Problem with plotting individual CData on triangular mesh

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I am having an issue with plotting a triangular surface with individual CData face colors. My CData contains NaN, as well as integer values (non scaled).

Here is the code I am using:

figure;
f1 = patch('Faces',faces,'Vertices',vertices);
set(f1,'FaceColor','flat','FaceVertexCData',CData,'CDataMapping','scaled');

When the figure window opens, I see an uncolored wire mesh of my object.

Interestingly, if I add the following lines:

hold on;
plot3(vertices(:,1), vertices(:,2), vertices(:,3), 'k.')

All of a sudden my colored faces show up, but I don't want the plotted vertices! If I turn them off manually using the property editor, my face colors disappear.

Does anyone know what's going on here? What am I missing?

Thanks, Erin