Author: Renhong Wang
Language: English
ISBN/ISSN: 7030078977
Published on: 2001-01
Hardcover
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher dimensional spline, rational spline, piecewise algebraic variety (including piecewise algebraic curve and surface) and applications in the finite element method and computer aided geometric design. Many new results are given.
Language: English
ISBN/ISSN: 7030078977
Published on: 2001-01
Hardcover
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher dimensional spline, rational spline, piecewise algebraic variety (including piecewise algebraic curve and surface) and applications in the finite element method and computer aided geometric design. Many new results are given.
This volume will be of interest to researchers and graduate students whose work involves approximations and expansions, numerical analysis, computational geometry, image processing and CAD/CAM.
【Contents】
Chapter 1 Introduction to multivariate spline functions
Chapter 2 Multivariate spline spaces
Chapter 3 Other methods for studying multivariate spline functions
Chapter 4 Higher-dimensional spline spaces
Chapter 5 Rational spline functions
Chapter 6 Piecewise algebraic curves and surfaces
Chapter 7 Applications of multivariate spline functions in finite element method and CAGD