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Optimal Edge Detectors for Ramp Edges
May 1991 (vol. 13 no. 5)
pp. 483-491
ASCII Text
x 
 
M. Petrou, J. Kittler, "Optimal Edge Detectors for Ramp Edges," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 5, pp. 483-491, May, 1991.
 
 
BibTex
x
 
@article{ 10.1109/34.134047,
author = {M. Petrou and J. Kittler},
title = {Optimal Edge Detectors for Ramp Edges},
journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume = {13},
number = {5},
issn = {0162-8828},
year = {1991},
pages = {483-491},
doi = {http://doi.ieeecomputersociety.org/10.1109/34.134047},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Pattern Analysis and Machine Intelligence
TI - Optimal Edge Detectors for Ramp Edges
IS - 5
SN - 0162-8828
SP483
EP491
EPD - 483-491
A1 - M. Petrou,
A1 - J. Kittler,
PY - 1991
KW - edge detectors; ramp edges; optimal filters; convolution masks; filtering and prediction theory; pattern recognition; picture processing
VL - 13
JA - IEEE Transactions on Pattern Analysis and Machine Intelligence
ER -
 

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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Index Terms:
edge detectors; ramp edges; optimal filters; convolution masks; filtering and prediction theory; pattern recognition; picture processing
Citation:
M. Petrou, J. Kittler, "Optimal Edge Detectors for Ramp Edges," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 5, pp. 483-491, May 1991, doi:10.1109/34.134047
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