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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.

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",

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