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Finally, if the triangles exceed a given size, they can be subdivided into four sub-triangles by splitting the three sides into two parts, each. For each of these sub-triangles, a separate approximative plane is calculated in the above manner. We determine the midpoint of the side and use the same look-up method as used for radiance values to find the corresponding depth. After that, we reconstruct the 3D point and project it into the virtual camera resulting in a point near the side of the triangle. Of course, further subdivision can be done in the same manner to improve accuracy. Especially, if just few triangles contribute to a single virtual view, this subdivision is really necessary. It should be done in a resolution according to performance demands and to the complexity of geometry.
Marc Pollefeys
2000-07-12