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IEEE Transactions on Image Processing

Issue 6 • June 1996

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Displaying Results 1 - 25 of 28
  • Guest Editorial Introduction to the Special Issue on Nonlinear Image Processing

    Publication Year: 1996
    Request permission for commercial reuse | PDF file iconPDF (665 KB)
    Freely Available from IEEE
  • Bounded gray-level morphology and its applications to image representation

    Publication Year: 1996, Page(s):1067 - 1072
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2092 KB)

    Morphological skeletonization and decomposition are two well-known schemes for binary image representation, but they are not compact for gray-level images. In this correspondence, bounded gray-level morphology is used to improve their performances for gray-level image representation. Experimental results show that bounded gray-level morphology efficiently reduces the number of skeleton points and ... View full abstract»

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  • Differential morphology and image processing

    Publication Year: 1996, Page(s):922 - 937
    Cited by:  Papers (58)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1900 KB)

    Image processing via mathematical morphology has traditionally used geometry to intuitively understand morphological signal operators and set or lattice algebra to analyze them in the space domain. We provide a unified view and analytic tools for morphological image processing that is based on ideas from differential calculus and dynamical systems. This includes ideas on using partial differential... View full abstract»

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  • Gradient watersheds in morphological scale-space

    Publication Year: 1996, Page(s):913 - 921
    Cited by:  Papers (42)  |  Patents (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1016 KB)

    After introducing several results relating to the modification of the homotopy of gradient functions based on extrema in the base image and building on earlier results in morphological scale-space, we introduce a scale-space monotonicity theorem for regions of an image defined by watersheds of a gradient function modified to retain only the local minima or maxima of its smoothed parent image. We t... View full abstract»

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  • Extended permutation filters and their application to edge enhancement

    Publication Year: 1996, Page(s):855 - 867
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2196 KB)

    Extended permutation (EP) filters are defined and analyzed. In particular, we focus on extended permutation rank selection (EPRS) filters. These filters are constrained to output an order statistic from an extended observation vector. This extended vector includes N observation samples and K statistics that are functions of the observation samples. The rank permutations from selected samples in th... View full abstract»

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  • Binary random fields, random closed sets, and morphological sampling

    Publication Year: 1996, Page(s):899 - 912
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1252 KB)

    We theoretically formulate the problem of processing continuous-space binary random fields by means of mathematical morphology. This may allow us to employ mathematical morphology to develop new statistical techniques for the analysis of binary random images. Since morphological transformations of continuous-space binary random fields are not measurable in general, we are naturally forced to emplo... View full abstract»

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  • Fuzzy stack filters-their definitions, fundamental properties, and application in image processing

    Publication Year: 1996, Page(s):838 - 854
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2020 KB)

    A new fuzzy filter, called fuzzy stack filter (FSF), is proposed to extend the filtering capability of conventional stack filter (SF), which is based on the positive Boolean function (PBF) as its window operator. We fuzzify the onset and off-set of a given PBF to obtain two types of fuzzy PBFs. Then, we adopt the architecture of threshold decomposition to develop this new fuzzy filter with a fuzzy... View full abstract»

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  • Morphological operators for image and video compression

    Publication Year: 1996, Page(s):881 - 898
    Cited by:  Papers (65)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2888 KB)

    This paper deals with the use of some morphological tools for image and video coding. Mathematical morphology can be considered as a shape-oriented approach to signal processing, and some of its features make it very useful for compression. Rather than describing a coding algorithm, the purpose of this paper is to describe some morphological tools that have proved attractive for compression. Four ... View full abstract»

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  • Motion estimation using higher order statistics

    Publication Year: 1996, Page(s):1077 - 1084
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (892 KB)

    The objective of this paper is to introduce a fourth-order cost function of the displaced frame difference (DFD) capable of estimating motion even for small regions or blocks. Using higher than second-order statistics is appropriate in case the image sequence is severely corrupted by additive Gaussian noise. Some results are presented and compared to those obtained from the mean kurtosis and the m... View full abstract»

