Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach
The main contribution of this paper is the definition of wavelets over non nested tetrahedral grids, allowing the representation of functions defined on an a irregular tetrahedralization. In this way, it is possible to represent different attributes of a 3D object such as its color, brightness, dens...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Postgraduate Office, School of Computer Science, Universidad Nacional de La Plata
2019-04-01
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| Series: | Journal of Computer Science and Technology |
| Subjects: | |
| Online Access: | http://journal.info.unlp.edu.ar/JCST/article/view/1209 |
| _version_ | 1828482992996089856 |
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| author | Liliana B. Boscardin Silvia M. Castro Liliana R. Castro |
| author_facet | Liliana B. Boscardin Silvia M. Castro Liliana R. Castro |
| author_sort | Liliana B. Boscardin |
| collection | DOAJ |
| description | The main contribution of this paper is the definition of wavelets over non nested tetrahedral grids, allowing the representation of functions defined on an a irregular tetrahedralization. In this way, it is possible to represent different attributes of a 3D object such as its color, brightness, density, etc. This representation consists of a set of coefficients corresponding to a coarse resolution followed by a set of detail coefficients that measures the error between two successive approximations. In this work the analysis matrix that allows going from a fine to a coarser resolution and the synthesis matrix needed for going from a coarse resolution to a finer one, are presented. All this is within the framework of non nested tetrahedral grids. |
| first_indexed | 2024-12-11T08:27:27Z |
| format | Article |
| id | doaj.art-c7ebfa6da99c436fa112328ecfd34ac4 |
| institution | Directory Open Access Journal |
| issn | 1666-6046 1666-6038 |
| language | English |
| last_indexed | 2024-12-11T08:27:27Z |
| publishDate | 2019-04-01 |
| publisher | Postgraduate Office, School of Computer Science, Universidad Nacional de La Plata |
| record_format | Article |
| series | Journal of Computer Science and Technology |
| spelling | doaj.art-c7ebfa6da99c436fa112328ecfd34ac42022-12-22T01:14:32ZengPostgraduate Office, School of Computer Science, Universidad Nacional de La PlataJournal of Computer Science and Technology1666-60461666-60382019-04-011901e02e0210.24215/16666038.19.e021209Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical ApproachLiliana B. Boscardin0Silvia M. Castro1Liliana R. Castro2Depto. de Matemática, Universidad Nacional del Sur, Bahía Blanca, 8000, ArgentinaDepto. de Cs. e Ing. de la Computación, Universidad Nacional del Sur, Bahía Blanca, 8000, ArgentinaDepto. de Matemática, Universidad Nacional del Sur, Bahía Blanca, 8000, ArgentinaThe main contribution of this paper is the definition of wavelets over non nested tetrahedral grids, allowing the representation of functions defined on an a irregular tetrahedralization. In this way, it is possible to represent different attributes of a 3D object such as its color, brightness, density, etc. This representation consists of a set of coefficients corresponding to a coarse resolution followed by a set of detail coefficients that measures the error between two successive approximations. In this work the analysis matrix that allows going from a fine to a coarser resolution and the synthesis matrix needed for going from a coarse resolution to a finer one, are presented. All this is within the framework of non nested tetrahedral grids.http://journal.info.unlp.edu.ar/JCST/article/view/1209non nested multiresolution analysisirregular tetrahedralizationsnested multiresolution analysiswavelets |
| spellingShingle | Liliana B. Boscardin Silvia M. Castro Liliana R. Castro Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach Journal of Computer Science and Technology non nested multiresolution analysis irregular tetrahedralizations nested multiresolution analysis wavelets |
| title | Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach |
| title_full | Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach |
| title_fullStr | Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach |
| title_full_unstemmed | Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach |
| title_short | Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach |
| title_sort | wavelets defined over non nested tetrahedral grids a theoretical approach |
| topic | non nested multiresolution analysis irregular tetrahedralizations nested multiresolution analysis wavelets |
| url | http://journal.info.unlp.edu.ar/JCST/article/view/1209 |
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