Edges are viewed as statistical outliers with respect to local image gradient magnitudes. Within local image regions we compute a robust statistical measure of the gradient variation and use this in an anisotropic di usion framework to determine a spatially varying \edgestopping" parameter . We show how to determine this parameter for two edge-stopping functions described in the literature (Per...

Wireless capsule endoscopy (WCE) has revolutionized the diagnosis and treatment of gastrointestinal tract, especially the small intestine where traditional endoscopies can not reach. However, this new technology leads to the inspection of a large number of images, which is a time consuming process and also too hard by naked eyes for doctors. In this article we propose a new computerized method ...

Anisotropic diffusion was first introduced by Perona and Malik [1] for image smoothing and denoising. Since then, the field has matured and a better understanding of its properties and implementation has led to numerous applications for image processing. The objective of this study is to evaluate the effectiveness of anti-geometric diffusion as a method for segmenting knee cartilage from MRI sc...

Nonlinear diffusion, proposed by Perona and Malik, is a well­known method for image denoising with edge preserving characteristics. Recently, nonlinear diffusion has been shown to be equivalent to iterative wavelet shrinkage, but only for (1) Mallat­Zhong dyadic wavelet transform and (2) Haar wavelet transform. In this paper, we generalize the equivalence of nonlinea...

Deblurring with a spatially invariant kernel of arbitrary shape is a frequent problem in image processing. We address this task by studying nonconvex variational functionals that lead to diffusion-reaction equations of Perona–Malik type. Further we consider novel deblurring PDEs with anisotropic diffusion tensors. In order to improve deblurring quality we propose a continuation strategy in whic...

Image decomposition technology is a very useful tool for image analysis. Images contain structural component and textural component which can be decomposed by variational methods such as VO (VeseOsher) and OSV (Osher-Sole-Vese) models. OSV model is a powerful tool for image decomposition but the minimization is a hard problem because of solving the 4 order partial differential equations with co...

We are presenting here a model for processing space-time image sequences and applying them to 3D echo-cardiography. The non-linear evolutionary equations filter the sequence with keeping space-time coherent structures. They have been developed using ideas of regularized Perona-Malik an-isotropic diffusion and geometrical diffusion of mean curvature flow type (Malladi-Sethian), combined with Gal...

Weighted averaging filters and nonlinear partial differential equations (PDEs) are two popular concepts for discontinuity-preserving denoising. In this paper we investigate novel relations between these filter classes: We deduce new PDEs as the scaling limit of the spatial step size of discrete weighted averaging methods. In the one-dimensional setting, a simple weighted averaging of both neigh...