论文标题

球体值信号的Tikhonov正规化

Tikhonov Regularization of Sphere-Valued Signals

论文作者

Condat, Laurent

论文摘要

通常必须处理信号,其值是3-D球体上的点。我们考虑一个Tikhonov型正则化模型,以平滑或插值球体值信号在任意图上定义。我们提出将这个非概念问题作为半决赛程序的凸放松,该程序易于在数值上求解并且在实践上是有效的。

It is common to have to process signals, whose values are points on the 3-D sphere. We consider a Tikhonov-type regularization model to smoothen or interpolate sphere-valued signals defined on arbitrary graphs. We propose a convex relaxation of this nonconvex problem as a semidefinite program, which is easy to solve numerically and is efficient in practice.

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