Spline Functions on Triangulations
Larry L Schumaker author Ming-Jun Lai author
Format:Hardback
Publisher:Cambridge University Press
Published:19th Apr '07
Currently unavailable, and unfortunately no date known when it will be back
Comprehensive graduate text offering a detailed mathematical treatment of polynomial splines on triangulations.
Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. A detailed mathematical treatment of polynomial splines on triangulations is outlined in this text, providing a basis for developing practical methods for using splines in numerous application areas.Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-Bézier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geometric design or in finite-element methods.
'If you need to know anything about multivariate splines this book will be yur first and surest source of information for years to come.' Mathematical Reviews
ISBN: 9780521875929
Dimensions: 240mm x 165mm x 42mm
Weight: 998g
608 pages