Affine invariant fitting of algebraic curves using Fourier descriptors

DOI10.1007/s10044-005-0245-6zbMath1422.68226OpenAlexW2008573778MaRDI QIDQ851717

Mustafa Unel, Sait Sener

Publication date: 22 November 2006

Published in: PAA. Pattern Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10044-005-0245-6

zbMATH Keywords

robustnessfittingimplicitizationalgebraic curvesobject recognitionFourier descriptorsaffine invarianceimplicit polynomialsmatrix annihilation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Machine vision and scene understanding (68T45)

Related Items (5)

Detecting symmetries of rational plane and space curves ⋮ Detecting similarities of rational plane curves using complex differential invariants ⋮ Detecting similarity of rational plane curves ⋮ Efficient detection of symmetries of polynomially parametrized curves ⋮ The problem of detecting when two implicit plane algebraic curves are similar

Cites Work

• Pose estimation and object identification using complex algebraic representations
• Implicitization of parametric curves by matrix annihilation
• On the construction of complete sets of geometric invariants for algebraic curves
• Improving the stability of algebraic curves for applications
• Implicit representation of parametric curves and surfaces
• Parameterized families of polynomials for bounded algebraic curve and surface fitting
• Fourier Descriptors for Plane Closed Curves
• Fourier Preprocessing for Hand Print Character Recognition
• Unnamed Item

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