A Sinusoidal Image Model Derived from the Circular Harmonic Vector

作者：Marchant Ross^*; Jackway Paul

来源：Journal of Mathematical Imaging and Vision, 2017, 57(2): 138-163.

DOI：10.1007/s10851-016-0671-7

• Riesz transform
• Steerable wavelets
• Feature detection
• Sinusoidal model

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.

• 出版日期2017-2