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Zeng, Li; Ma, Rui; Huang, Jianyuan; Hunziker, P. R.

The construction of 2D rotationally invariant wavelets and their application in image edge detection. (English) Zbl 1148.68462

Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 1, 65-82 (2008).
Summary: Construction of rotationally invariant 2D wavelets is important in image processing, but is difficult. In this paper, the discrete form of a 2D rotationally invariant wavelet is constructed by back-projection from a 1D symmetrical wavelet. Such rotationally invariant 2D wavelets allow effective edge detection in any direction. These wavelets are combined with the 2D directional wavelets for the use in non-maximum suppression edge detection. The resulting binary edges are characterized by finer contours, differential detection characteristics and noise robustness compared to other edge detectors in various test images. In particular, where fine binary edges in noisy images are required, this novel approach compares favorably to the classical methods of Canny and Mallat with detection of more edges thanks to the implicit denoising properties and the full rotational invariance of the method.

Cited in 3 Documents

MSC:

68T10 Pattern recognition, speech recognition
68U10 Computing methodologies for image processing
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
65T60 Numerical methods for wavelets

Keywords:

2D wavelet construction
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References:

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