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: | ; ; |
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| 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 |
| Summary: | 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. |
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