Design of Steerable Wavelets to Detect Multifold Junctions

Z. Püspöki, V. Uhlmann, C. Vonesch, M. Unser

IEEE Transactions on Image Processing, vol. 25, no. 2, pp. 643-657, February 2016.

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.

@ARTICLE(http://bigwww.epfl.ch/publications/puespoeki1601.html,
AUTHOR="P{\"{u}}sp{\"{o}}ki, Z. and Uhlmann, V. and Vonesch, C. and
        Unser, M.",
TITLE="Design of Steerable Wavelets to Detect Multifold Junctions",
JOURNAL="{IEEE} Transactions on Image Processing",
YEAR="2016",
volume="25",
number="2",
pages="643--657",
month="February",
note="")

© 2016 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.