Marchant, R., and Jackway, P. (2013) Using super-resolution methods to solve a novel multi-sinusoidal signal model. In: Proceedings of the lnternational Conference on Digital lmage Computing: techniques and applications. pp. 485-492. From: DICTA 2013: lnternational Conference on Digital lmage Computing: techniques and applications, Hobart, TAS. Australia, 26-28 November 2013.

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Abstract

Sinusoidal signal models are a useful representation of local image structure, as sinusoid phase describes symmetry separately from strength and orientation. Existing models consist of one or two oriented sinusoids, calculated using the 0th to 3rd order Riesz transforms. We propose an expanded signal model consisting of a larger number of oriented sinusoids. The model parameters are estimated using higher-order Riesz transforms and a novel application of super-resolution theory. Image features consisting of multiple lines or edges can be analysed using the method, which compares favourably to existing approaches.

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