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  • Order statistic filter banks

    Publication Year: 1996, Page(s):827 - 837
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (788 KB)

    Filter banks play a major role in multirate signal processing where these have been successfully used in a variety of applications. In the past, filter banks have been developed within the framework of linear filters. It is well known, however, that linear filters may have less than satisfactory performance whenever the underlying processes are non-Gaussian. We introduce the nonlinear class of ord... View full abstract»

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  • A computational algorithm for minimizing total variation in image restoration

    Publication Year: 1996, Page(s):987 - 995
    Cited by:  Papers (90)  |  Patents (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1408 KB)

    A reliable and efficient computational algorithm for restoring blurred and noisy images is proposed. The restoration process is based on the minimal total variation principle introduced by Rudin et al. For discrete images, the proposed algorithm minimizes a piecewise linear l 1 function (a measure of total variation) subject to a single 2-norm inequality constraint (a measure of data fi... View full abstract»

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  • Template matching based on a grayscale hit-or-miss transform

    Publication Year: 1996, Page(s):1060 - 1066
    Cited by:  Papers (31)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (536 KB)

    This paper introduces a class of rank-order-based template matching criteria that are multiplier-free and independent of the dc variations of the image. The core component of these criteria is a grayscale morphological hit-or-miss transform (GHMT). Experimental results show that the GHMT features sharp and robust indications in the presence of Gaussian noise. The idea of the GHMT is used to develo... View full abstract»

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  • RBFN restoration of nonlinearly degraded images

    Publication Year: 1996, Page(s):964 - 975
    Cited by:  Papers (28)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2384 KB)

    We investigate a technique for image restoration using nonlinear networks based on radial basis functions. The technique is also based on the concept of training or learning by examples. When trained properly, these networks are used as spatially invariant feedforward nonlinear filters that can perform restoration of images degraded by nonlinear degradation mechanisms. We examine a number of netwo... View full abstract»

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  • The multicomponent AM-FM image representation

    Publication Year: 1996, Page(s):1094 - 1100
    Cited by:  Papers (54)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2008 KB)

    We compute AM-FM representations for multicomponent, nonstationary images using a statistical component model. Components are isolated with a filterbank comprising frequency and orientation selective channels. The modulating functions for each component are estimated from the channel responses using localized nonlinear operators followed by optimal MMSE estimators. We also demonstrate reconstructi... View full abstract»

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  • Order statistics learning vector quantizer

    Publication Year: 1996, Page(s):1048 - 1053
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1680 KB)

    We propose a novel class of learning vector quantizers (LVQs) based on multivariate data ordering principles. A special case of the novel LVQ class is the median LVQ, which uses either the marginal median or the vector median as a multivariate estimator of location. The performance of the proposed marginal median LVQ in color image quantization is demonstrated by experiments View full abstract»

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  • Image modeling using inverse filtering criteria with application to textures

    Publication Year: 1996, Page(s):938 - 949
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1452 KB)

    Statistical approaches to image modeling have largely relied upon random models that characterize the 2-D process in terms of its first- and second-order statistics, and therefore cannot completely capture phase properties of random fields that are non-Gaussian. This constrains the parameters of noncausal image models to be symmetric and, therefore, the underlying random field to be spatially reve... View full abstract»

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  • Directional processing of color images: theory and experimental results

    Publication Year: 1996, Page(s):868 - 880
    Cited by:  Papers (153)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1652 KB)

    The processing of color image data using directional information is studied. The class of vector directional filters (VDF), which was introduced by the authors in a previous work, is further considered. The analogy of VDF to the spherical median is shown, and their relation to the spatial median is examined. Moreover, their statistical and deterministic properties are studied, which demonstrate th... View full abstract»

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  • Fast recursive algorithms for morphological operators based on the basis matrix representation

    Publication Year: 1996, Page(s):1073 - 1077
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (428 KB)

