Covers theory of multivariate spline spaces for advanced mathematical understanding
Includes rational splines and piecewise algebraic varieties for versatile applications
Discusses piecewise algebraic curves and surfaces for geometric modeling
Applies to finite element methods and computer aided geometric design for practical use
Features new results for researchers and graduate students in the field
Summarized by Shop
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-aid