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: | 46 INFORMATION AND COMPUTING SCIENCES > 4603 Computer vision and multimedia computation > 460306 Image processing @ 40% 49 MATHEMATICAL SCIENCES > 4999 Other mathematical sciences > 499999 Other 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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