@inproceedings{af262361e4df4e658f31f7914ae5b0c1,

title = "CLOSED FORM OF THE STEERED ELONGATED HERMITE-GAUSS WAVELETS",

abstract = "We provide a closed form, both in the spatial and in the frequency domain, of a family of wavelets which arise from steering elongated Hermite-Gauss filters. These wavelets have interesting mathematical properties, as they form new dyadic families of eigenfunctions of the 2D Fourier transform, and generalize the well known Laguerre-Gauss harmonics. A special notation introduced here greatly simplifies our proof and unifies the cases of even and odd orders. Applying these wavelets to edge detection increases the performance of about 12.5% with respect to standard methods, in terms of the Pratt{\textquoteright}s figure of merit, both for noisy and noise-free input images.",

keywords = "Edge features, Fourier analysis, Steerable filters, EDGE-DETECTION, EARLY VISION, DESIGN, DECOMPOSITION, KERNELS",

author = "Giuseppe Papari and Patrizio Campisi and Nicolai Petkov",

note = "Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science; IEEE International Conference on Image Processing ; Conference date: 26-09-2010 Through 29-09-2010",

year = "2010",

language = "English",

isbn = "9781424479924",

series = "IEEE International Conference on Image Processing ICIP",

publisher = "University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

pages = "377--380",

booktitle = "2010 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING",

}