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Titlebook: Box Splines; Carl Boor,Klaus H?llig,Sherman Riemenschneider Textbook 1993 Springer Science+Business Media New York 1993 Division.algebra.a

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發(fā)表于 2025-3-21 17:36:59 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Box Splines
影響因子2023Carl Boor,Klaus H?llig,Sherman Riemenschneider
視頻videohttp://file.papertrans.cn/191/190096/190096.mp4
學(xué)科分類Applied Mathematical Sciences
圖書封面Titlebook: Box Splines;  Carl Boor,Klaus H?llig,Sherman Riemenschneider Textbook 1993 Springer Science+Business Media New York 1993 Division.algebra.a
影響因子Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur- faces (in Computer Aided Geometric Design). Since they are compactly supported, their linear span has the needed flexibility to approximate at all, and the systems to be solved in the construction of approximations are ‘banded‘. The construction of compactly supported smooth piecewise polynomials becomes ever more difficult as the dimension, s, of their domain G ~ IRs, i. e. , the number of arguments, increases. In the univariate case, there is only one kind of cell in any useful partition, namely, an interval, and its boundary consists of two separated points, across which polynomial pieces would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num- ber of smoot
Pindex Textbook 1993
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0066-5452 would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num- ber of smoot978-1-4419-2834-4978-1-4757-2244-4Series ISSN 0066-5452 Series E-ISSN 2196-968X
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0066-5452 mooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur
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The Aroma of the Past: In Antipodean London,em is intimately connected to the solution of a multivariate difference equation, and the qualitative properties of the interpolation, its correctness or singularity, are determined by the symbol of the difference equation.
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The Doctrine of Predestination, as the degree tends to infinity. In the second part, we keep the degree (i.e., the direction matrix used) fixed, but allow the mesh width to go to zero, and this includes a discussion of box spline wavelets.
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Box Splines978-1-4757-2244-4Series ISSN 0066-5452 Series E-ISSN 2196-968X
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The Doctrine of Predestination, as the degree tends to infinity. In the second part, we keep the degree (i.e., the direction matrix used) fixed, but allow the mesh width to go to zero, and this includes a discussion of box spline wavelets.
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