Almost vanishing polynomials and an application to the Hough transform
type: Item
instance of: scholarly article
title: Almost vanishing polynomials and an application to the Hough transform
zbMATH Open document ID: 1318.26031
DOI: 10.1142/S0219498814500571
author: M.-L. Torrente
author: Mauro C. Beltrametti
publication date: 2014-09-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1705.00158
Mathematics Subject Classification ID: 26C10
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 14Q10
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 68T10
zbMATH DE Number: 6340448
zbMATH Keywords: duality
zbMATH Keywords: image processing
zbMATH Keywords: line recognition
zbMATH Keywords: curve recognition
describes a project that uses: CoCoA
MaRDI profile type: Publication
arXiv ID: 1705.00158
cites work: Hough transform of special classes of curves
cites work: An algebraic approach to Hough transforms
cites work: Use of the Hough transformation to detect lines and curves in pictures
cites work: Simple varieties for limited precision points
cites work: Q3359644
cites work: Distance bounds of \(\varepsilon\)-points on hypersurfaces
cites work: Q4507801
cites work: Q5691068
cites work: Least-Change Secant Update Methods for Underdetermined Systems
published in: Journal of Algebra and its Applications
review text: Classically, the Hough transform has been introduced of finding lines in an image, by visualizing the lines as points in dual space and then looking for accumulations. The idea can be extended for circles and ellipses. In this paper, the authors introduce an algebraic geometry framework that treats the general situation. Exact calculations turns out to be an obstacle, hence concepts of approximate vanishing have to be used.
reviewed by: Josef Schicho
description: scientific article; zbMATH DE number 6340448