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...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2019
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| 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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 17-28 |
| ISSN: | 0324-721X |