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The act of interpolating missing or damaged portions of an image by applying information from the neighborhood is known as image inpainting. A lot of fourth order Partial Differential Equation (PDE) based models have been devised to solve the inpainting ...

In this paper, we propose a rotation invariant neural network based on Gaussian derivatives. The proposed network covers the main steps of the Harris corner detector in a generalized manner. More precisely, the Harris corner response function is a ...

In medical CT, the X-ray exposure dose reduction is expected. As a decrease in the dose, the image is degraded due to the noise. Therefore, the development of the noise reduction algorithm while maintaining image quality is an important issue. To ...

When denoising with the method of Weickert's an isotropic diffusion equation, the textures and details will be compromised. A fidelity term is added into Weickert's equation. The coefficient of fidelity term will vary adaptively with the instant image, ...

Covariance matrices have recently been a popular choice for versatile tasks like recognition and tracking due to their powerful properties as local descriptor and their low computational demands. This paper outlines similarities of covariance matrices ...

Tensor valued images, for instance originating from diffusion tensor magnetic resonance imaging (DT-MRI), have become more and more important over the last couple of years. Due to the nonlinear structure of such data it is nontrivial to adapt well-...

Time lapse video microscopy routinely produces terabyte sized biological image sequence collections, especially in high throughput environments, for unraveling cellular mechanisms, screening biomarkers, drug discovery, image-based bioinformatics, ...

A tensor-based optical flow algorithm is presented in this paper. This algorithm uses a cost function that is an indication of tensor certainty to adaptively adjust weights for tensor computation. By incorporating a good initial value and an ...

This article presents an approach for noise filtering that is based on anisotropic nonlinear diffusion. The method combines edge-preserving noise reduction with a strategy to enhance local structures and a mechanism to further smooth the ...