We propose a new direct coupling scheme based on the overset technique to tackle moving boundary problems within lattice Boltzmann framework. The is interpolation of distribution functions rather than moments, that is, macroscopic variables, and includes an additional hypothesis ensuring mass momentum conservation at interface nodes between fixed grids. method assessed considering four test cas...

The perspective-three-point problem (P3P) is a classical problem in computer vision. The existing direct solutions of P3P have at least 3 limitations: (1) the numerical instability when using different vertex permutations, (2) the degeneration in the geometric singularity case, and (3) the dependence on particular equation solvers. A new direct solution of P3P is presented to deal with these li...

Two new methods for solving the symmetric saddle point problem are proposed. The first one is a generalization of Golub’s method for the augmented system formulation (ASF) and uses the Householder QR decomposition. The second method is supported by the singular value decomposition (SVD). Numerical comparison of some direct methods are given.

The aim of this study was to investigate the perception of possibilities for action (i.e., affordances) that depend on one's movement capabilities, and more specifically, the passability of a shrinking gap between converging obstacles. We introduce a new optical invariant that specifies in intrinsic units the minimum locomotor speed needed to safely pass through a shrinking gap. Detecting this ...