Influence of filter sphericity on the detection of singularities in synthetic images

Authors:
C. Gouttière;G. Lemaur;J. De Coninck
Affiliations:
Université de Mons-Hainaut, CRMM, Parc Initialis, Avenue Copernic 1, Bít. Materia Nova, 7000 Mons, Belgium;Université de Mons-Hainaut, CRMM, Parc Initialis, Avenue Copernic 1, Bít. Materia Nova, 7000 Mons, Belgium;Université de Mons-Hainaut, CRMM, Parc Initialis, Avenue Copernic 1, Bít. Materia Nova, 7000 Mons, Belgium
Venue:
Signal Processing
Year:
2007

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Abstract

It has been demonstrated previously that isotropy of wavelets is advantageous for the detection of pointwise singularities. The influence of the isotropy is studied here for a broader class of operators. We compare Gabor filters which provide a relatively high directionality, the spherical wavelet and the Mexican Hat function which is isotropic. From experiments on different backgrounds and with defects of varying size, we observe a clear influence of sphericity on the detection of small singularities.