论文标题
关于约束正规化，级别集和形状优化之间的关系
On the relation between constraint regularization, level sets, and shape optimization
论文作者
论文摘要
我们考虑基于Tikhonov正则化和投影策略的耦合的正则化方法。从最终的约束正则化方法中，我们以直接的方式获得了级别集合方法。此外，我们表明这种方法将渐近正则化的领域与反问题理论，规模空间理论与计算机视觉，水平设定方法和形状优化联系起来。
We consider regularization methods based on the coupling of Tikhonov regularization and projection strategies. From the resulting constraint regularization method we obtain level set methods in a straight forward way. Moreover, we show that this approach links the areas of asymptotic regularization to inverse problems theory, scale-space theory to computer vision, level set methods, and shape optimization.
