Operations on signed distance functions
We present a theoretical overview of signed distance functions and analyze how this representation changes when applying an offset transformation. First, we analyze the properties of signed distance and the sets they describe. Second, we introduce our main theorem regarding the distance to an offset...
Elmentve itt :
| Szerzők: | |
|---|---|
| Testületi szerző: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2019
|
| Sorozat: | Acta cybernetica
24 No. 1 |
| Kulcsszavak: | Számítógépes grafika, Számítástechnika |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.24.1.2019.3 |
| Online Access: | http://acta.bibl.u-szeged.hu/59225 |
| LEADER | 01637nab a2200265 i 4500 | ||
|---|---|---|---|
| 001 | acta59225 | ||
| 005 | 20220621085238.0 | ||
| 008 | 190717s2019 hu o 0|| eng d | ||
| 022 | |a 0324-721X | ||
| 024 | 7 | |a 10.14232/actacyb.24.1.2019.3 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Bálint Csaba | |
| 245 | 1 | 0 | |a Operations on signed distance functions |h [elektronikus dokumentum] / |c Bálint Csaba |
| 260 | |a University of Szeged, Institute of Informatics |b Szeged |c 2019 | ||
| 300 | |a 17-28 | ||
| 490 | 0 | |a Acta cybernetica |v 24 No. 1 | |
| 520 | 3 | |a We present a theoretical overview of signed distance functions and analyze how this representation changes when applying an offset transformation. First, we analyze the properties of signed distance and the sets they describe. Second, we introduce our main theorem regarding the distance to an offset set in (X, || · ||) strictly normed Banach spaces. An offset set of D ⊆ X is the set of points equidistant to D. We show when such a set can be represented by f(x) − c = 0, where c 6= 0 denotes the radius of the offset. Finally, we apply these results to gain a deeper insight into offsetting surfaces defined by signed distance functions. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Számítógépes grafika, Számítástechnika | ||
| 700 | 0 | 1 | |a Valasek Gábor |e aut |
| 700 | 0 | 1 | |a Gergó Lajos |e aut |
| 710 | |a Conference of PhD students in computer science (11.) (2018) (Szeged) | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/59225/1/actacyb_24_1_2019_017_028.pdf |z Dokumentum-elérés |