It has been understood for sometime that the classical smoothness spaces, such as the Sobolev and Besov classes, are not satisfactory for certain problems in image processing and nonlinear PDEs. Their deficiency lies in their isotropy. Functions in these smoothness spaces must be simultaneously smooth in all directions. The anisotropic generalizations of these spaces also have the deficiency th...

A new method of incorporating local image characteristics into blind image restoration is proposed. The local variance of the degraded image is used as a measure of spatial activity, from which individual pixel bounds are determined. A parameter de ned by the user controls the degree of smoothing. The local bounds de ne the solution more precisely than smoothness constraints on the image (inclu...

The uniform quantizers used in typical wavelet image compression algorithms can introduce perceptually disturbing artifacts by decreasing visual smoothness. In this paper, we use local Hölder regularity to quantify changes in visual smoothness and propose a modified quantization scheme which constrains local regularity decreases. The reconstructed images show a significant perceptual improvemen...

This paper is motivated by the following problem. Consider an image we want to compress. The appropriate distortion measure with respect to which we compress the image is specified by the human visual system. This distortion measure can only be experimentally determined and our knowledge about it will hence be only partial. This leads us to consider the general problem of lossy source coding wi...

introduction: filtering can greatly affect the quality of clinical images. determining the best filter and the proper degree of smoothing can help to ensure the most accurate diagnosis. methods: forty five patient’s data aquired during brain phantom spect studies were reconstructed using filtered back-projection technique. the ramp, shepp-logan, cosine, hamming, hanning, butterworth, metz and w...

Watermarking of 3D data has gathered renewed interest due to the explosion of graphic content and animated motion movies. This paper discusses non-blind watermarking of 3D models in the spatial domain. The proposed method estimates the local smoothness variation of the mesh to select vertices for inserting a watermark. Smoothness variation of the surface represented by the 1ring neighborhood of...

This paper presents a Gaussian noise filter that uses a sigmoid shaped membership function to model image information in the spatial domain. This function acts as a tunable smoothing intensification operator. With a proper choice of two sigmoid parameters ‘t’ and ‘a’, the filter strength can be tuned for removal of Gaussian noise in intensity images. An image information measure, Total Compatib...

This paper presents a new variational algorithm for image deblurring by characterizing the properties of image local smoothness and nonlocal self-similarity simultaneously. Specifically, the local smoothness is measured by a Total Variation method, enforcing the local smoothness of images, while the nonlocal self similarity is measured by transforming the 3D array generated by grouping similar ...