Point-tangent/point-normal B-spline curve interpolation by geometric algorithms |
| |
Authors: | Shu-ichi Gofuku [Author Vitae]Author Vitae] Takashi Maekawa [Author Vitae] |
| |
Affiliation: | Yokohama National University, Department of Mechanical Engineering, Digital Engineering Laboratory, Japan |
| |
Abstract: | We introduce a novel method to interpolate a set of data points as well as unit tangent vectors or unit normal vectors at the data points by means of a B-spline curve interpolation technique using geometric algorithms. The advantages of our algorithm are that it has a compact representation, it does not require the magnitudes of the tangent vectors or normal vectors, and it has C2 continuity. We compare our method with the conventional curve interpolation methods, namely, the standard point interpolation method, the method introduced by Piegl and Tiller, which interpolates points as well as the first derivatives at every point, and the piecewise cubic Hermite interpolation method. Examples are provided to demonstrate the effectiveness of the proposed algorithms. |
| |
Keywords: | Interpolation Point-normal interpolation Point-tangent interpolation Geometric algorithm B-spline curve |
本文献已被 ScienceDirect 等数据库收录! |
|