Are Two Ellipsoids in Contact? Algebraic Separation Condition for Ellipsoids
A proximity query that is expressed as an algebraic condition for realtime
continuous contact detection for ellipsoids moving under rigid body transformations.
The algebraic condition is a quartic polynomial equation, also named as separation condition
or characteristic equation, which relates the geometric parameters of shape, spatial orientation,
and position of two ellipsoids. Depending on the sign of all four roots, it is possible to
determine the contact status. The resolution of the characteristic equation is straightforward,
leading to a simple and yet efficient algorithm for contact detection of ellipsoidal bodies that
computes the exact time interval of contact.
References:
Wang, W., Wang, J., Kim, M.-S.
An algebraic condition for the separation of two ellipsoids.
Computer Aided Geometric Design,
18(6):531–539, 2001.
Jia, X., Choi, Y.-K., Mourrain, B., Wang, W.
An algebraic approach to continuous collision detection for ellipsoids.
Computer Aided Geometric Design,
28:164–176, 2011.
Citation pour cette source
Daniel Lopes (2024). Are Two Ellipsoids in Contact? Algebraic Separation Condition for Ellipsoids (https://www.mathworks.com/matlabcentral/fileexchange/32172-are-two-ellipsoids-in-contact-algebraic-separation-condition-for-ellipsoids), MATLAB Central File Exchange. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Découvrir Live Editor
Créez des scripts avec du code, des résultats et du texte formaté dans un même document exécutable.
Algebraic Separation Condition/
Version | Publié le | Notes de version | |
---|---|---|---|
1.1.0.0 | Changed the title of the submission. |
||
1.0.0.0 |