A Sinusoidal Image Model Derived from the Circular Harmonic Vector

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• 作者：Ross Marchant ; Paul Jackway
• 关键词：Riesz transform ; Steerable wavelets ; Feature detection ; Sinusoidal model
• 刊名：Journal of Mathematical Imaging and Vision
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：57
• 期：2
• 页码：138-163
• 全文大小：
• 刊物类别：Computer Science
• 刊物主题：Image Processing and Computer Vision; Applications of Mathematics; Signal,Image and Speech Processing; Mathematical Methods in Physics;
• 出版者：Springer US
• ISSN：1573-7683
• 卷排序：57

文摘

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.