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nonlinear Signal and image processing-a special issue in honour of Giovanni L. Sicuranza on his seventy-fifth birthday

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EURASIP JOURNAL ON ADVANCES IN SIGNAL processing 2017年第1期2017卷 1-3页

作者： Carini, Alberto Ramponi, Giovanni Mathews, V. John Univ Urbino DiSPeA Piazza Repubbl 13 I-61029 Urbino Italy Univ Trieste DIA Via A Valerio 10 I-34127 Trieste Italy Oregon State Univ Sch Elect Engn & Comp Sci Corvallis OR 97331 USA

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Adaptive nonlinear L2 and L3 filters for speckled image processing 8

Adaptive nonlinear L2 and L3 filters for speckled image proc...

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conference on nonlinear image processing viii

作者： Lukin, VV Melnik, VP Chemerovsky, VI Astola, JT Kharkov Aviation Institute (Ukraine) Tampere Univ. of Technology (Finland)

ISBN: (纸本)0819424374

Here we propose adaptive nonlinear filters based on calculation and analysis of two or three order statistics in a scanning window. They are designed for processing images corrupted by severe speckle noise with non-symmetrical (Rayleigh or one-side exponential) distribution laws;impulsive noise can be also present. The proposed filtering algorithms provide trade-off between efficient speckle noise suppression, robustness, good edge/detail preservation, low computational complexity, preservation of average level for homogeneous regions of images. Quantitative evaluations of the characteristics of the proposed filter are presented as well as the results of the application to real synthetic aperture radar and ultrasound medical images.

关键词： Speckle Digital filtering image filtering nonlinear filtering image processing Filtering (signal processing) Optical filters Statistical analysis Medical imaging Ultrasonography

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Mixed median filters and their properties 8

Mixed median filters and their properties

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conference on nonlinear image processing viii

作者： Grigoryan, AM Institute for Problems of Informatics and Automation (Armenia) and Texas A&M Univ. (United States)

ISBN: (纸本)0819424374

A new concept of a mixed median filter that generalizes the traditional median filter is considered. These kinds of median filters units the various filters using in signal and image processing, including the weighted median filters, order statistic filters, dilation and erosion of functions by the set. By means of the mixed median filters, the corresponding minimizing conditions for the order statistics are given. The threshold decomposition properties of the mixed median filter is considered to show that unlike stack filters the firsts are determined by different Boolean functions at the threshold levels. Representation of the mixed median filter and its basis statistical properties are studied.

关键词： Digital filtering Filtering (signal processing) Electronic filtering image filtering Binary data nonlinear filtering Signal processing image processing Radon Mathematical morphology

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Cubic generalized B-splines for interpolation and nonlinear filtering of images 8

Cubic generalized B-splines for interpolation and nonlinear ...

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conference on nonlinear image processing viii

作者： Tshughuryan, H Institute for Problems of Informatics and Automation (Armenia)

ISBN: (纸本)0819424374

This paper presents the introduction and using of the generalized or parametric B-splines, namely the cubic generalized B-splines, in various signal processing applications. The theory of generalized B-splines is briefly reviewed and also some important properties of generalized B-splines are investigated. In this paper it is shown the ase of generalized B-splines as a tool to solve the quasioptimal algorithm problem for nonlinear filtering. Finally, the experimental results are presented for oscillatory and other signals and images.

关键词： spline-interpolation generalized B-spline nonlinear filtering

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Feature preserving lossy image compression using nonlinear PDE's

Feature preserving lossy image compression using nonlinear P...

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SPIE conference on Advanced Signal processing Algorithms, Architectures, and Implementations viii

作者： Chan, TF Zhou, HM Univ Calif Los Angeles Dept Math Los Angeles CA 90095 USA

ISBN: (纸本)0819429163

In this report, we propose combining the Total Variation denoising method with the high loss wavelet compression for high noise level images. Numerical experiments show that TV-denoising can bring more wavelet coefficients closer to zero thereby making the compression more efficient while the salient features (edges) of the images can still be retained.

关键词： image compression Wavelets Denoising Tolerancing Wavelet transforms image processing image quality Palladium Automatic target recognition image storage

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Comparisons of linear and nonlinear pyramid schemes for signal and image processing 8

Comparisons of linear and nonlinear pyramid schemes for sign...

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conference on nonlinear image processing viii

作者： Morales, A Ko, SS KOREA UNIV DEPT ELECT ENGNSEOUL 136701SOUTH KOREA

ISBN: (纸本)0819424374

Linear filters banks are being used extensively in image and video applications. New research results in wavelet applications for compression and de-noising are constantly appearing in the technical literature. On the other hand, non-linear filter banks are also being used regularly in image pyramid algorithms. There are some inherent advantages in using non-linear filters [1] instead of linear filters when non-Gaussian processes are present in images. However, a consistent way of comparing performance criteria between these two schemes has not been fully developed yet. In this paper a recently discovered tool, sample selection probabilities [16], is used to compare the behavior of linear and non-linear filters. In [16] the conversion from weights of order statistics (OS) filters to coefficients of the impulse response is obtained through these probabilities, However, the reverse problem: the conversion from coefficients of the impulse response to the weights of OS filters is not yet fully understood. One of the reasons for this difficulty is the highly non-linear nature of the partitions and generating function used in [16]. In the present paper the problem is posed as an optimization of integer linear programming subject to constraints directly obtained from the coefficients of the impulse response. Although the technique to be presented is not completely refined, it certainly appears to be promising. Some results will be shown.

