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Collision Detection for Moving Polyhedra

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dc.creator Canny, John
dc.date 2004-10-01T20:17:19Z
dc.date 2004-10-01T20:17:19Z
dc.date 1984-10-01
dc.date.accessioned 2013-10-09T02:40:22Z
dc.date.available 2013-10-09T02:40:22Z
dc.date.issued 2013-10-09
dc.identifier AIM-806
dc.identifier http://hdl.handle.net/1721.1/5621
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We consider the problem of moving a three dimensional solid object among polyhedral obstacles. The traditional formulation of configuration space for this problem uses three translational parameters and three angles (typically Euler angles), and the constraints between the object and obstacles involve transcendental functions. We show that a quaternion representation of rotation yields constraints which are purely algebraic in a higher-dimensional space. By simple manipulation, the constraints may be projected down into a six dimensional space with no increase in complexity. Using this formulation, we derive an efficient exact intersection test for an object which is translating and rotating among obstacles.
dc.format 17 p.
dc.format 1836593 bytes
dc.format 1296892 bytes
dc.format application/postscript
dc.format application/pdf
dc.language en_US
dc.relation AIM-806
dc.subject collision detection
dc.subject collision avoidance
dc.subject motion planning
dc.subject srobotics
dc.subject geometric modelling
dc.title Collision Detection for Moving Polyhedra


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