Affiliation:
1. Shenyang Normal University
2. Hebei Normal University for Nationalities
Abstract
Determining regularity and convexity of NURBS curves is necessary in computer aided geometric design. In this paper, the problems above are converted to the questions related to polynomials. Then based on properties of algebraic equations and isolation theorem of roots, a simple and practical method for determining those geometric properties of NURBS curves is put forward. Compared with traditional method it will save us much computation
Publisher
Trans Tech Publications, Ltd.
Reference8 articles.
1. F.Z. Shi: Computer Aided Geometric Design and N-Uniform Rational B-spline, in Chinese, (2001).
2. I. Juhasz, M. Hoffmann, Computer-Aided Design, vol. 36(2004), pp.437-445.
3. M. Pourazady, X. Xu, Advances in Engineering Software, vol. 31(2000), pp.107-118.
4. L. Diegl, M. Tiller, The NURBS Book, splinger, Berlin, (1997).
5. L. Z. Nie, S.S. Ding, Introduction to Algebraic, in Chinses, Higher Education press, Beijing, 2000.