propose a restarted homotopy perturbation method (RHPM) for solving a nonlinear PDE problem which repeats HPM process by computing only the first few terms instead of computing infinite terms, and then we present an application of RHPM to TV- (Total Variation-) based image denoising problem. Th...
%%% Demo for denoising a circle-valued signal by the L1-TV model % create random signal (smoothed pcw constant signal)rng(12345) % random seed for reproducibilityN = 2000;t = 2*pi;lambda = 20 / N;K = 20;sigma= 0.3;innovation = randCP((rand([N, 1])-0.5) * t, lambda );signa...
A well-known drawback of the ROF model is the possible occurrence of staircasing effects whenever two neighboring areas of an image are both smoothed out and an abrupt spurious discontinuity is pro- duced in the denoising process. To counteract this effect a canonical solution (among others ...
Total Variation Regularization 另一种叫法是 total variation denoising ,即降噪,是不是更make sense一点,去掉不需要的细节,保留重要细节。 上图中,中间那个噪点很多,图象局部变化很大,可想而知其总变差是比较大的,那么加了 TV Regularization 后,则保证其平滑,起到了降噪的作用。回想之前讨论过的Horn-Schunck 方法...
However, they only consider its application in one-dimensional TV denoising [34]. Inspired by [29, 30], we introduce the Atan penalty function into traditional TV, define AtanTV, and apply it to MRI reconstruction. In summary, the main contributions are as follows: (i) For MRI ...
浙江大学硕士学位论文 Abstract Image denoising is aclassic problem in image processing.When WO get an image by atraditional way the image may contain noises from different sources.Noise will affect the quality of image,and it often has great influence on the subsequent image analysis,such as iamge...
第26卷第9期2014年9月系统仿真学报◎JournalofSystemSimulation、,01.26NO.9Sep.,2014非局部TV正则化的图像泊..
the total variation regular term maintains the discontinuity of the displacement field and protects the edge information from being blurred during the diffusion. The replaced regular term has a good denoising effect while keeping the edge information from being blurred. Secondly, the data items of TV...
Mathematical problem in image processing: Partial differential equations and the calculus of variations[M]. New York:Springer Science Business Media,2009. [19] Liu X W, Huang L H, Guo Z Y. Adaptive fourth-order partial differential equation filter for image denoising[J]. Appl Math Lett,2011,...
image denoising is formulated as a convex optimization problem, whose constraints are defined as limitations on local variations between neighboring pixels. We use Projections onto the Epigraph Set of the TV function (PES-TV) to solve this problem. Unlike other approaches in the literature, the PES...