Methods of Shape-Preserving Spline Approximation (Hardcover) (ISBN-13: 9789810240103)

This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces.Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.

Author: Boris I. Kvasov
ISBN-10: 9810240104
ISBN-13: 9789810240103
Publisher: World Scientific Publishing Company
Language: English
Published: 07/26/2000
Pages: 356
Format: Hardcover
Weight: 1.46lbs
Size: 8.85h x 6.43w x 1.07d