Steerable Filtering Using Novel Circular Harmonic Functions with Application to Edge Detection

In this paper, we perform approximate steering of the elongated 2D Hermite-Gauss functions with respect to rotations and provide a compact analytical expressions for the related basis functions. A special notation introduced here considerably simplifies the derivation and unifies the cases of even and odd indices. The proposed filters are applied to edge detection. Quantitative analysis shows a performance increase of about 12.5% in terms of the Pratt's figure of merit with respect to the well-established Gaussian gradient proposed by Canny. Keywords-Edge detection; Hermite-Gauss wavelets; Steerable filters

• Type: Journal
• Year: 2010
• Where: ICPR
• Authors: Giuseppe Papari, Patrizio Campisi, Nicolai Petkov
• Keywords: Compact Analytical Expressions, Computer Vision, ICPR 2010, Related Basis Functions, Well-established Gaussian Gradient