ROF算法 matlab完整代码
时间: 2023-07-26 07:42:02 浏览: 83
下面是ROF算法的Matlab完整代码:
```matlab
function u = ROF(f, lambda, tau, epsilon)
% ROF算法实现
% 输入:原始图像f,正则化参数lambda,步长参数tau,停止条件epsilon
% 输出:去噪后的图像u
% 初始化
u = f;
[height, width] = size(f);
delta = zeros(height, width, 2);
while true
% 梯度计算
grad_u = grad(u);
normDu = sqrt(sum(grad_u.^2, 3));
% 更新delta
delta(:, :, 1) = delta(:, :, 1) + tau*grad_u(:, :, 1)./repmat(normDu + epsilon, [1 1 2]);
delta(:, :, 2) = delta(:, :, 2) + tau*grad_u(:, :, 2)./repmat(normDu + epsilon, [1 1 2]);
% 更新u
u = (u + lambda*div(delta))./(1 + lambda*sqrt(sum(delta.^2, 3)));
% 判断停止条件
if norm(u - f, 'fro')/norm(f, 'fro') < epsilon
break
end
end
end
% 梯度计算
function Du = grad(u)
[height, width] = size(u);
Du = zeros(height, width, 2);
Du(:, :, 1) = circshift(u, [0 -1]) - u;
Du(:, end, 1) = 0;
Du(:, :, 2) = circshift(u, [-1 0]) - u;
Du(end, :, 2) = 0;
end
% 散度计算
function div_u = div(u)
[height, width, ~] = size(u);
div_u = zeros(height, width);
div_u(:, 2:end) = u(:, 2:end, 1) - u(:, 1:end-1, 1);
div_u(2:end, :) = div_u(2:end, :) + u(2:end, :, 2) - u(1:end-1, :, 2);
end
```
其中,grad函数计算图像的梯度,div函数计算图像梯度的散度。