matlab中18张彩色图片基于范数的全变分图像融合算法代码

以下是基于范数的全变分图像融合算法的 MATLAB 代码：

% 读取18张彩色图片
for i = 1:18
    img{i} = imread(['img', num2str(i), '.jpg']);
end

% 定义融合结果大小
result_size = size(img{1});

% 定义全变分模型参数
lambda = 0.1;
mu = 500;

% 定义全变分模型算法参数
tol = 1e-3;
maxit = 200;

% 初始化融合结果
result = zeros(result_size(1), result_size(2), 3);

% 对每个颜色通道进行融合
for k = 1:3
    % 初始化全变分模型变量
    u = zeros(result_size(1), result_size(2));
    p = zeros(result_size(1), result_size(2), 2);
    divp = zeros(result_size(1), result_size(2));
    
    % 构造矩阵A和向量b
    A = zeros(result_size(1) * result_size(2), result_size(1) * result_size(2));
    b = zeros(result_size(1) * result_size(2), 1);
    for i = 1:result_size(1)
        for j = 1:result_size(2)
            idx = (i - 1) * result_size(2) + j;
            A(idx, idx) = 4 * mu + lambda;
            if i > 1
                A(idx, idx - result_size(2)) = -mu;
            end
            if i < result_size(1)
                A(idx, idx + result_size(2)) = -mu;
            end
            if j > 1
                A(idx, idx - 1) = -mu;
            end
            if j < result_size(2)
                A(idx, idx + 1) = -mu;
            end
            b(idx) = lambda * img{1}(i, j, k);
            for n = 2:18
                b(idx) = b(idx) + lambda * img{n}(i, j, k);
            end
        end
    end
    
    % 求解全变分模型
    for iter = 1:maxit
        % 更新u
        [u, rhs] = reshape(A * reshape(u + divp / mu - p, [], 1) + b, result_size(1), result_size(2));
        % 更新p
        for i = 1:result_size(1)
            for j = 1:result_size(2)
                if i > 1
                    p(i, j, 1) = max(p(i, j, 1) + mu * (u(i, j) - u(i - 1, j)), 0);
                end
                if i < result_size(1)
                    p(i, j, 1) = min(p(i, j, 1) + mu * (u(i, j) - u(i + 1, j)), 0);
                end
                if j > 1
                    p(i, j, 2) = max(p(i, j, 2) + mu * (u(i, j) - u(i, j - 1)), 0);
                end
                if j < result_size(2)
                    p(i, j, 2) = min(p(i, j, 2) + mu * (u(i, j) - u(i, j + 1)), 0);
                end
            end
        end
        % 更新divp
        divp = p(:, :, 1) - [p(1, :, 1); p(1:result_size(1)-1, :, 1)] + ...
               p(:, :, 2) - [p(:, 1, 2), p(:, 1:result_size(2)-1, 2)];
        % 检查收敛情况
        if norm(rhs(:)) < tol
            break;
        end
    end
    
    % 将融合结果的当前颜色通道赋值为u
    result(:, :, k) = u;
end

% 显示融合结果
imshow(uint8(result));

在运行代码之前，请确保将18张彩色图片放在当前 MATLAB 工作目录下，并分别命名为`img1.jpg`到`img18.jpg`。另外，代码中的全变分模型参数和算法参数都可以自行调整，以获得更好的融合效果。