论文标题
通过梯度流对差异组的形状分析
Shape analysis via gradient flows on diffeomorphism groups
论文作者
论文摘要
我们研究图像注册问题的Sobolev差异性上的梯度流。能量功能量化了将模板转换为目标的效果，同时也惩罚了度量张量的变形。主要结果是流动良好。我们还根据动量图给出了梯度的几何描述。
We study a gradient flow on Sobolev diffeomorphisms for the problem of image registration. The energy functional quantifies the effect of transforming a template to a target, while also penalizing deformation of the metric tensor. The main result is well-posedness of the flow. We also give a geometric description of the gradient in terms of the momentum map.
