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2008
ACM

Kinematic convexity of spherical displacements and its application to collision prediction

8 years 2 months ago
Kinematic convexity of spherical displacements and its application to collision prediction
In recent years, there has been an increasing interest in developing geometric algorithms for kinematic computations. The aim of this paper is to present the notion of kinematic convexity as a key element for a new framework for spherical kinematic geometry that allows for the development of more elegant and efficient algorithms for geometric computations in kinematic applications. The resulting framework, called computational spherical kinematic geometry, is developed by combining the oriented projective geometry with the kinematic geometry of spherical motions. By extending the idea of convexity in affine geometry to an oriented image space of spherical displacements, the notion of kinematic convexity is proposed. A novel application to the collision prediction problem is presented to illustrate the theory developed. CR Categories: I.3.5 [Computing Methodologies]: COMPUTER GRAPHICS--Computational Geometry and Object Modeling; I.2.9 [Computing Methodologies]: ARTIFICIAL INTELLIGENCE-...
Qiaode Jeffrey Ge, Anurag Purwar, Jun Wu
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where SMA
Authors Qiaode Jeffrey Ge, Anurag Purwar, Jun Wu
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