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| Content Provider | ACM Digital Library |
|---|---|
| Author | Liu, Yingbin Mann, Stephen |
| Abstract | A piecewise quintic interpolation scheme with approximate $G^{1}$ continuity is presented. For a given triangular mesh of arbitrary topology, one quintic triangular Bézier patch is constructed for each data triangle. Although the resulting surface has $G^{1}$ continuity at the data vertices, we only require approximate $G^{1}$ continuity along the patch boundaries so as to lower the patch degree. To reduce the normal discontinuity along boundaries, neighbouring patches are adjusted to have identical normals at the middle point of their common boundary. In most cases, the surfaces generated by this scheme have the same level of visual smoothness compared to an existing sextic $G^{1}$ continuous interpolation scheme. Further, using the new boundary construction method presented in this paper, better shape quality is observed for sparse data sets than the surfaces of the original $G^{1}$ continuous scheme, upon which the new scheme is based. |
| Starting Page | 381 |
| Ending Page | 387 |
| Page Count | 7 |
| File Format | |
| ISBN | 9781605581064 |
| DOI | 10.1145/1364901.1364956 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2008-06-02 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Triangular bézier patches g1 continuity |
| Content Type | Text |
| Resource Type | Article |
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