کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585513 1630543 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An algebraic approach to Hough transforms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
An algebraic approach to Hough transforms
چکیده انگلیسی

The main purpose of this paper is to lay the foundations of a general theory which encompasses the features of the classical Hough transform and extend them to general algebraic objects such as affine schemes. The main motivation comes from problems of detection of special shapes in medical and astronomical images. The classical Hough transform has been used mainly to detect simple curves such as lines and circles. We generalize this notion using reduced Gröbner bases of flat families of affine schemes. To this end we introduce and develop the theory of Hough regularity. The theory is highly effective and we give some examples computed with CoCoA (see [1]).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 371, 1 December 2012, Pages 669-681