Abstract
ABSTRACTThe development of the mathematical morphology meant a major turn on digital image processing. Among its operators, the skeleton is one of the most difficult to apply. Authors have studied the sensitivity of the fractal dimension of the skeleton of geometrical structures in a digital image when its spatial resolution and threshold level change. The procedure is first tested on a scientific and industrial standard and second carried out on a sea surface temperature (SST) imagery of the Colombian Caribbean. The results can be summarized as (i) the distribution of the variance of the binarized images and of the fractal dimension of the skeleton of the SST respect to the threshold level and losses in resolution, (ii) a criterion to choose the threshold level for binarization and the loss in resolution to compute the skeleton, and (iii) such transformation leads to a fractal dimension of the corresponding skeleton with the minimum standard deviation. The study is completed by analysing the influence of El Niño on the fractal dimension of the skeletons by means of cross-spectral analysis obtaining an average phase lag of about 2.8 months.
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