Abstract
We present a method able to deliver smooth solutions to the “one-to-many" local reconstruction problem for cases where one of the planes is populated with many, possibly tortuous and densely packed, contours.
The method exploits the proximity information contained in the Voronoi diagram, the concept of the surrounding curve and the notion of discrete Fréchet distance, along with T-splines technology for delivering an at least G1 -smooth surface interpolant to the “one-to-many” branching problem, that deviates from the given contours less than a user specified tolerance and is C2 everywhere except from the neighborhood of extraordinary points, where smoothness degrades to G1 level. Additionally, the applied surface construction enables a rather straightforward volumetric meshing of the object’s interior
The method exploits the proximity information contained in the Voronoi diagram, the concept of the surrounding curve and the notion of discrete Fréchet distance, along with T-splines technology for delivering an at least G1 -smooth surface interpolant to the “one-to-many” branching problem, that deviates from the given contours less than a user specified tolerance and is C2 everywhere except from the neighborhood of extraordinary points, where smoothness degrades to G1 level. Additionally, the applied surface construction enables a rather straightforward volumetric meshing of the object’s interior
| Original language | English |
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| Number of pages | 38 |
| Publication status | Published - 10 Oct 2016 |
| Event | USACM Thematic Conference on Isogeometric Analysis and Meshfree Methods - La Jolla, California, United States Duration: 10 Oct 2016 → 12 Dec 2016 http://iga-mf.usacm.org/ |
Conference
| Conference | USACM Thematic Conference on Isogeometric Analysis and Meshfree Methods |
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| Country/Territory | United States |
| Period | 10/10/16 → 12/12/16 |
| Internet address |
Keywords
- T-splines
- proximity information
- Voronoi diagram