A Note on the Phase Congruence Method in Image Analysis

Abstract

Phase congruence technique developed by Kovesi allows the detection of edges in images by analyzing the phases of their frequency components. A limitation of this technique is that it does not allow the detection of closely spaced edges that have different intensities. However, this situation occurs frequently in images, which therefore limits the use of this method. This study aims to propose a method that can overcome this limitation. Unlike the original technique, the proposed study uses a high degree of overlap between different frequency components to allow the detection of contiguous edges of low intensity. To avoid the problems that arise from high overlap, we modify the sensitivity of the phase congruence, allowing us to detect weak edges while discarding the noise associated with the proposed changes. We present our results and compare them with the results obtained using the existing technique.

Unified Mathematical Formulation of Monogenic Phase Congruency

“…As can be seen in Equations ( 17) and ( 18), proposed by Kovesi for the noise threshold estimation T, the parameter σ o , on which the bandwidth of the filters depends is not taken into account. Since this parameter change affects the calculation of T [23], a new strategy was proposed for the estimation of noise from the histogram of the total energy by approximating it to a Weibull distribution [13].…”