Nonsplitting Macro Patches for Implicit Cubic Spline Surfaces
| dc.contributor.author | Guo, B. | en_US |
| dc.date.accessioned | 2014-10-21T07:25:42Z | |
| dc.date.available | 2014-10-21T07:25:42Z | |
| dc.date.issued | 1993 | en_US |
| dc.description.abstract | Macro patches are important for generating quadric or cubic implicit spline surfaces from the input of a polyhedron. All existing macro patches split the triangular facets of the polyhedron- this paper presents cubic nonsplitting macro patches (NMP) that do not split these facets. The NMP s are based on a necessary and sufficient condition for nonsplitting constructions of implicit cubic spline surfaces. This condition can be satisfied for most practical applications, so the NMP s lead to an efficient and powerful spline surface scheme using implicit cubics. The free parameters in an NMP are set using a new technique for excluding topological anomalies such as extraneous sheets, splits, unwanted holes, self-intersections, and unwanted handles. Each cubic patch obtained by this technique best approximates, in a least-squares sense, a quadric patch from a single algebraic component of a monotone polynomial derived from the input data. | en_US |
| dc.description.number | 3 | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 12 | en_US |
| dc.identifier.doi | 10.1111/1467-8659.1230433 | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.pages | 433-445 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/1467-8659.1230433 | en_US |
| dc.publisher | Blackwell Science Ltd and the Eurographics Association | en_US |
| dc.title | Nonsplitting Macro Patches for Implicit Cubic Spline Surfaces | en_US |