| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4637888 | Journal of Computational and Applied Mathematics | 2016 | 10 Pages |
Abstract
The injectivity of NURBS curve implies the curve has no self-intersection. In this paper, we propose a geometric condition on the control polygon which guarantees the NURBS curve to be injective for all possible choices of positive weights. The proof is based on the degree elevation algorithm and toric degeneration theory of NURBS curve.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xuan-Yi Zhao, Chun-Gang Zhu,