Multiresolution indexing of triangulated irregular networks
We show how to build a continuous, one-dimensional index of the points on a triangulated irregular network (TIN). The index is constructed by first finding an ordering of the triangles in which consecutive triangles share a vertex or an edge. Then, the space within each triangle is continuously inde...
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Veröffentlicht in: | IEEE transactions on visualization and computer graphics 2004-07, Vol.10 (4), p.484-495 |
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description | We show how to build a continuous, one-dimensional index of the points on a triangulated irregular network (TIN). The index is constructed by first finding an ordering of the triangles in which consecutive triangles share a vertex or an edge. Then, the space within each triangle is continuously indexed with a space-filling curve that begins at one vertex of the triangle and ends at another. The space-filling curve is oriented such that the first point in each triangle is a vertex shared with the previous triangle and the last point is a vertex shared with the next triangle. Furthermore, our index can be refined locally and, therefore, efficiently when the TIN is augmented by filling any face with another TIN (to make a hierarchical TIN). Such processes arise, for example, in the elaboration of detail on a graphical surface. |
doi_str_mv | 10.1109/TVCG.2004.14 |
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The index is constructed by first finding an ordering of the triangles in which consecutive triangles share a vertex or an edge. Then, the space within each triangle is continuously indexed with a space-filling curve that begins at one vertex of the triangle and ends at another. The space-filling curve is oriented such that the first point in each triangle is a vertex shared with the previous triangle and the last point is a vertex shared with the next triangle. Furthermore, our index can be refined locally and, therefore, efficiently when the TIN is augmented by filling any face with another TIN (to make a hierarchical TIN). Such processes arise, for example, in the elaboration of detail on a graphical surface.</description><subject>Algorithms</subject><subject>Computer Graphics</subject><subject>Filling</subject><subject>Geographic Information Systems</subject><subject>hierarchical triangulation</subject><subject>Image Enhancement - methods</subject><subject>Image Interpretation, Computer-Assisted - methods</subject><subject>Imaging, Three-Dimensional - methods</subject><subject>Indexing</subject><subject>Information retrieval</subject><subject>multiresolution triangulation</subject><subject>Rendering (computer graphics)</subject><subject>Signal Processing, Computer-Assisted</subject><subject>space-filling curve</subject><subject>spatial index</subject><subject>Spatial indexes</subject><subject>Spatial resolution</subject><subject>Strips</subject><subject>Tin</subject><subject>triangle mesh</subject><subject>Triangulated irregular network</subject><issn>1077-2626</issn><issn>1941-0506</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><sourceid>EIF</sourceid><recordid>eNqF0M9LwzAUwPEgis7pzZsgxYMnO19-NQmeZPgLFC_Ta8ja1xHt2pm0qP-9LRsMvHjKC_nwIF9CTihMKAVzNXub3k8YgJhQsUNG1AiagoRst59BqZRlLDsghzG-A1AhtNknB1RLZYySI3L93FWtDxibqmt9Uye-LvDb14ukKZM2eFcvusq1WCQ-BBzmkNTYfjXhIx6RvdJVEY8355i83t3Opg_p08v94_TmKc15Jtu0MHMpSg4MER1jVDutuHQ5cs4FE3PJhCt0yRH6K6O84HPGNEpJlZA5y_mYXKz3rkLz2WFs7dLHHKvK1dh00WaKgzKa_guZ5gYUG-D5H_jedKHuP2G1FqAzyqBHl2uUhybGgKVdBb904cdSsEN6O6S3Q3pLRc_PNju7-RKLLd607sHpGvg-xPaZGa1B8l8gDoZI</recordid><startdate>200407</startdate><enddate>200407</enddate><creator>Bartholdi, J.J.</creator><creator>Goldsman, P.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Algorithms Computer Graphics Filling Geographic Information Systems hierarchical triangulation Image Enhancement - methods Image Interpretation, Computer-Assisted - methods Imaging, Three-Dimensional - methods Indexing Information retrieval multiresolution triangulation Rendering (computer graphics) Signal Processing, Computer-Assisted space-filling curve spatial index Spatial indexes Spatial resolution Strips Tin triangle mesh Triangulated irregular network |
title | Multiresolution indexing of triangulated irregular networks |
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