Ebook: Multivariate Spline Functions and Their Applications
Author: Ren-Hong Wang (auth.)
- Tags: Approximations and Expansions, Computational Mathematics and Numerical Analysis, Numeric Computing, Image Processing and Computer Vision, Engineering Design
- Series: Mathematics and Its Applications 529
- Year: 2001
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given.
Audience: 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.
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given.
Audience: 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.
Content:
Front Matter....Pages i-xi
Introduction to Multivariate Spline Functions....Pages 1-26
Multivariate spline spaces....Pages 27-118
Other methods for studying multivariate spline functions....Pages 119-162
Higher-dimensional spline spaces....Pages 163-246
Rational spline functions....Pages 247-300
Piecewise algebraic curves and surfaces....Pages 301-372
Applications of multivariate spline functions in finite element method and CAGD....Pages 373-494
Back Matter....Pages 495-511
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given.
Audience: 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.
Content:
Front Matter....Pages i-xi
Introduction to Multivariate Spline Functions....Pages 1-26
Multivariate spline spaces....Pages 27-118
Other methods for studying multivariate spline functions....Pages 119-162
Higher-dimensional spline spaces....Pages 163-246
Rational spline functions....Pages 247-300
Piecewise algebraic curves and surfaces....Pages 301-372
Applications of multivariate spline functions in finite element method and CAGD....Pages 373-494
Back Matter....Pages 495-511
....
Audience: 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.
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given.
Audience: 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.
Content:
Front Matter....Pages i-xi
Introduction to Multivariate Spline Functions....Pages 1-26
Multivariate spline spaces....Pages 27-118
Other methods for studying multivariate spline functions....Pages 119-162
Higher-dimensional spline spaces....Pages 163-246
Rational spline functions....Pages 247-300
Piecewise algebraic curves and surfaces....Pages 301-372
Applications of multivariate spline functions in finite element method and CAGD....Pages 373-494
Back Matter....Pages 495-511
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given.
Audience: 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.
Content:
Front Matter....Pages i-xi
Introduction to Multivariate Spline Functions....Pages 1-26
Multivariate spline spaces....Pages 27-118
Other methods for studying multivariate spline functions....Pages 119-162
Higher-dimensional spline spaces....Pages 163-246
Rational spline functions....Pages 247-300
Piecewise algebraic curves and surfaces....Pages 301-372
Applications of multivariate spline functions in finite element method and CAGD....Pages 373-494
Back Matter....Pages 495-511
....
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