使用OpenCV转换和旋转3D图像

问题描述：

考虑到3 x 3旋转矩阵R和3 x 1平移矩阵T，我想知道如何将T和R矩阵乘以图像?

Given a 3 x 3 rotation matrix,R, and a 3 x 1 translation matrix,T, I am wondering how to multiply the T and R matrices to an image?

假设Iplimage img为640 x 480.

Lets say the Iplimage img is 640 x 480.

我想做的是R*(T*img).

我当时在考虑使用cvGemm，但这没用.

I was thinking of using cvGemm, but that didn't work.

答

您正在搜索的功能可能是warpPerspective():这是一个用例...

The function you are searching for is probably warpPerspective() : this is a use case...

// Projection 2D -> 3D matrix
        Mat A1 = (Mat_<double>(4,3) <<
            1, 0, -w/2,
            0, 1, -h/2,
            0, 0,    0,
            0, 0,    1);

// Rotation matrices around the X axis
        Mat R = (Mat_<double>(4, 4) <<
            1,          0,           0, 0,
            0, cos(alpha), -sin(alpha), 0,
            0, sin(alpha),  cos(alpha), 0,
            0,          0,           0, 1);

// Translation matrix on the Z axis 
        Mat T = (Mat_<double>(4, 4) <<
            1, 0, 0, 0,
            0, 1, 0, 0,
            0, 0, 1, dist,
            0, 0, 0, 1);

// Camera Intrisecs matrix 3D -> 2D
        Mat A2 = (Mat_<double>(3,4) <<
            f, 0, w/2, 0,
            0, f, h/2, 0,
            0, 0,   1, 0);

Mat transfo = A2 * (T * (R * A1));

Mat source;
Mat destination;

warpPerspective(source, destination, transfo, source.size(), INTER_CUBIC | WARP_INVERSE_MAP);

我希望它可以为您提供帮助，

I hope it could help you,

朱利安

PS:我给出了从2D到3D投影的示例，但是您可以直接使用transfo = T * R;

PS : I gave the example with a projection from 2D to 3D but you can use directly transfo = T* R;

使用OpenCV转换和旋转3D图像

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