A sinusoidal image model derived from the circular harmonic vector

Marchant, Ross, and Jackway, Paul (2017) A sinusoidal image model derived from the circular harmonic vector. Journal of Mathematical Imaging and Vision, 57 (2). pp. 138-163.

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Abstract

We introduce a sinusoidal image model consisting of an oriented sinusoid plus a residual component. The model parameters are derived from the circular harmonic vector, a representation of local image structure consisting of the responses to the higher-order Riesz transforms of an isotropic wavelet. The vector is split into sinusoidal and residual components. The sinusoidal component gives a phase-based description of the dominant local linear symmetry, with improved orientation estimation compared to previous sinusoidal models. The residual component describes the remaining parts of the local structure, from which a complex-valued representation of intrinsic dimension is derived. The usefulness of the model is demonstrated for corner and junction detection and parameter-driven image reconstruction.

Item ID: 50410
Item Type: Article (Research - C1)
ISSN: 1573-7683
Keywords: Riesz transform, steerable wavelets, feature detection, sinusoidal model
Funders: Commonwealth Scientific and Industrial Research Organisation (CSIRO), James Cook University
Date Deposited: 20 Sep 2017 08:42
FoR Codes: 08 INFORMATION AND COMPUTING SCIENCES > 0801 Artificial Intelligence and Image Processing > 080106 Image Processing @ 40%
01 MATHEMATICAL SCIENCES > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified @ 60%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 50%
97 EXPANDING KNOWLEDGE > 970108 Expanding Knowledge in the Information and Computing Sciences @ 50%
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