Introduction to theoretical kinematics
Introduction to theoretical kinematics
Parallel Robots
Computational Line Geometry
From curve design algorithms to the design of rigid body motions
The Visual Computer: International Journal of Computer Graphics
Energy-minimizing splines in manifolds
ACM SIGGRAPH 2004 Papers
Smooth subdivision of tetrahedral meshes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Generalized penetration depth computation
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Generalized penetration depth computation based on kinematical geometry
Computer Aided Geometric Design
Knowledge acquisition in inconsistent multi-scale decision systems
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
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We present two subdivision schemes for the fair discretization of the spherical motion group. The first one is based on the subdivision of the 600-cell according to the tetrahedral/octahedral subdivision scheme in [S. Schaefer, J. Hakenberg, J. Warren, Smooth subdivision of tetrahedral meshes, in: R. Scopigno, D. Zorin (Eds.), Eurographics Symposium on Geometry Processing, 2004, pp. 151-158]. The second presented subdivision scheme is based on the spherical kinematic mapping. In the first step we discretize an elliptic linear congruence by the icosahedral discretization of the unit sphere. Then the resulting lines of the elliptic three-space are discretized such that the difference in the maximal and minimal elliptic distance between neighboring grid points becomes minimal.