Corner-based implicit patches
Free-form multi-sided surfaces are often defined by side interpolants (also called ribbons), requiring that the surface has to connect to them with a prescribed degree of smoothness. I-patches represent a family of implicit surfaces defined by an arbitrary number of ribbons. While in the case of par...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2024
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| Sorozat: | Acta cybernetica
26 No. 3 |
| Kulcsszavak: | Számítógépes grafika, Geometriai modellezés, Számítógépes geometria |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.299598 |
| Online Access: | http://acta.bibl.u-szeged.hu/86989 |
| Tartalmi kivonat: | Free-form multi-sided surfaces are often defined by side interpolants (also called ribbons), requiring that the surface has to connect to them with a prescribed degree of smoothness. I-patches represent a family of implicit surfaces defined by an arbitrary number of ribbons. While in the case of parametric surfaces describing ribbons is a well-discussed problem, defining implicit ribbons is a different task. In this paper, we introduce a new representation, corner I-patches, where implicit corner interpolants are blended together. Corner interpolants are usually simpler, lower-degree surfaces than ribbons. The shape of the patch depends on a handful of scalar parameters; constraining them ensures continuity between adjacent patches. Corner I-patches have several favorable properties that can be exploited for design, volume rendering, or cell-based approximation of complex shapes. |
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| Terjedelem/Fizikai jellemzők: | 621-636 |
| ISSN: | 2676-993X |