How can I determine color value at any point after texture mapping?

I have texture mapped an image to the surface of a sphere using the example at http://www.mathworks.com/help/matlab/visualize/coloring-mesh-and-surface-plots.html#f0-9250.

I have a separate list of points on the sphere, which are in no particular format (i.e. not in meshgrid or ndgrid format). I need to know the color value at each point in this separate list. Does anyone know how to access the texture colors at any location?

[Geoff Hayes]

Nathan - can you provide a subset of your list of points on the sphere?