论文标题
基于Mumford-Shah功能的图像分割的各向异性网状适应
Anisotropic Mesh Adaptation for Image Segmentation Based on Mumford-Shah Functional
论文作者
论文摘要
随着数字图像的分辨率大大增加，图像的处理在准确性和效率方面变得更具挑战性。在本文中，我们通过求解基于Mumford-Shah功能的部分分化方程（PDE）模型来考虑图像分割。我们通过结合图像表示和有限元方法的各向异性网格适应来开发一种新算法，以求解PDE模型。与通过有限差异方法求解的传统算法相比，我们的算法提供了更快，更好的结果，而无需调整图像以降低质量。我们还将算法扩展到具有多个区域的细分图像。
As the resolution of digital images increase significantly, the processing of images becomes more challenging in terms of accuracy and efficiency. In this paper, we consider image segmentation by solving a partial differentiation equation (PDE) model based on the Mumford-Shah functional. We develop a new algorithm by combining anisotropic mesh adaptation for image representation and finite element method for solving the PDE model. Comparing to traditional algorithms solved by finite difference method, our algorithm provides faster and better results without the need to resizing the images to lower quality. We also extend the algorithm to segment images with multiple regions.
