Variable-Radius Blending by Using Gregory Patches in Geo- metric Modeling
| dc.contributor.author | Harada, T. | en_US |
| dc.contributor.author | Konnoa, K. | en_US |
| dc.contributor.author | Chiyokura, H. | en_US |
| dc.date.accessioned | 2015-10-05T07:56:49Z | |
| dc.date.available | 2015-10-05T07:56:49Z | |
| dc.date.issued | 1991 | en_US |
| dc.description.abstract | Blending surfaces, which connect two curved surfaces smoothly, often appear in geometric modeling. Many of the blending surfaces are variable-radius blends. Variableradius blending surfaces are very important in the design process, but it is difficult to generate such surfaces with existing geometric modelers. This paper proposes a new method to generate variable-radius blends. Instead of the popular rolling-ball method, we adopt “sliding-circle” blending. A circle slides on two curved surfaces so that the circle is perpendicular to a specified control curve, and its trajectory defines a blending surface. A variable-radius blend can be generated if the radius of the circle changes smoothly. In our method, the shape of the variable-radius blend is represented by Gregory patches. The Gregory patch is an extension of a Bezier patch and two Gregory patches can be connected together with tangential continuity. The characteristics of the Gregory patch are suitable for representing blending surfaces with geometric modelers. | en_US |
| dc.description.seriesinformation | EG 1991-Technical Papers | en_US |
| dc.identifier.doi | 10.2312/egtp.19911038 | en_US |
| dc.identifier.issn | 1017-4656 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/egtp.19911038 | en_US |
| dc.publisher | Eurographics Association | en_US |
| dc.title | Variable-Radius Blending by Using Gregory Patches in Geo- metric Modeling | en_US |