    A real-time implementation method for the most general morphological system, the so-called grayscale function processing (FP) system is presented. The proposed method is an extension of our previous works (1993, 1995) using the matrix representation of the FP system with a basis matrix (BM) and a block basis matrix (BBM) composed of grayscale structuring elements (GSE). In order to further improve... View full abstract»

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  • An estimation algorithm for 2-D polynomial phase signals

    Publication Year: 1996, Page(s):1084 - 1087
    Cited by:  Papers (31)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (460 KB)

    We consider nonhomogeneous 2-D signals that can be represented by a constant modulus polynomial-phase model. A novel 2-D phase differencing operator is introduced and used to develop a computationally efficient estimation algorithm for the parameters of this model. The operation of the algorithm is illustrated using an example View full abstract»

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  • A training framework for stack and Boolean filtering-fast optimal design procedures and robustness case study

    Publication Year: 1996, Page(s):809 - 826
    Cited by:  Papers (25)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1672 KB)

    A training framework is developed in this paper to design optimal nonlinear filters for various signal and image processing tasks. The targeted families of nonlinear filters are the Boolean filters and stack filters. The main merit of this framework at the implementation level is perhaps the absence of constraining models, making it nearly universal in terms of application areas. We develop fast p... View full abstract»

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  • Extraction of high-resolution frames from video sequences

    Publication Year: 1996, Page(s):996 - 1011
    Cited by:  Papers (504)  |  Patents (51)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (5508 KB)

    The human visual system appears to be capable of temporally integrating information in a video sequence in such a way that the perceived spatial resolution of a sequence appears much higher than the spatial resolution of an individual frame. While the mechanisms in the human visual system that do this are unknown, the effect is not too surprising given that temporally adjacent frames in a video se... View full abstract»

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  • Algebraic methods for image processing and computer vision

    Publication Year: 1996, Page(s):976 - 986
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1116 KB)

    Many important problems in image processing and computer vision can be formulated as the solution of a system of simultaneous polynomial equations. Crucial issues include the uniqueness of solution and the number of solutions (if not unique), and how to find numerically all the solutions. The goal of this paper is to introduce to engineers and scientists some mathematical tools from algebraic geom... View full abstract»

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  • Nonlinear filtering of multivariate images under robust error criterion

    Publication Year: 1996, Page(s):1054 - 1060
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1208 KB)

    A class of nonlinear filters for multivariate data is introduced. A robust error criterion is minimized. Approximate algorithms for computing the filter output are developed. A polynomial signal model is used in applications where the signal amplitude has to be retained with high fidelity. Simulated data and RGB color image data are used in experiments View full abstract»

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  • A general framework for quadratic Volterra filters for edge enhancement

    Publication Year: 1996, Page(s):950 - 963
    Cited by:  Papers (36)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2716 KB)

    An inherent problem in most image enhancement schemes is the amplification of noise, which, due to Weber's law, is mostly visible in the darker portions of an image. Using a special class of quadratic Volterra filters, we can adapt the enhancement process in a computationally efficient way to the local image brightness because these filters are approximately equivalent to the product of a local me... View full abstract»

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  • MAP signal estimation in noisy sequences of morphologically smooth images

    Publication Year: 1996, Page(s):1088 - 1093
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (760 KB)

    Sidiropoulos et al. (1994) demonstrated that morphological openings and closings can be viewed as maximum a posteriori (MAP) estimators of morphologically smooth signals in signal-independent i.i.d. noise. The present authors extend these results to the M-fold independent observation case, and show that the aforementioned estimators are strongly consistent. We also demonstrate the validity of a th... View full abstract»

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Aims & Scope

IEEE Transactions on Image Processing focuses on signal-processing aspects of image processing, imaging systems, and image scanning, display, and printing.

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Meet Our Editors

Editor-in-Chief
Scott Acton
University of Virginia
Charlottesville, VA, USA
E-mail: acton@virginia.edu 
Phone: +1 434-982-2003