Geometric ambiguities in boundary representations:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Ithaca, New York
1986
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| Schriftenreihe: | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report
725 |
| Schlagwörter: | |
| Abstract: | Boundary representations are usually separated into two components, a topological component and a geometric component. The conditions necessary to insure that the topological component is unambiguous are well understood. However, in algebriac modeling systems (as opposed to polyhedral modeling systems), an unambiguous topological structure can have noncongruent geometric interpretations with identical vertex coordinates, face equations and edge descriptions using the usual representation of edges as the intersection of faces along with tangent vectors at vertices. This means that the conversion of a CSG tree that unambiguously describes a solid can lead to an ambiguous boundary representations unless additional information is retained in the boundary representation. This paper examines the source of these ambiguities and presents one method for their elimination. |
| Umfang: | 12 S. |
Internformat
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| 100 | 1 | |a Hoffmann, Christoph |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometric ambiguities in boundary representations |c Christoph Hoffmann ; John Hopcroft |
| 264 | 1 | |a Ithaca, New York |c 1986 | |
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| 490 | 1 | |a Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |v 725 | |
| 520 | 3 | |a Boundary representations are usually separated into two components, a topological component and a geometric component. The conditions necessary to insure that the topological component is unambiguous are well understood. However, in algebriac modeling systems (as opposed to polyhedral modeling systems), an unambiguous topological structure can have noncongruent geometric interpretations with identical vertex coordinates, face equations and edge descriptions using the usual representation of edges as the intersection of faces along with tangent vectors at vertices. This means that the conversion of a CSG tree that unambiguously describes a solid can lead to an ambiguous boundary representations unless additional information is retained in the boundary representation. This paper examines the source of these ambiguities and presents one method for their elimination. | |
| 650 | 4 | |a Geometry | |
| 650 | 4 | |a Topology | |
| 700 | 1 | |a Hopcroft, John E. |d 1939- |e Verfasser |0 (DE-588)112071481 |4 aut | |
| 810 | 2 | |a Department of Computer Science: Technical report |t Cornell University <Ithaca, NY> |v 725 |w (DE-604)BV006185504 |9 725 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007063638 | |
Datensatz im Suchindex
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|---|---|
| DE-BY-TUM_katkey | 668369 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010109645 |
| _version_ | 1821931278053670914 |
| any_adam_object | |
| author | Hoffmann, Christoph Hopcroft, John E. 1939- |
| author_GND | (DE-588)112071481 |
| author_facet | Hoffmann, Christoph Hopcroft, John E. 1939- |
| author_role | aut aut |
| author_sort | Hoffmann, Christoph |
| author_variant | c h ch j e h je jeh |
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| bvnumber | BV010592807 |
| ctrlnum | (OCoLC)14706149 (DE-599)BVBBV010592807 |
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| id | DE-604.BV010592807 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:57:15Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007063638 |
| oclc_num | 14706149 |
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| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 12 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| record_format | marc |
| series2 | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |
| spellingShingle | Hoffmann, Christoph Hopcroft, John E. 1939- Geometric ambiguities in boundary representations Geometry Topology |
| title | Geometric ambiguities in boundary representations |
| title_auth | Geometric ambiguities in boundary representations |
| title_exact_search | Geometric ambiguities in boundary representations |
| title_full | Geometric ambiguities in boundary representations Christoph Hoffmann ; John Hopcroft |
| title_fullStr | Geometric ambiguities in boundary representations Christoph Hoffmann ; John Hopcroft |
| title_full_unstemmed | Geometric ambiguities in boundary representations Christoph Hoffmann ; John Hopcroft |
| title_short | Geometric ambiguities in boundary representations |
| title_sort | geometric ambiguities in boundary representations |
| topic | Geometry Topology |
| topic_facet | Geometry Topology |
| volume_link | (DE-604)BV006185504 |
| work_keys_str_mv | AT hoffmannchristoph geometricambiguitiesinboundaryrepresentations AT hopcroftjohne geometricambiguitiesinboundaryrepresentations |
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik, Berichte
| Signatur: |
0111 2001 B 6052-725 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |