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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Approximation (G.1.2) > Spline And Piecewise Polynomial Approximation (G.1.2...)
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1-10 of 10
Reviews about "Spline And Piecewise Polynomial Approximation (G.1.2...)":
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Parametrization of approximate algebraic surfaces by lines
Pérez-Díaz S., Sendra J., Sendra J. Computer Aided Geometric Design 22(2): 147-181, 2005. Type: Article
Developing hybrid symbolic-numerical and approximate algorithms for manipulating geometrical objects used in computer-aided geometric design and other fields is of increasing interest. I recommend this paper to all researchers interest...
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Aug 15 2005 |
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 Estimating differential quantities using polynomial fitting of osculating jets
Cazals F., Pouget M. Computer Aided Geometric Design 22(2): 121-146, 2005. Type: Article
This paper considers the problem of estimating differential quantities (for example, slope of a tangent, direction of a normal, curvature, and so on) for curves on the plane and surfaces in three dimensions, from scattered data, using ...
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May 19 2005 |
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Quadratic spline wavelets with arbitrary simple knots on the sphere
Ameur E., Sbibih D. Journal of Computational and Applied Mathematics 162(1): 273-286, 2004. Type: Article
The authors extend a multi-resolution decomposition for an approximating function of the form where {v1
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Dec 13 2004 |
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Uniqueness of best &phgr;-approximation from the set of splines with infinitely many simple knots
Damas A., Marano M. Journal of Approximation Theory 126(1): 60-113, 2004. Type: Article
It is well known that, if 1 < p < ∞, then there exists at most one best Lp-approximation, when approximating from a convex set M. On the other ...
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Aug 16 2004 |
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Interpolation of cones and shape-preserving approximation
Kozlov I. Journal of Approximation Theory 117(1): 23-41, 2002. Type: Article
In this paper, the author presents an interpolation space approach to the new area of quantitative approximation theory, namely, to approximation with constraints, which might be useful in many applications for the multivariate case. T...
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May 30 2003 |
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Box spline prewavelets of small support
Buhmann M., Davydov O. Journal of Approximation Theory 112(1): 16-27, 2001. Type: Article
The authors consider the problem of constructing bivariate and trivariate prewavelets from box spline spaces, specifically, piecewise polynomials of fixed degree on a uniform mesh. Extension to more than three variables is not conside...
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Nov 15 2002 |
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Fast evaluation of vector splines in three dimensions
Chen F., Suter D. Computing 61(3): 189-213, 1998. Type: Article
Vector splines are of great importance in both approximation andgraphical examination of, for example, three-dimensional flow problems.This paper describes an efficient method for the derivation andconstruction of such spline ...
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Feb 1 1999 |
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Box splines
de Boor C., Höllig K., Riemenschneider S., Springer-Verlag New York, Inc., New York, NY, 1993. Type: Book (9780387941011)
Existing approaches to the basic box spline theory are brought together into a complete and coherent work. As the authors assert in the preface, they avoid going beyond this topic. They make a careful selection of the main results in t...
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Dec 1 1994 |
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Generating NURBS curves by envelopes
Wang G. Computing 48(3-4): 275-289, 1992. Type: Article
Wang shows that nonuniform rational B-splines (NURBS) are the envelope of a family of NURBS curves of lower order. Thus NURBS curves can, in principle, be generated recursively and defined in a geometric fashion. Uniqueness is proven....
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Jul 1 1993 |
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Approximation by cubic C1-splines on arbitrary triangulations
Gmelig Meyling R. Numerische Mathematik 51(1): 65-85, 1987. Type: Article
The paper deals with the space S1-3- of piecewise cubic C1 functions defined on an arbitrary triangulation. This space has the distinction (among all C1 spline spaces) of offering the smalles...
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May 1 1988 |
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