Footvector representation of curves and surfaces
This paper proposes a foot mapping-based representation of curves and surfaces which is a geometric generalization of signed distance functions. We present a first-order characterization of the footvector mapping in terms of the differential geometric invariants of the represented shape and quantify...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2021
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| Sorozat: | Acta cybernetica
25 No. 2 |
| Kulcsszavak: | Számítógépes grafika - geometria |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.290145 |
| Online Access: | http://acta.bibl.u-szeged.hu/75623 |
| LEADER | 01898nab a2200265 i 4500 | ||
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| 005 | 20220513084919.0 | ||
| 008 | 220513s2021 hu o 0|| eng d | ||
| 022 | |a 0324-721X | ||
| 024 | 7 | |a 10.14232/actacyb.290145 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Valasek Gábor | |
| 245 | 1 | 0 | |a Footvector representation of curves and surfaces |h [elektronikus dokumentum] / |c Valasek Gábor |
| 260 | |a University of Szeged, Institute of Informatics |b Szeged |c 2021 | ||
| 300 | |a 555-573 | ||
| 490 | 0 | |a Acta cybernetica |v 25 No. 2 | |
| 520 | 3 | |a This paper proposes a foot mapping-based representation of curves and surfaces which is a geometric generalization of signed distance functions. We present a first-order characterization of the footvector mapping in terms of the differential geometric invariants of the represented shape and quantify the dependence of the spatial partial derivatives of the footvector mapping with respect to the principal curvatures at the footpoint. The practical applicability of foot mapping representations is highlighted by several fast iterative methods to compute the exact footvector mapping of the offset surface of CSG trees. The set operations for footpoint mappings are higher-order functions that map a tuple of functions to a single function, which poses a challenge for GPU implementations. We propose a code generation framework to overcome this that transforms CSG trees to the GLSL shader code. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Számítógépes grafika - geometria | ||
| 700 | 0 | 1 | |a Bálint Csaba |e aut |
| 700 | 0 | 1 | |a Leitereg András |e aut |
| 710 | |a Conference of PhD Students in Computer Science (12.) (2020) (Szeged) | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/75623/1/cybernetica_025_numb_002_555-573.pdf |z Dokumentum-elérés |