| Unbalanced Hermite interpolation with Tschirnhausen cubics | |
| Yong, JH ; Su, H | |
| 2010-05-07 ; 2010-05-07 | |
| 会议名称 | COMPUTATIONAL AND INFORMATION SCIENCE, PROCEEDINGS ; 1st International Symposium oncomputational and Information Science ; Shanghai, PEOPLES R CHINA ; Web of Science ; INSPEC |
| 关键词 | Hermite pythagorean hodograph absolute rotation number Computer Science, Theory & Methods |
| 中文摘要 | A method for constructing a cubic Pythagorean hodograph (PH) curve (called a Tschirnhausen cubic curve as well) satisfying unbalanced Hermite interpolation conditions is presented. The resultant curve interpolates two given end points, and has a given vector as the tangent vector at the starting point. The generation method is based on complex number calculation. Resultant curves are represented in a Bezier form. Our result shows that there are two Tschirnhausen cubic curves fulfilling the unbalanced Hermite interpolation conditions. An explicit formula for calculating the absolute rotation number is provided to select the better curve from the two Tschirnhausen cubic curves. Examples are given as well to illustrate the method proposed in this paper. |
| 会议录出版者 | SPRINGER-VERLAG BERLIN ; BERLIN ; HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY |
| 语种 | 英语 ; 英语 |
| 内容类型 | 会议论文 |
| 源URL | [http://hdl.handle.net/123456789/17047]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Yong, JH,Su, H. Unbalanced Hermite interpolation with Tschirnhausen cubics[C]. 见:COMPUTATIONAL AND INFORMATION SCIENCE, PROCEEDINGS, 1st International Symposium oncomputational and Information Science, Shanghai, PEOPLES R CHINA, Web of Science, INSPEC. |
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