Is it possible to seamlessly apply a single shader accross two surfaces, so it appears as if the surfaces form a single surface?

For example, suppose I have a long NURBS tube, and then I detach the surface at an isoparm in the center of the tube, splitting the tube into two segments. Now, a separate texture map will be generated for each segment, so there will be an obvious appearence of discontinuity between the tubes.

Is there a way to map the texture accross both surfaces, so there is no discontinuity in texturing?