Interpolating an Unlimited Number of Curves Meeting at Extraordinary Points on Subdivision Surfaces*
| dc.contributor.author | Nasri, Ahmed H. | en_US |
| dc.date.accessioned | 2015-02-16T07:30:19Z | |
| dc.date.available | 2015-02-16T07:30:19Z | |
| dc.date.issued | 2003 | en_US |
| dc.description.abstract | Interpolating curves by subdivision surfaces is one of the major constraints that is partially addressed in the literature. So far, no more than two intersecting curves can be interpolated by a subdivision surface such as Doo-Sabin or Catmull-Clark surfaces. One approach that has been used in both of theses surfaces is the polygonal complex approach where a curve can be defined by a control mesh rather than a control polygon. Such a definition allows a curve to carry with it cross derivative information which can be naturally embodied in the mesh of a subdivision surface. This paper extends the use of this approach to interpolate an unlimited number of curves meeting at an extraordinary point on a subdivision surface. At that point, the curves can all meet with eitherC0orC1continuity, yet still have common tangent plane. A straight forward application is the generation of subdivision surfaces through 3-regular meshes of curves for which an easy interface can be used. | en_US |
| dc.description.number | 1 | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 22 | en_US |
| dc.identifier.doi | 10.1111/1467-8659.t01-1-00648 | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.pages | 87-97 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/1467-8659.t01-1-00648 | en_US |
| dc.publisher | Blackwell Publishers, Inc and the Eurographics Association | en_US |
| dc.title | Interpolating an Unlimited Number of Curves Meeting at Extraordinary Points on Subdivision Surfaces* | en_US |