✅作者简介热爱科研的Matlab仿真开发者擅长毕业设计辅导、数学建模、数据处理、程序设计科研仿真。完整代码获取 定制创新 论文复现点击Matlab科研工作室 关注我领取海量matlab电子书和数学建模资料个人信条做科研博学之、审问之、慎思之、明辨之、笃行之是为博学慎思明辨笃行。 内容介绍一、引言图像重建在许多领域如医学成像、遥感、计算机视觉等都扮演着至关重要的角色。受限全变差Constrained Total Variation, TV模型作为一种经典的图像重建方法能够有效地去除噪声并保留图像的边缘信息。然而直接求解受限全变差模型往往面临计算上的挑战。分裂布雷格曼Split Bregman形式为解决这一难题提供了一种高效且灵活的途径它通过引入辅助变量和布雷格曼迭代将复杂的优化问题分解为多个相对简单的子问题进行求解。二、受限全变差图像重建模型⛳️ 运行结果 部分代码% TV_SB_2D solves the 2D constrained total variation image reconstruction% problem using the Split Bregman formulation.%% Inputs:% J Linear operator or Jacobian that maps image pixels into% measurements, matrix of size mxn, where m and n are the number of% measurements and pixels, respectively% f data, a column vector mx1% N image size vector [size_x size_y]% mu 1 (decrease if data is noisy and increase for faste% convergence)% lambda 1, regularization parameter% gamma 1, regularization parameter% nInner 1% nBreg the number of Bregman iterations. Choose a number of% iterations such that the method converges (for that see the solution% error norm errAll)% uTarget target image solution of size N used to compute the error% R logical indices of same size as data%% Outputs:% u image of size N%% 参考文献J, Vaquero JJ, Desco M. Fluorescence diffuse optical tomography using the split Bregman method. Med Phys. 38(11):6275-84, 2011. DOI: http://dx.doi.org/10.1118/1.3656063更多免费数学建模和仿真教程关注领取