Um estudo sobre algoritmos de interpolação de sequencias numericas

TL;DRAbstract

This dissertation presents a study on interpolation and decimation algorithms of numerical sequences, whose filters are derived from the ideal reconstruction filter. An adaptive algorithm of cubic interpolation is proposed and the gains of this algorithm is analized by comparing with the classic algorithms. The idea is to explore the trade-off between quality and complexity of the interpolation filters. The adaptation of the filter, obtained from spacial and spectral estimates of the sequence to be interpolated, is useful because it provides an efficient use of complex filter in critical regions as, for example, regions of edge of an image. Simulations in typical images show a significant quantitative gain of the adaptive algorithm when compared to classical algorithms. Furthermore, an interpolation algorithm is analyzed based on the knowledge of the acquisition process of the sequence to be interpolated. v vi

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