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Blending Quadric Surfaces via a Base Curve Method
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cheng, Jinsan |
| Copyright Year | 2003 |
| Abstract | A method for blending surfaces ( implicit or parametric) is introduced. The blending surface is defined by a collection of curves generated through the same base curve and has a parametric representation. Here the given surfaces are not restricted to any particular type of surface representation as long as they have a well-defined and continuous normal vector at each point of their blending boundaries. In this paper, we mainly discussed the blending problems of quadratic surfaces. In particular, we derive the uniform parametric blending surface for six quadratic surfaces with closed blending boundaries at the first time. We also use the method to solve n-way quadratic closed surfaces blending. The method is extensible to blend general surfaces, although we concentrate on quadratic surfaces. |
| Starting Page | 77 |
| Ending Page | 86 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1142/9789812704436_0007 |
| Alternate Webpage(s) | http://www.mmrc.iss.ac.cn/pub/mm21.pdf/cheng.pdf |
| Alternate Webpage(s) | https://doi.org/10.1142/9789812704436_0007 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
