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The Hough transform was initially developed to detect analytically defined shapes (e.g., line, circle, ellipse etc.). In these cases, we have knowledge of the shape and aim to find out its location and orientation in the image. The Generalised Hough Transform or GHT, introduced by Dana H. Ballard in 1981, is the modification of the Hough Transform using the principle of template matching.〔(D.H. Ballard, "Generalizing the Hough Transform to Detect Arbitrary Shapes", Pattern Recognition, Vol.13, No.2, p.111-122, 1981 )〕 This modification enables the Hough Transform to be used for not only the detection of an object described with an analytic function. Instead, it can also be used to detect an arbitrary object described with its model. The problem of finding the object (described with a model) in an image can be solved by finding the model's position in the image. With the Generalised Hough Transform, the problem of finding the model's position is transformed to a problem of finding the transformation's parameter that maps the model into the image. As long as we know the value of the transformation's parameter, the position of the model in the image can be determined. The original implementation of the GHT uses edge information to define a mapping from orientation of an edge point to a reference point of the shape. In the case of a binary image where pixels can be either black or white, every black pixel of the image can be a black pixel of the desired pattern thus creating a locus of reference points in the Hough Space. Every pixel of the image votes for its corresponding reference points. The maximum points of the Hough Space indicate possible reference points of the pattern in the image. This maximum can be found by scanning the Hough Space or by solving a relaxed set of equations, each of them corresponding to a black pixel. 〔 〕 ==Earlier Work== Merlin and Farber〔P. M . Merlin and D . J . Farber, “A parallel mechanism for detecting curves in pictures,” IEEE Trans . Comput . C24, 96-98 (1975)〕 showed how to use a Hough algorithm when the desired curves could not be described analytically. It was a precursor to Ballard’s algorithm but was restricted to translation and didn’t take into account rotation and scale changes.〔L. Davis, ("Hierarchical Generalized Hough Transforms and Line Segment Based Generalized Hough Transforms" ), University of Texas Computer Sciences, Nov 1980〕 The Merlin-Farber algorithm is impractical for real image data as in an image with a large number of edge pixels, there will be many false instances of the desired shape due to similar pixel arrangements. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Generalised Hough transform」の詳細全文を読む スポンサード リンク
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