Novel matrix-valued imaging techniques such as diffusion tensor magnetic resonance imaging require the development of edgepreserving nonlinear filters. In this paper we introduce a median filter for such tensor-valued data. We show that it inherits a number of favourable properties from scalar-valued median filtering, and we present experiments on synthetic as well as on real-world images that illustrate its performance.
We develop a concept for the median filtering of tensor data. The main part of this concept is the definition of median for symmetric matrices. This definition is based on the minimisation of a geometrically motivated objective function which measures the sum of distances of a va
This contribution presents a variation of the Wiener filter criterion, i.e. minimizing the mean squared error, by combining it with the main principle of normalized convolution, i.e. the introduction of prior information in the filter process via the certainty map. Thus, we are a
Abstract: In this paper, image-denoising proposed median filter is implemented for denoising of corrupted image and edge preservation. This method enhances the Peak Signal to Noise Ratio(PSNR) and perceives the original features of the images. This filter is compared with median
Ultrasound imaging is one of the popular,cheapest, and noninvasive medical scans. During the time of image acquisition, there is distortion of the quality of image in the form of speckle noise. Nowadays, many researches have made various experiments to improve the quality of medi
This paper describes a new filter for impulse noise reduction in colour images which is aimed at improving the noise reduction capability of the classical vector median filter. The filter is inspired by the application of a vector marginal median filtering process over a selected
Median filters are commonly used for removal of the impulse noise from images. De-noising is a preliminary step in online processing of images, thus hardware implementation of median filters is of great interest. Hence, many methods, mostly based on sorting the pixels, have been