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Box Splines [Applied Mathematical Sciences, 98]

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Specificaties

Objectstaat
Goed: Een boek dat is gelezen, maar zich in goede staat bevindt. De kaft is zeer minimaal beschadigd ...
ISBN
9780387941011
Subject Area
Mathematics
Publication Name
Box Splines
Item Length
9.3 in
Publisher
Springer New York
Subject
Mathematical Analysis
Publication Year
1993
Series
Applied Mathematical Sciences Ser.
Type
Textbook
Format
Hardcover
Language
English
Author
Klaus Höllig, Carl De Boor, Sherman Riemenschneider
Item Width
6.1 in
Item Weight
38.8 Oz
Number of Pages
Xvii, 201 Pages

Over dit product

Product Information

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.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387941010
ISBN-13
9780387941011
eBay Product ID (ePID)
145422

Product Key Features

Author
Klaus Höllig, Carl De Boor, Sherman Riemenschneider
Publication Name
Box Splines
Format
Hardcover
Language
English
Subject
Mathematical Analysis
Publication Year
1993
Series
Applied Mathematical Sciences Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xvii, 201 Pages

Dimensions

Item Length
9.3 in
Item Width
6.1 in
Item Weight
38.8 Oz

Additional Product Features

LCCN
93-005263
Intended Audience
Scholarly & Professional
Series Volume Number
98
Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Table of Content
I * Box splines defined.- II * The linear algebra of box spline spaces.- III * Quasi-interpolants & approximation power.- IV * Cardinal interpolation & difference equations.- V * Approximation by cardinal splines & wavelets.- VI * Discrete box splines & linear diophantine equations.- VII Subdivision algorithms.- References.
Copyright Date
1993
Illustrated
Yes

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