How can I create a video from a 3D matrix that is not in rgb format?

I have a matrix of the form : M = 10*rand(4,4,10);

where each a_ij element represents the position of a physical thing, and its value represent its intensity. The third coordinate is time. I want to see how each element behaves in time, so I want to take each 4x4 slice and convert it to a video frame, and all of them should share the same limits for the colormap/colorbar. I say this because the actual data I have does not share the same min and max values at each 4x4 slice, and I want to keep these fixed to the min and max of the whole 3D matrix. I've tried many things such as converting each slice to rgb image, but I don't know how to set the color scale to be the same for all slices instead of having one different for each slice.

I would greatly appreciate it if someone could point me in the right direction as to how to do this.

Also, given the great amount of data I would like to convert them to video frames without having to save each image to my computer.

Answer 1

[Melika Bahmanabasdi]

%****************** Convert Tensor to video ****************************

VidObj = VideoWriter('movie.avi','Grayscale AVI'); %set your file name and video compression

VidObj.FrameRate = 1; %set your frame rate

open(VidObj);

for f = 1:size(T, 3)

writeVideo(VidObj,mat2gray(T(:,:,f)));

end

close(VidObj);

%******************************** End *********************************