Home | Quick Search | Advanced Search | Bibliography submission | Bibliography submission using bibtex | Bibliography submission using bibtex file | Links | Help | Internal


TitleAn algebraic approach to Hough transforms
Author(s) Mauro C. Beltrametti, Lorenzo Robbiano
TypeArticle in Journal
AbstractThe 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]).
KeywordsHough transform, Gröbner basis, Family of schemes, Hough regularity
URL http://www.sciencedirect.com/science/article/pii/S002186931200453X
JournalJournal of Algebra
Pages669 - 681
Translation No
Refereed No