||Anna, KitIan Kou (University of Macau)
||Edge Detection Methods Based on Differential Phase Congruency of Monogenic Image
Edge detection has been widely used in medical image processing and automatic
diagnosis. Some novel edge detection algorithms, based on the monogenic scale-space,
are proposed by detecting points of local extrema in local amplitude, the local attenuation
and modified differential phase congruency methods. The monogenic scale-space is obtained
from a known image by Poisson and conjugate Poisson filtering. In mathematics, it is the
Hardy space in the upper half-space. The boundary value of the monogenic scale-space
representation is a monogenic image. In the monogenic scale-space, the definitions
involving scale, such as local amplitude, local attenuation, local phase angle, local phase
vector and local frequency (phase derivatives) are proposed. Using Clifford analysis, the
relations between the local attenuation and the local phase vector are obtained. These
study will be improved the understanding of image analysis in higher dimensional spaces.
Experimental results are shown by using some typical images.