Aplicação do método de contornos ativos radial para medição de dureza Brinell utilizando energia Hilbertiana

Abstract

The active contour methods have obtained good results in image segmentation when low signal/noise relationship is found. These techniques consist in the minimization of the total energy of the contours, calculated by the sum of the internal energy (function of the curve’s geometry) and the external energy (which depends on the characteristics of the image that is going to be segmented). Traditionally, the external energy is obtained by the gradient of the analyzed image. Among the active contours’ methods, the radial ones have the lower computational complexity and provide satisfactory results when applied to real time applications This work proposes the utilization of the Hilbert transform to generate a new external energy denominated Hilbertian energy, which composes the radial active contours’ to segment the Brinell hardness indentation, and from it, the material hardness. Evaluation of 20 indentations obtained from Brinell tests showed the radial method is quite satisfying for this finality, performing the segmentation in the appropriate way, in connection with the Hilbertian energy.