论文标题
使用mumford-shah模型的变体的分数图像镶嵌模型
A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model
论文作者
论文摘要
在本文中，我们根据著名的Mumford-Shah（MS）图像分割模型提出了第四阶PDE模型，用于图像介入。凸电分解用于离散时间，我们在时间离散的方案中用其分数对应物代替了laplacian。傅立叶光谱方法用于空间离散化。已经实现了时间离散模型的一致性，稳定性和收敛性。该模型在某些标准测试图像上进行了测试，并将其与文献中存在一些模型的结果进行了比较。
In this paper, we propose a fourth order PDE model for image inpainting based on a variant of the famous Mumford-Shah (MS) image segmentation model. Convexity splitting is used to discrtised the time and we replace the Laplacian by its fractional counterpart in the time discretised scheme. Fourier spectral method is used for space discretization. Consistency, stability and convergence of the time discretised model has been carried out. The model is tested on some standard test images and compared them with the result of some models existed in the literature.
