Optimal edge detectors for ramp edges
Petrou, M.
Kittler, J.
Dept. of Electron. & Electr. Eng., Surrey Univ., Guildford;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: May 1991
Volume: 13,
Issue: 5
On page(s): 483-491
ISSN: 0162-8828
References Cited: 11
CODEN: ITPIDJ
INSPEC Accession Number: 3971426
Digital Object Identifier: 10.1109/34.134047
Current Version Published: 2002-08-06
Abstract
It is argued that the best way to model an edge is by assuming all
ideal mathematical function passed through a low-pass filter and and
immersed in noise. Using techniques similar to those developed by J.
Canny (1983, 1986) and L.A. Spacek (1986), optimal filters are derived
for ramp edges of various slopes. The optimal nonrecursive filter for
ideal step edges is then derived as a limiting case of the filters for
ramp edges. Because there are no step edges in images, edge detection is
improved when the ramp filter is used instead of the filters developed
for step edges. For practical purposes, some convolution masks are given
which can be used directly for edge detection without the need to go
into the details of the subject
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