| Title: | Towards a uni ed approach between digitizations of linear objects and discrete analytical objects |
| Authors: | Lincke, C. Wüthrich, C. A. |
| Citation: | Journal of WSCG. 2000, vol. 8, no. 1-3. |
| Issue Date: | 2000 |
| Publisher: | Václav Skala - UNION Agency |
| Document type: | článek article |
| URI: | http://wscg.zcu.cz/wscg2000/wscg_2000_program.htm http://hdl.handle.net/11025/15956 |
| ISSN: | 1213-6972 (print) 1213-6980 (CD-ROM) 1213-6964 (online) |
| Keywords: | diskrétní geometrie;n-dimenzionální rastrová grafika;digitalizace;morfologie;supercover;aritmetická geometrie;diskrétní analytické objekty;polyedrické množiny;konvexní lineární objekty |
| Keywords in different language: | discrete geometry;n-dimensional raster graphics;digitization;morphology;supercover;arithmetical geometry;discrete analytical objects;polyhedral sets;convex linear objects |
| Abstract in different language: | This paper compares the traditional digitization method as used in Computer Graphics with the arithmetical geometry approach. Digitizations are interpreted as the set of grid points contained in the dilation of a continuous object and a re ected basic domain. We investigate the supercover and derive its analytical description for analytical objects. We prove that the supercover of a convex linear object is a discrete analytical object and provide methods to determine the inequalities defining the supercover. |
| Rights: | © Václav Skala - UNION Agency |
| Appears in Collections: | Volume 8, number 1-3 (2000) |
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