FUZZY
LINKING MODELS
FOR PYRAMIDAL EDGE
DETECTION
Zhi-Gang
Wang, Wei Wang and Xiao-Ming Xu
School of Electronics & Information
200030
P.R. China
ABSTRACT
This paper presents a novel approach to multiresolution
edge detection, which combines the grayscale morphological filtering, pyramid
data structure and fuzzy technique. It mainly addresses the linking of edge
nodes at adjacent levels in image pyramid. In previous pyramidal approaches,
linking is based on linear relationship and intensity proximity only. The
approach proposed here contains multiple linking mechanisms and introduces
fuzzy technique. It considers the parent-child linking relationship of edge
nodes between the two adjacent levels as fuzzy model, which is trained offline
using real image data. Through this fuzzy linking model, the coarse,
low-resolution edge map is propagated and refined to the fine, high-resolution edge
map in the pyramid. The validation experiment is carried out on one synthetic
image and two real images, and the results show that our approach has better performance on the
localization and detection of continuous large-scale object boundaries than Canny’s edge detector and other previous multiresolution approaches. In
addition, the proposed approach has high computational
efficiency.
Keywords: mathematical morphology, pyramid structure, fuzzy sets, edge detection, multiresolution image analysis.