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Computational model based on wavelet techniques for linking digital images obtained at different scales and resolutions

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Author(s):
Edson Roberto Minatel
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Física de São Carlos (IFSC/BT)
Defense date:
Examining board members:
Paulo Estevão Cruvinel; Roberto Marcondes Cesar Junior; Luiz Goncalves Neto; Nelson Delfino d\'Ávila Mascarenhas; Valentin Obac Roda
Advisor: Paulo Estevão Cruvinel
Abstract

This work consists of the development of a computational model aimed at relating digital images obtained on different scales and resolutions to the application of Wavelets. The development of this model lies within a multidisciplinary context, at the intersection of the research lines of areas of Physics, Mathematics and Computation. The choice of these studies therefore fel1 on a computational approach, with the application of digital images originating from the reconstruction of computerized tomographic X-ray data. The results of the implementation of the computational model developed here confirm the model\'s functionality, since the vectorial attributes of the objects utilized for our analysis (pores) remained stable under different resolutions. The model was implemented in the C++ programming language using object orientation, and the model\'s methods were organized into classes based on their application on different computational platforms, from the standpoint of operational systems and processors. In the scientific point of view, the resulting system is an important tool in the porous means researches using computerized tomography by X-rays and it has exclusive methods. These methods use Wavelets and they have application in edge smoothing processes by sub-pixel technique, in optimizing processing time and in data processing for interpolation (AU)