Box Splines

Released on by Carl de Boor
preview-18

  • Box Splines Book Detail

  • Author : Carl de Boor
  • Release Date : 2013-03-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 216
  • ISBN 13 : 1475722443
  • File Size : 67,67 MB
DOWNLOAD BOOK

Box Splines by Carl de Boor PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Box Splines books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Box Splines

Box Splines

File Size : 55,55 MB
Total View : 4324 Views
DOWNLOAD

Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of o

Handbook of Splines

Handbook of Splines

File Size : 8,8 MB
Total View : 4427 Views
DOWNLOAD

The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizi

Geometric Modeling with Splines

Geometric Modeling with Splines

File Size : 48,48 MB
Total View : 1910 Views
DOWNLOAD

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the n