关键词： nonlinear filtering Digital filtering Linear filtering image processing Computer programming Lithium image filtering nonlinear image processing nonlinear optics Signal processing

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Mathematical morphology for angle-valued images 8

Mathematical morphology for angle-valued images

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conference on nonlinear image processing viii

作者： Peters, RA Vanderbilt Univ. (United States)

ISBN: (纸本)0819424374

Mathematical Morphology (MM) can be defined in terms of complete lattices. Thus, MM is useful for the processing of binary images or of single-valued intensity images - images for which a partial ordering, hence a lattice structure, is apparent. The lattice structure of an intensity image is manifest through set inclusion with ordering on intensity. It is always possible to define majorants and minorants for collections of sets that are intensities with spatial support, Not all the components of a color image can be ordered trivially, In particular, hue is angle-valued. Consequently, MM has not been as useful for color image. processing (as for grayscale or binary image processing) because it has not been not clear how to define set inclusion for angle valued images. This paper contains definitions for erosion, dilation. opening, and closing for angle-valued images using hue as the exemplar. The fundamental idea is to define a structuring element (SE) with a given hue or hues. From each image neighborhood of the SE, the erosion operation returns the hue value that is closest to the hue of the corresponding SE member. Examples of the effects of the operators on a color noise field are shown, Histograms demonstrate the effects of the operators on the hue distributions.

关键词： mathematical morphology color morphology nonlinear image processing image algebra lattice theory color image processing vector image processing vector-valued angle-valued hue

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image compression for functional imaging 8

Image compression for functional imaging

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conference on nonlinear image processing viii

作者： Feng, DG Li, XJ Siu, WC HONG KONG POLYTECH UNIV DEPT ELECT ENGNHONG KONGHONG KONG

ISBN: (纸本)0819424374

Function imaging has been playing an important role in modern biomedical research and clinical diagnosis, which provides human internal biochemical information previously not available. However, for a routine dynamic study with a typical medical function imaging system, such as Positron Emission Tomography (PET), it is easily to acquire nearly 1000 images (i.e., volume + time to form a four dimensional time varying volume image) for just one patient in one study. Such a large number of images has given a considerable burden for computer image storage space, data processing and transmission time. In this paper, we present the theory and principles for the minimization of image frames in dynamic biomedical function imaging. We show that the minimum number of image frames required is just equal to the model identifiable parameters and that the quality of the physiological parameter estimation, based on these minimum number of image frames, can be controlled at a comparable level. As a result of our study, the image storage space required can be reduced by more than 80%.

关键词： function imaging image compression nonlinear image modeling nonlinear statistical estimation

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Pyramid of hypergraphs for image processing 8

Pyramid of hypergraphs for image processing

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conference on nonlinear image processing viii

作者： Konik, H Bretto, A Laget, B Univ. Jean Monnet (France)

ISBN: (纸本)0819424374

There is a lack of general models in image processing, particularly for image segmentation. Actually, each treatment must combine several classical features, such as grey level values, neighborhood and spatial distribution. In fact, an image can be studied both as an aspect of geometry and as an aspect of combinatorics. Here, to each digital image we associate a neighborhood hypergraph. This general model is in fact clearly adapted to include grey level and neighborhood informations, and particularly for image segmentation. Moreover, the pyramid constitutes an efficient tool in image analysis, simulating the human vision in its attention focusing, through an individual and a contextual analysis of each region. This multiresolution scheme allows simultaneously relevant regions detection and detailed delineation. Then, combining the two approaches, a hypergraph segmentation is associated at each level of the pyramid. Finally, we use the evolution of this pyramid of hypergraphs for image segmentation and more generally modelization.

关键词： segmentation neighborhood hypergraph multiresolution process pyramid

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nonlinear improving of Karhunen-Loeve bases obtained by approximate 2D procedures 8

Nonlinear improving of Karhunen-Loeve bases obtained by appr...

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conference on nonlinear image processing viii

作者： Musatenko, YS Kurashov, VN Optical Processing Lab. Radio-Phys. Dept Kyiv University Ukraine

ISBN: (纸本)0819424374

In this paper we suggest two new algorithms for improving approximate Karhunen-Loeve (KL) bases for image processing problems. One of them is an algorithm for finding the best 2D approximate KL basis, the second is a nonlinear 2D algorithm with previous image preparation. By 2D bases is meant the basis for which 2D-basis functions are obtained as a product of 1D-functions. We show that in such sense the best 2D basis for a given ensemble really exists, and we offer the procedure for its construction. The procedure is not fast, but in spite of this it permits to demonstrate that energy accumulation for such best basis in majority of cases is much worse than for true KL basis. Consequently, all fast 2D algorithms, such as wavelet-based algorithm of approximate KL transform, can't give sufficient energy accumulation. For the purpose to improve this situation we offer fast nonlinear procedure which reversibly transform image spatial properties in such a way that the processed ensemble has improved energy accumulation in KL bases obtained by above-mentioned fast algorithms of approximate KL transform.

关键词： nonlinear optimization Karhunen-Loeve transform wavelet representation image compression

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