论文标题
关于存在各种几何活性轮廓的最小化器的注意事项
Note on the Existence of Minimizers for Variational Geometric Active Contours
论文作者
论文摘要
我们在这里提出了基于目标形状的先验信息的分割功能的最小化的证明，并以级别集为准。最小化的存在非常重要，因为它可以保证用于解决分割模型的任何数值方法（梯度下降技术和变体或PDE分辨率）的收敛性。这项工作也可以在许多其他分割模型中使用，以证明存在最小化器的存在。
We propose here a proof of existence of a minimizer of a segmentation functional based on a priori information on target shapes, and formulated with level sets. The existence of a minimizer is very important, because it guarantees the convergence of any numerical methods (either gradient descents techniques and variants, or PDE resolutions) used to solve the segmentation model. This work can also be used in many other segmentation models to prove the existence of a minimizer.
