title: Design of Steerable Wavelets to Detect Multifold Junctions.
abstract: We propose a framework for the detection of junctions in images. Although the detection of edges and key points is a well examined and described area, the multiscale detection of junction centers, especially for odd orders, poses a challenge in pattern analysis. The goal of this paper is to build optimal junction detectors based on 2D steerable wavelets that are polar-separable in the Fourier domain. The approaches we develop are general and can be used for the detection of arbitrary symmetric and asymmetric junctions. The backbone of our construction is a multiscale pyramid with a radial wavelet function where the directional components are represented by circular harmonics and encoded in a shaping matrix. We are able to detect M -fold junctions in different scales and orientations. We provide experimental results on both simulated and real data to demonstrate the effectiveness of the algorithm.
authors.forename: Zsuzsanna
authors.initials: Z
authors.lastname: Püspöki
authors.forename: Virginie
authors.initials: V
authors.lastname: Uhlmann
authors.forename: Cédric
authors.initials: C
authors.lastname: Vonesch
authors.forename: Michael
authors.initials: M
authors.lastname: Unser