matlab高斯金字塔klt代码
时间: 2024-01-07 08:23:20 浏览: 29
以下是一个使用Matlab实现高斯金字塔和KLT(光流跟踪)的代码示例:
```matlab
% 创建高斯金字塔
function pyramid = createGaussianPyramid(image, levels)
pyramid = cell(1, levels);
pyramid{1} = image;
for i = 2:levels
pyramid{i} = impyramid(pyramid{i-1}, 'reduce');
end
end
% 计算图像梯度
function [Ix, Iy] = computeGradient(image)
kernel = [-1, 0, 1];
Ix = conv2(image, kernel, 'same');
Iy = conv2(image, kernel', 'same');
end
% 计算光流
function [u, v] = computeOpticalFlow(prevImage, currImage, windowSize, maxIterations, epsilon)
[Ix, Iy] = computeGradient(prevImage);
u = zeros(size(prevImage));
v = zeros(size(prevImage));
for i = 1:maxIterations
% 在每个像素位置计算误差
error = currImage - warpImage(prevImage, u, v);
% 计算误差的梯度
[Itx, Ity] = computeGradient(error);
% 构建矩阵A和向量b
A = zeros(2, 2);
b = zeros(2, 1);
for x = 1:size(prevImage, 2)
for y = 1:size(prevImage, 1)
A(1, 1) = A(1, 1) + Ix(y, x)^2;
A(1, 2) = A(1, 2) + Ix(y, x) * Iy(y, x);
A(2, 1) = A(2, 1) + Ix(y, x) * Iy(y, x);
A(2, 2) = A(2, 2) + Iy(y, x)^2;
b(1) = b(1) + Itx(y, x) * Ix(y, x);
b(2) = b(2) + Ity(y, x) * Iy(y, x);
end
end
% 解线性方程组
delta = pinv(A) * b;
% 更新光流
u = u + delta(1);
v = v + delta(2);
% 检查是否收敛
if norm(delta) < epsilon
break;
end
end
end
% 对图像进行仿射变换
function warpedImage = warpImage(image, u, v)
[X, Y] = meshgrid(1:size(image, 2), 1:size(image, 1));
Xp = X + u;
Yp = Y + v;
warpedImage = interp2(X, Y, image, Xp, Yp);
end
% 示例代码
prevImage = imread('prev_image.jpg');
currImage = imread('curr_image.jpg');
windowSize = 15;
maxIterations = 100;
epsilon = 0.01;
pyramid = createGaussianPyramid(prevImage, 3);
[u, v] = computeOpticalFlow(pyramid{1}, currImage, windowSize, maxIterations, epsilon);
% 显示光流结果
[X, Y] = meshgrid(1:size(prevImage, 2), 1:size(prevImage, 1));
quiver(X, Y, u, v);
```
请注意,这只是一个简单的示例代码,实际应用中可能需要进行更多的优化和改进。此外,你需要将`prev_image.jpg`和`curr_image.jpg`替换为你自己的图像文件。