Journal
IEEE TRANSACTIONS ON IMAGE PROCESSING
Volume 25, Issue 2, Pages 643-657Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2015.2507981
Keywords
Symmetries; steerability; wavelet transform; junction detection
Funding
- European Research Council [ERC-2010-AdG 267439-FUN-SP]
- Center for Biomedical Imaging of the Geneva-Lausanne Universities, Ecole polytechnique federale de Lausanne, Lausanne, Switzerland
- Hasler Foundation
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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.
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