点云主曲率及高斯曲率matlab代码

点云的主曲率和高斯曲率可以使用以下MATLAB代码进行计算：

% load point cloud data
load('pointcloud.mat'); % replace with your point cloud data

% calculate normal vectors
normals = pcnormals(pointCloud(pointcloud));

% calculate curvature
[~, ~, curvatures] = pcfitplane(pointCloud(pointcloud));
curvatures = abs(curvatures);

% calculate principal curvatures
numPoints = size(pointcloud, 1);
principalCurvatures = zeros(numPoints, 2);
for i = 1:numPoints
    [eigenvectors, eigenvalues] = eig(cov(pointcloud(i, :)));
    principalCurvatures(i, :) = diag(eigenvalues)';
end

% calculate Gaussian curvature
gaussianCurvature = prod(principalCurvatures, 2);

% visualize results
figure;
subplot(2, 2, 1);
pcshow(pointCloud(pointcloud));
title('Point Cloud');

subplot(2, 2, 2);
pcshow(pointCloud(pointcloud), 'Normal', normals);
title('Normals');

subplot(2, 2, 3);
pcshow(pointCloud(pointcloud), 'Curvature', curvatures);
title('Curvature');

subplot(2, 2, 4);
pcshow(pointCloud(pointcloud), 'Color', gaussianCurvature);
title('Gaussian Curvature');

在这个例子中，`pointcloud` 是点云的数据，可以替换为您自己的数据。使用`pcnormals`函数计算法向量，`pcfitplane`函数计算曲率，`cov`函数计算协方差矩阵并使用`eig`函数计算主曲率。最后，通过计算主曲率的乘积计算高斯曲率，并使用`pcshow`函数可视化结果。