In this paper, we propose a spatially adaptive image restoration algorithm, using local statistics. The local variance, mean and maximum value are utilized to constraint the solution space. These parameters are computed at each iteration step using partially restored image. A parameter defined by the user determines the degree of local smoothness imposed on the solution. The resulting iterative...

In this paper, we present both a methodology and a rationale for designing filters based on spatial smoothness and accuracy criteria. Frequency based methods have been used to design function and derivative reconstruction filters especially in image and signal processing. Desired filter characteristics are specified in terms of spectral properties. However, for visualization and image synthesis...

Regularized nonrigid medical image registration algorithms usually estimate the deformation by minimizing a cost function, consisting of a similarity measure and a penalty term that discourages “unreasonable” deformations. Conventional regularization methods enforce homogeneous smoothness properties of the deformation field; less work has been done to incorporate tissue-type-specific elasticity...

Semi-supervised segmentation remains challenging in medical imaging since the amount of annotated data is often scarce and there are many blurred pixels near adhesive edges or low-contrast regions. To address issues, we advocate to firstly constrain consistency with without strong perturbations apply a sufficient smoothness constraint further encourage class-level separation exploit low-entropy...

1. Under suitable smoothness assumptions, quasiperiodicity, and hence the absence of any kind of hyperbolicity, is non-negligible in a measure-theoretical sense [Kol] (under suitable smoothness assumptions). 2. In low regularity (C), failure of non-uniform hyperbolicity (here nonuniform hyperbolicity can be understood as positivity of the metric entropy) is a fairly robust phenomenon in the top...

Concerns the 3D interpretation of image sequences showing multiple objects in motion. Each object exhibits smooth motion except at certain time instants when a motion discontinuity may occur. The objects are assumed to contain point features which are detected as the images are acquired. Estimating feature trajectories in the first two frames amounts to feature matching. As more images are acqu...

Automated classification of patients based on the analysis of their medical images will aid in directing the attention of medical professionals to cases that require the most urgent attention. Our current work has been focused on the segmentation of lung areas from an X-ray image of human lungs. We use the Watershed segmentation with a new distance measure, called “gravity distance”, which is d...

Devore, Jawerth, and Lucier have previously introduced a definition of the smoothness of images that is directly related to the performance of wavelet compression schemes. In this paper we survey previous results on the equivalence between smoothness, rate of decay of the wavelet coefficients, and efficiency of wavelet compression techniques applied to images. We report on other applications in...