Almost vanishing polynomials and an application to the Hough transform

DOI10.1142/S0219498814500571zbMath1318.26031arXiv1705.00158MaRDI QIDQ2878792

Maria-Laura Torrente, Mauro C. Beltrametti

Publication date: 5 September 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00158

zbMATH Keywords

image processingdualitycurve recognitionline recognition

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Pattern recognition, speech recognition (68T10) Plane and space curves (14H50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Real polynomials: location of zeros (26C10)

Related Items (6)

Perturbation of polynomials and applications to the Hough transform ⋮ Hough transform for detecting space curves in digital 3D models ⋮ Detecting curves of symmetry in images via Hough transform ⋮ Hough transform based recognition of space curves ⋮ \(r\)-norm bounds and metric properties for zero loci of real analytic functions ⋮ Geometry of the Hough transforms with applications to synthetic data

Uses Software

• CoCoA

Cites Work

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• Simple varieties for limited precision points
• An algebraic approach to Hough transforms
• Distance bounds of \(\varepsilon\)-points on hypersurfaces
• Hough Transform of Special Classes of Curves
• Use of the Hough transformation to detect lines and curves in pictures
• Least-Change Secant Update Methods for Underdetermined Systems

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