This paper proposes a new grid-free adaptive advection scheme. The resulting algorithm is a combination of the semi-Lagrangian method (SLM) and the grid-free radial basis function interpolation (RBF). The set of scattered interpolation nodes is subject to dynamic changes at run time: Based on a posteriori local error estimates, a self-adaptive local refinement and coarsening of the nodes serves...

An efficient algorithm addressing robust disparity estimation based on region information is proposed. In the proposed method, a new adaptive-size window approach is introduced to stereo matching in order to overcome problems with fixed-size window. The reliability of disparity estimation is then measured with a criterion based on uniqueness and smoothness constrains. In occluded areas and imag...

In previous work, a new adaptive meshfree advection scheme for numerically solving linear transport equations has been proposed. The scheme, being a combination of an adaptive semi-Lagrangian method and local radial basis function interpolation, is essentially a method of backward characteristics. The adaptivity of the meshfree advection scheme relies on customized rules for the refinement and ...