Nonlinear Structure Tensor Using Diffusion Coefficients Based on Image
نویسندگان
چکیده
A low level image processing, for examples, image denoising and finding a local structure in an image, is one of essential processes in computer vision. The nonlinear structure tensor [1] based on an anisotropic nonlinear diffusion processes has shown its capability for presenting useful information of an image, such as homogeneous regions, edges, and corners. The diffusion process to obtain a nonlinear structure tensor is a natural extension Perona-Malik’s model in [2]. We propose an unconventional nonlinear diffusion process to obtain a nonlinear structure tensor of an image. Since the nonlinear structure tensor initially has gradient information of an image, diffusion coefficients of PDEs based on image make sense to present a local structure in an image. We make such diffusion coefficients in a system of anisotropic nonlinear PDEs to obtain nonlinear structure tensor. We also prove the existence and uniqueness of proposed PDEs. A superiority of nonlinear structure tensor using diffusion coefficients based on image is shown in applications, for examples, image denoising and corner detection.
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