New algebraic conditions for the identification of the relative position of two coplanar ellipses

DOI10.1016/j.cagd.2017.03.013zbMath1366.65036OpenAlexW2611463991MaRDI QIDQ2357721

Federico Thomas, Borja Elizalde, Maria Alberich-Carramiñana

Publication date: 14 June 2017

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/115506

zbMATH Keywords

ellipsespencils of conicsinterference detectionpositional relationshipsSturm-Habicht sequences

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (2)

Classification of the relative positions between a small ellipsoid and an elliptic paraboloid ⋮ Solving the interference problem for ellipses and ellipsoids: new formulae

Uses Software

• GTEngine

Cites Work

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• Equations, inequations and inequalities characterizing the configurations of two real projective conics
• Analytic projective geometry
• A new approach to characterizing the relative position of two ellipses depending on one parameter
• Perspectives on Projective Geometry
• A Geometric Interpretation of the Solution of the General Quartic Polynomial
• Invariant-Based Characterization of the Relative Position of Two Projective Conics
• An algebraic condition for the separation of two ellipsoids
• Calculating ellipse overlap areas

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