Generalization of Canny---Deriche filter for detection of noisy exponential edge

Authors:
E. Bourennane;P. Gouton;M. Paindavoine;F. Truchetet
Affiliations:
Université de Bourgogne Laboratoire LE2I, Fac. des Sciences et Techniques, BP 47870, 21078 Dijon Cedex, France;Université de Bourgogne Laboratoire LE2I, Fac. des Sciences et Techniques, BP 47870, 21078 Dijon Cedex, France;Université de Bourgogne Laboratoire LE2I, Fac. des Sciences et Techniques, BP 47870, 21078 Dijon Cedex, France;Université de Bourgogne Laboratoire LE2I, Fac. des Sciences et Techniques, BP 47870, 21078 Dijon Cedex, France
Venue:
Signal Processing
Year:
2002

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Abstract

This paper presents a generalization of the Canny-Deriche filter for ramp edge detection with optimization criteria used by Canny (signal-to-noise ratio, localization, and suppression of false responses). Using techniques similar to those developed by Deriche, we derive a filter which maximizes the product of the first two criteria under the constraint of the last one. The result is an infinite length impulse response filter which leads to a stable third-order recursive implementation. Its performance shows an increase of the signal-to-noise ratio in the case of blurred and noisy images, compared to the results obtained from Deriche's filter.