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In order to satisfy zero-flow boundary conditions at a solid sphere, the image system for singular Stokeslets is generalized to give exact cancellation of the regularized flow at the surface of the sphere.
In order to satisfy zero-flow boundary conditions at a plane wall, the method of images derived for a standard (singular) Stokeslet is extended to give exact cancellation of the regularized flow at the wall.
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This condition matches the smooth flow assumption that is considered when regularizing the flow field: begin{array}rcl@ frac{partial g }{partial t}+boldsymbol{phi} nabla g&=&0, end{array} (1).
Dams regularize the flow of water, discourage floods, and, by storing water in reservoirs, minimize the impact of droughts.
"But if they truly believe it's a good idea to regularize the flow of immigrants, they need to look just beyond Mexicans".
For the filtering the geodesic mean curvature flow in level set formulation is used, for the cell center detection the motion of level sets by a constant speed regularized by mean curvature flow is used and the solution of the eikonal equation is essential for the cell trajectories extraction.
This reform greatly increased Rome's net revenue from its territorial acquisitions, stabilized its flow, and regularized the financial relationship between Rome and the provinces, rather than provoking fresh resentments with each new arbitrary exaction of tribute.
surrounding each area or regularizing the optical flow [9]; (c) linking control variables to movements, that is, capturing and modeling realistic covariations of geometric changes all over the lower face by independent articulations, for example, jaw rotation, lip opening, and lip rounding all change shape of lips and nose wings.
However, our main point in this work has been to investigate how well a core field model inversion process can be regularized by constraints applied on the co-estimated flow model.
Transparent, dotted lines = all remaining partial regularized correlation relationships.
This problem is regularized by means of the Tikhonov method.
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