Splin

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Localized Radial Basis Methods Using Rational Triangle Patches,these radial basis methods is that they are not local and they are computationally expensive and unstable if there are a large number of data points. We present a localized interpolation method that involves partitioning the data into arbitrary overlapping triangular regions based on arbitrary point
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Repeated Knots in Least Squares Multiquadric Functions,ation of scattered data by multiquadric functions. In this paper we observe that this leads naturally to the inclusion of derivatives of the multiquadric basis function in the approximation, and give an algorithm for accomplishing this. A comparison of the results obtained with this algorithm and th
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A Quartic Spline Based on a Variational Approach,tly different variational problem that depends on the input data. The goal is to obtain a spline that may have high second derivatives at the interpolated points and low second derivatives between two consecutive interpolated points. The solution is a .. continuous quartic spline.
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A Knowledge-Based System for Geometric Design,roblem formulation knowledge serves to classify the problem type according to statements given by the user about geometric data, mathematical representation, criterion function and discrete as well as integral constraints. Problem solution knowledge pertains to the choice of adequate problem solvers
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,New Work – eine neue Zeit bricht an,lied to show that the Generalized Ball basis of degree . is always unimodal whenever . is odd and is never unimodal whenever . is even except for the cases . = 2, 4. A new proof of the unimodality of the Bernstein basis is also provided.
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https://doi.org/10.1007/978-3-658-44655-0oth blending and rendering of trimmed patches. This article reviews existing strategies that provide solutions to these problems and presents a new method that uses Coons’ patches for geometric redefinition of trimmed tensor product surfaces.
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