Multiresolution for algebraic curves and surfaces using wavelets
This paper describes a multiresolution method for implicit curves and surfaces. The method is based on wavelets, and is able to simplify the topology. The implicit curves and surfaces are defined as the zero-valued algebraic isosurface of a tensor-product uniform cubic Bspline. A wavelet multiresolu...
| Authors: | ; ; |
|---|---|
| Format: | Report |
| Publication date: | 1998 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/84908 |
| Online Access: | https://hdl.handle.net/2117/84908 |
| Access Level: | Open access |
| Keyword: | Geometric modeling Algebraic surfaces Wavelets Multiresolution Topological simplification Conversion algorithms Àrees temàtiques de la UPC::Informàtica::Infografia |
| _version_ | 1878729284178149376 |
|---|---|
| author | Esteve Cusiné, Jordi |
| author2 | Brunet Crosa, Pere|||0000-0001-8406-1975 Vinacua Pla, Álvaro|||0000-0001-8984-4311 |
| author2_role | author author |
| author_browse | Brunet Crosa, Pere|||0000-0001-8406-1975 Esteve Cusiné, Jordi Vinacua Pla, Álvaro|||0000-0001-8984-4311 |
| author_facet | Esteve Cusiné, Jordi Brunet Crosa, Pere|||0000-0001-8406-1975 Vinacua Pla, Álvaro|||0000-0001-8984-4311 |
| author_role | author |
| collection | UPCommons. Portal del coneixement obert de la UPC |
| description | This paper describes a multiresolution method for implicit curves and surfaces. The method is based on wavelets, and is able to simplify the topology. The implicit curves and surfaces are defined as the zero-valued algebraic isosurface of a tensor-product uniform cubic Bspline. A wavelet multiresolution method that deals with uniform cubic Bsplines on bounded domains has been constructed. Further, the report explains how to set the unknown coefficients to produce the most compact object, how to recover the initial object, a suitable data structure and, finally, points out several improvements that might produce better results. |
| eu_rights_str_mv | openAccess |
| format | report |
| id | ES_04e89f195dc5fa2bd3ea25df92db1c22 |
| institution | Universitat Politècnica de Catalunya (UPC) |
| instname_str | Universitat Politècnica de Catalunya (UPC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:upcommons.upc.edu:2117/84908 |
| publishDate | 1998 |
| publishDateSort | 1998 |
| reponame_str | UPCommons. Portal del coneixement obert de la UPC |
| spelling | Multiresolution for algebraic curves and surfaces using wavelets Esteve Cusiné, Jordi Brunet Crosa, Pere|||0000-0001-8406-1975 Vinacua Pla, Álvaro|||0000-0001-8984-4311 Geometric modeling Algebraic surfaces Wavelets Multiresolution Topological simplification Conversion algorithms Àrees temàtiques de la UPC::Informàtica::Infografia This paper describes a multiresolution method for implicit curves and surfaces. The method is based on wavelets, and is able to simplify the topology. The implicit curves and surfaces are defined as the zero-valued algebraic isosurface of a tensor-product uniform cubic Bspline. A wavelet multiresolution method that deals with uniform cubic Bsplines on bounded domains has been constructed. Further, the report explains how to set the unknown coefficients to produce the most compact object, how to recover the initial object, a suitable data structure and, finally, points out several improvements that might produce better results. https://hdl.handle.net/2117/84908 |
| spellingShingle | Multiresolution for algebraic curves and surfaces using wavelets Esteve Cusiné, Jordi Geometric modeling Algebraic surfaces Wavelets Multiresolution Topological simplification Conversion algorithms Àrees temàtiques de la UPC::Informàtica::Infografia |
| title | Multiresolution for algebraic curves and surfaces using wavelets |
| title_full | Multiresolution for algebraic curves and surfaces using wavelets |
| title_fullStr | Multiresolution for algebraic curves and surfaces using wavelets |
| title_full_unstemmed | Multiresolution for algebraic curves and surfaces using wavelets |
| title_short | Multiresolution for algebraic curves and surfaces using wavelets |
| title_sort | Multiresolution for algebraic curves and surfaces using wavelets |
| topic | Geometric modeling Algebraic surfaces Wavelets Multiresolution Topological simplification Conversion algorithms Àrees temàtiques de la UPC::Informàtica::Infografia |
| topic_facet | Geometric modeling Algebraic surfaces Wavelets Multiresolution Topological simplification Conversion algorithms Àrees temàtiques de la UPC::Informàtica::Infografia |
| url | https://hdl.handle.net/2117/84908 |