59,707 research outputs found

    Optimum non linear binary image restoration through linear grey-scale operations

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    Non-linear image processing operators give excellent results in a number of image processing tasks such as restoration and object recognition. However they are frequently excluded from use in solutions because the system designer does not wish to introduce additional hardware or algorithms and because their design can appear to be ad hoc. In practice the median filter is often used though it is rarely optimal. This paper explains how various non-linear image processing operators may be implemented on a basic linear image processing system using only convolution and thresholding operations. The paper is aimed at image processing system developers wishing to include some non-linear processing operators without introducing additional system capabilities such as extra hardware components or software toolboxes. It may also be of benefit to the interested reader wishing to learn more about non-linear operators and alternative methods of design and implementation. The non-linear tools include various components of mathematical morphology, median and weighted median operators and various order statistic filters. As well as describing novel algorithms for implementation within a linear system the paper also explains how the optimum filter parameters may be estimated for a given image processing task. This novel approach is based on the weight monotonic property and is a direct rather than iterated method

    Releasing aperture filter constraints

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    Aperture ïŹlters are a recently introduced class of nonlinear ïŹlters used in image processing. In this paper we present a new approach for aperture ïŹlter design, improving operator performance with respect to the MSE measure by releasing some of the operator constraints without losing statistical estimation accuracy. With the use of the proposed methods an average of 34% MSE reduction was achieved for deblurring, whereas a standard aperture operator reduced the error by only 10% on the average

    Geddes at UCL “There was something more in town planning than met the eye!”

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    Patrick Geddes was at UCL from 1877 to 1878 although as a student of physiology, not as the ‘father of British Town Planning’ as he was to become. We explore his time here and the links he had both back to Charles Darwin and forward to Patrick Abercrombie. This is part of our wider quest to assess the impact of Geddes on evolutionary theory in the study of cities and planning of which we plan a more substantial paper which we will, in due course, post on this web site

    A new design tool for feature extraction in noisy images based on grayscale hit-or-miss transforms

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    The Hit-or-Miss transform (HMT) is a well known morphological transform capable of identifying features in digital images. When image features contain noise, texture or some other distortion, the HMT may fail. Various researchers have extended the HMT in different ways to make it more robust to noise. The most successful, and most recent extensions of the HMT for noise robustness, use rank order operators in place of standard morphological erosions and dilations. A major issue with the proposed methods is that no technique is provided for calculating the parameters that are introduced to generalize the HMT, and, in most cases, these parameters are determined empirically. We present here, a new conceptual interpretation of the HMT which uses a percentage occupancy (PO) function to implement the erosion and dilation operators in a single pass of the image. Further, we present a novel design tool, derived from this PO function that can be used to determine the only parameter for our routine and for other generalizations of the HMT proposed in the literature. We demonstrate the power of our technique using a set of very noisy images and draw a comparison between our method and the most recent extensions of the HMT

    I’m so Self-Conscious: Kanye West’s Rhetorical Wrestling with Theodicy and Nihilism

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    Whether Kanye’s plea to God is to intervene because “the devil’s trying to break [him] down,” or that he (Kanye) is “tryna keep [his] faith,” Kanye West’s lamentations communicate his wrestling of succumbing to sufferings within the world. Despite the twelve-year span between “Jesus Walks” and “Ultralight Beam,” Kanye West’s rhetoric in both songs attempt to make meaning of theodicy—suffering; while simultaneously combating nihilism—the lack of hope. As a professed Christian who articulates the multiplicity of God through Jesus and himself (Kanye West), affirmed on his 2013 album Yeezus track, “I am God,” West complicates religiosity and self-consciousness. He does so by situating himself as both God and human; recognizing limitations of God who has yet to impact his situation as a Black man in America, and his human-self that operates as a venerated deity. West’s consciousness is an amalgamation of his warring with theodicy and nihilism. My essay implements a theo-rhetorical analysis of “Jesus Walks” and “Ultralight Beam” exploring meaning-making processes of locating God. In doing so, I define theodicy and nihilism as repelling mores that aid in self-preservation for West

    Resonating valence bond wave function for the two dimensional fractional spin liquid

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    The unconventional low-lying spin excitations, recently observed in neutron scattering experiments on Cs2CuCl4{\rm Cs_2 Cu Cl_4}, are explained with a spin liquid wave function. The dispersion relation as well as the wave vector of the incommensurate spin correlations are well reproduced within a projected BCS wave function with gapless and fractionalized spin-1/2 excitations around the nodes of the BCS gap function. The proposed wave function is shown to be very accurate for one-dimensional spin-1/2 systems, and remains similarly accurate in the two-dimensional model corresponding to Cs2CuCl4{\rm Cs_2 Cu Cl_4}, thus representing a good ansatz for describing spin fractionalization in two dimensions.Comment: 5 pages, 4 figures. To appear in Phys. Rev. Let
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