ICIC   25583
INSTITUTO DE CIENCIAS E INGENIERIA DE LA COMPUTACION
Unidad Ejecutora - UE
artículos
Título:
Wavelets Defined Over Non Nested Tetrahedral Grids: A Theoretical Approach
Autor/es:
LILIANA RAQUEL CASTRO; LILIANA BOSCARDÍN; SILVIA MABEL CASTRO
Revista:
Journal of Computer Science & Technology
Editorial:
Facultad de Informática, Universidad Nacional de La Plata
Referencias:
Lugar: La Plata; Año: 2019 vol. 19 p. 8 - 21
ISSN:
1666-6046
Resumen:
The main contribution of this paper is the definition of wavelets over non nested tetrahedral grids, allow-ing the representation of functions defined on an 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.