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Analyzing Oriented Patterns

Analyzing Oriented Patterns,Michael Kass,Andrew P. Witkin

Analyzing Oriented Patterns   (Citations: 190)
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Oriented patterns, such as those produced by propaga­ tion, accretion, <>r deformation, ore common in nature and therefore an important class for visual analysis. Our ap- proach to understanding such patterns is to decompose them into two parts: a flow field, describing the direction of anisotropy, and the residual pattern obtained by de­ scribing the image in a coordinate system built, from the flow field. We develop a method for the local estimation of anisotropy and a method for combining the estimates to construct a flow coordinate system. Several examples of the use of these methods are presented. These included the use of the (low coordinates to provide preferred di­ rections for edge detection, detection of anomalies, fitting simple models to the straightened pattern, and detecting singularities in the flow field.
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    • ...derivative information). It has been shown that the n-jet completely describes the derivative structure of an image (Kass and Witkin 1987; Koenderink and van Doorn 1987)...
    • ...The derivative structure of an image is described (in a complete sense) by means of the n-jet, see (Koenderink and van Doorn 1987) and (Kass and Witkin 1987)...

    Arjan Gijsenijet al. Generalized Gamut Mapping using Image Derivative Structures for Color ...

    • ...The orientation field describes the coarse struc ture of nerve fibres in the CCM images and has been proven to be of a fu ndamental importance in many image analysis applications [11, 12] . Using the least mean square algorithm [10], the local orientation �ij of the block centred at pixel (i,j), Equation (3), is computed using the following equations [11],...

    M. A. Dabbahet al. Nerve Fibre Extraction in Confocal Corneal Microscopy Images for Human...

    • ...The motivation for the proposed method can be found by analysing the almost exclusively used method in literature for orientation smoothing, proposed by Witkin and Kass [5] more than two decades ago...
    • ...The almost exclusively used method in literature as well as in commercial fingerprint matching modules for smoothing orientation has been brought up by Witkin and Kass [5] more than 20 years ago...
    • ...Witkin and Kass [5] proposed the doubling of the orientation angle (sometimes also denoted as squaring the orientation vector, see [1])...
    • ...Every orientation smoothing approach which is based on the above mentioned approach of Witkin and Kass [5], will have a poor smoothing capability in high curvature areas...
    • ...In 1(b) the orientation field after vectorial smoothing (using the approach of Witkin and Kass [5]) can be seen...
    • ...Both methods base their smoothing feature on the doubled angle averaging method of Witkin and Kass [5]...
    • ...The motivation for the second step can be found by analysing the almost exclusively used method in literature for orientation smoothing, proposed by Witkin and Kass [5] more than 20 years ago...

    Surinder Ramet al. Curvature preserving fingerprint ridge orientation smoothing using Leg...

    • ...Traditional approaches usually extract the orientation flow directly by computing the intensity gradient from the input fingerprint image [3, 4, 5, 6]. The results are then commonly smoothed by some local averaging, diffusion, or voting methods in order to reduce the effects of noise [7, 8, 9]. These type of methods usually work fairly well for a large number of good quality fingerprint images, but we believe that they can be improved for ...

    Kuang-chih Leeet al. Probabilistic orientation field estimation for fingerprint enhancement...

    • ...The local orientation in the image is obtained by calculating the first derivatives in two orthogonal directions (Kass and Witkin, 1987) and the edge orientation can be simply determined using the expression illustrated in equation 1...

    Dana Elena Ileaet al. Evaluation of local orientation for texture classification

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