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Algebraic Separation Condition for Ellipsoids 1.0

  Date Added: August 27, 2013  |  Visits: 181

Algebraic Separation Condition for Ellipsoids

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A proximity query that is expressed as an algebraic condition for realtimecontinuous contact detection for ellipsoids moving under rigid body transformations.The algebraic condition is a quartic polynomial equation, also named as separation conditionor 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 todetermine 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 thatcomputes 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):531d-deOCt539, 2001. Jia, X., Choi, Y.-K., Mourrain, B., Wang, W. An algebraic approach to continuous collision detection for ellipsoids. Computer Aided Geometric Design, 28:164d-deOCt176, 2011

Requirements: No special requirements
Platforms: Matlab
Keyword: Algorithm Depending Efficient Ellipsoidal Leading Resolution Roots Simple Straightforward
Users rating: 0/10

License: Shareware Size: 10 KB
ALGEBRAIC SEPARATION CONDITION FOR ELLIPSOIDS RELATED
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