Three-dimensional sphere $S^3$-attractors in Rayleigh-Bénard convection
The main objective of this article is to study dynamic of the ::: three-dimensional Boussinesq equations with the periodic boundary ::: condition.We prove that when the Rayleigh number $R$ crosses the ::: first critical Rayleigh number $R_c$, the Rayleigh-Benard problem ::: bifurcates from the basic state to an global attractor $\Sigma$, which is homeomorphic to $S^3$.
passive depth estimation techniques with improved precision can replace active methods in 3D cameras. In this paper, we introduce accurate depth estimation from image focus using cubic degree Bezier-Bernstein polynomial. Experimental results demonstrate its accuracy and effectiveness for 3D shape recovery.