Title
Local edge detectors using a sigmoidal transformation for piecewise smooth data.
Abstract
For piecewise smooth data, edges can be recognized by jump discontinuities in the data. Successful edge detection is essential in digital signal processing as the most relevant information is often observed near the edges in each segmented region. In this paper, using the concentration property of existing local edge detectors and the clustering property of sigmoidal transformations, we provide enhanced edge detectors which diminish the oscillations of the local detector near jump discontinuities as well as highly improve rate of convergence away from the discontinuities. Numerical results of some examples illustrate efficiency of the presented method.
Year
DOI
Venue
2013
10.1016/j.aml.2012.09.006
Applied Mathematics Letters
Keywords
Field
DocType
Jump discontinuity,Local edge detector,Concentration property,Sigmoidal transformation,Clustering property
Digital signal processing,Mathematical optimization,Classification of discontinuities,Edge detection,Mathematical analysis,Rate of convergence,Cluster analysis,Jump,Detector,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
26
2
0893-9659
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Beong In Yun18612.55
Kyung Soo Rim221.73