| Sbert, A.M., "An Integral Geometry Based Method for FormFactor Computation," Computer Graphics Forum, Vol. 13, No. 3, 1993, pp. 409-420. |
....in line parameter space, the pattern of lines in 3 space should also be uniform. In this sense, a uniform sampling pattern is one where the number of lines in intervals between samples is constant everywhere. Note that the correct measure for number of lines is related to the form factor kernel [Sbert93]. The solution we propose is to parameterize lines by their intersections with two planes in arbitrary position (see figure 1) By convention, the coordinate system on the first plane is (u, v) and on the second plane is (s, t) An oriented line is defined by connecting a point on the uv plane to ....
Sbert, A.M., "An Integral Geometry Based Method for FormFactor Computation," Computer Graphics Forum, Vol. 13, No. 3, 1993, pp. 409-420.
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