期刊
RESULTS IN MATHEMATICS
卷 72, 期 3, 页码 1055-1071出版社
SPRINGER BASEL AG
DOI: 10.1007/s00025-016-0545-8
关键词
H-Bezier curves; H-B spline curves; Shape parameter; Offset curves; Approximation of curve; Chebyshev polynomial
资金
- National Natural Science Foundation of China [51305344, 11426173]
- Department of Science of Shaanxi, China [2013JK1029]
- Department of Education of Shaanxi, China [2013JK1029]
In this paper, two methods for approximation of offset curves of H-B,zier curves and H-B spline curves are presented, which are based on the approximation of shifting control points and norm of parametric speed. Firstly, after calculating the perturbed vectors, the offset curve can be obtained by shifting the control points of the base curve. Then, both the Chebyshev approximation and optimal trigonometric polynomials approximation of parametric speed of base curve are presented, and two approximation functions of offset curves are also obtained. Finally, some examples are used to demonstrate their practicality.
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