Assign 3x1 mat to 3 channels mat - c++

Question

This question is continuance from my question in this link. After i get mat matrix, the 3x1 matrix is multiplied with 3x3 mat matrix.
for (int i = 0; i < im.rows; i++)
{
for (int j = 0; j < im.cols; j++)
{
for (int k = 0; k < nChannels; k++)
{
zay(k) = im.at<Vec3b>(i, j)[k]; // get pixel value and assigned to Vec4b zay
}
//convert to mat, so i can easily multiplied it
mat.at <double>(0, 0) = zay[0];
mat.at <double>(1, 0) = zay[1];
mat.at <double>(2, 0) = zay[2];
We get 3x1 mat matrix and do multiplication with the filter.
multiply= Filter*mat;
And i get mat matrix 3x1. I want to assign the value into my new 3 channels mat matrix, how to do that? I want to construct an images using this operation. I'm not use convolution function, because i think the result is different. I'm working in c++, and i want to change the coloured images to another color using matrix multiplication. I get the algorithm from this paper. In that paper, we need to multiplied several matrix to get the result.

Answer 1

OpenCV gives you a reshape function to change the number of channels/rows/columns implicitly:
http://docs.opencv.org/modules/core/doc/basic_structures.html#mat-reshape
This is very efficient since no data is copied, only the matrix header is changed.
try:
cv::Mat mat3Channels = mat.reshape(3,1);
Didn't test it, but should work. It should give you a 1x1 matrix with 3 channel element (Vec3d) if you want a Vec3b element instead, you have to convert it:
cv::Mat mat3ChannelsVec3b;
mat3Channels.convertTo(mat3ChannelsVec3b, CV_8UC3);
If you just want to write your mat back, it might be better to create a single Vec3b element instead:
cv::Vec3b element3Channels;
element3Channels[0] = multiply.at<double>(0,0);
element3Channels[1] = multiply.at<double>(1,0);
element3Channels[2] = multiply.at<double>(2,0);
But care in all cases, that Vec3b elements can't save values < 0 and > 255
Edit: After reading your question again, you ask how to assign...
I guess you have another matrix:
cv::Mat outputMatrix = cv::Mat(im.rows, im.cols, CV_8UC3, cv::Scalar(0,0,0));
Now to assign multiply to the element in outputMatrix you ca do:
cv::Vec3b element3Channels;
element3Channels[0] = multiply.at<double>(0,0);
element3Channels[1] = multiply.at<double>(1,0);
element3Channels[2] = multiply.at<double>(2,0);
outputMatrix.at<Vec3b>(i, j) = element3Channels;
If you need alpha channel too, you can adapt that easily.