Solving the interference problem for ellipses and ellipsoids: new formulae

DOI10.1016/j.cam.2021.114072zbMath1491.65018OpenAlexW4205111140MaRDI QIDQ2075971

Laureano Gonzalez-Vega, Jorge Caravantes, Gema Maria Diaz Toca, Mario Fioravanti

Publication date: 16 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.114072

zbMATH Keywords

ellipsoidsellipsesevents detectioninterference problem

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Topological classification of the intersection curves of two quadrics using a set of discriminants ⋮ Contact detection between a small ellipsoid and another quadric

Cites Work

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• An algebraic approach to continuous collision detection for ellipsoids
• Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants
• A new approach for constructing subresultants
• Classification of the relative positions between a small ellipsoid and an elliptic paraboloid
• A new collision model for ellipsoidal particles in shear flow
• New algebraic conditions for the identification of the relative position of two coplanar ellipses
• Real algebraic numbers and polynomial systems of small degree
• A new approach to characterizing the relative position of two ellipses depending on one parameter
• Classification of the relative positions between a circular hyperboloid of one sheet and a sphere
• Effects of geometry on resistance in elliptical pipe flows
• Algorithms in real algebraic geometry
• An algebraic condition for the separation of two ellipsoids
• Calculating ellipse overlap areas

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