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 |
| Summary: | 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. |
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| ISSN: | 1666-6046 1666-6038 |