Digital image processing
An Operator Which Locates Edges in Digitized Pictures
Journal of the ACM (JACM)
A Local Visual Operator Which Recognizes Edges and Lines
Journal of the ACM (JACM)
Computational Approaches to Image Understanding
ACM Computing Surveys (CSUR)
On edge gradient approximations
Pattern Recognition Letters
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This paper studies the design of template masks for edge detection, and develops the underlying theory with particular reference to computational accuracy. The concept of circularity is shown to be important for the design of 'general purpose' template matching operators. A number of design constraints are enuciated: in particular it is found that different masks are required for the accurate estimation of edge magnitude and edge orientation; in either case they need to be tailored to the relevant edge profile. The Sobel coefficient is obtained in the closed form (frsol|13@/2-4)/7 @?2.055.