Combine a model and a matrix/picture

[poster]

I have a question about using Matlab. I have loaded a CAD model of a blade into Matlab as a *.stl file. By using alphashape, I got all the points of the surface of the model. Now, I would like to map an image on the suction side of the airfoil (red marked in the section picture). The image, which I want to map is created from a matrix (640x512) by using the imagesc function. Each value of the matrix represents the temperature of the pixel (some kind of temperature plot).
Does anybody now, how I can do that? I thought about using the Texture Mapping function of Matlab, but I did not manage it. Another idea is to refer the value of each pixel to the points of the surface and to colour them afterwards, but I do not know, how to do that in an effective way because there are many points of the surface, which are not important and I did not find a good way to sort the points so that it would be easier. I tried to find some information on the internet, but have not found any good idea, yet (except Texture Mapping).

Picture 1 - Blade

Picture 2 - important part of the surface

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