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 ...
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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 smoothness conditions across such a breakpoint should not exceed the polynomial degree (since that would force the two joining polynomial pieces to coincide). In particular, on any partition, there are (nontrivial) compactly supported piecewise polynomials of degree ~ k and in C(k-l), of which the univariate B-spline is the most useful example.
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Add this copy of Box Splines to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2010 by Springer-Verlag New York Inc..
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New. 201 p. Applied Mathematical Sciences , 98. 68 Illustrations, black and white; XVII, 201 p. 68 illus. Intended for professional and scholarly audience.
Add this copy of Box Splines (Applied Mathematical Sciences, 98) to cart. $80.89, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Springer.
Add this copy of Box Splines (Applied Mathematical Sciences, 98) to cart. $118.50, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Springer.
Add this copy of Box Splines (Applied Mathematical Sciences, 98) to cart. $21.22, good condition, Sold by Bulk Book Warehouse rated 5.0 out of 5 stars, ships from Rotterdam, NY, UNITED STATES, published 1993 by Springer.
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Good. Shows minimal wear such as frayed or folded edges, minor rips and tears, and/or slightly worn binding. May have stickers and/or contain inscription on title page. No observed missing pages.
Add this copy of Box Splines to cart. $26.48, good condition, Sold by Hay-on-Wye Booksellers rated 3.0 out of 5 stars, ships from Hereford, UNITED KINGDOM, published 1993 by Springer.
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Good. A clean copy, some foxing to the outer edge of the pages content not affected. Previous owners name inside the cover and on intro page.. Sewn binding. Cloth over boards. 201 p. Contains: Unspecified, Illustrations, black & white. Applied Mathematical Sciences, 98.
Add this copy of Box Splines to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1993 by Springer.
Add this copy of Box Splines (Applied Mathematical Sciences, 98) to cart. $55.66, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1993 by Springer.
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Fine. Sewn binding. Cloth over boards. 201 p. Contains: Unspecified, Illustrations, black & white. Applied Mathematical Sciences, 98. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.