New Exact and Numerical Solutions of the (Convection-)Diffusion Kernels on SE(3)

J. M. Portegies, R. Duits

We consider hypo-elliptic diffusion and convection-diffusion on ${\mathbb{R}}^3⋊S^2$, the quotient of the Lie group of rigid body motions SE(3) in which group elements are eq…