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Original Articles

Determination of the distribution of the number of specular points of a random cylindrical homogeneous Gaussian surface

Pages 447-460 | Received 19 Oct 2006, Accepted 16 Jan 2007, Published online: 12 Jun 2008

Figures & data

Figure 1. The geometry of problem.

Figure 1. The geometry of problem.

Figure 2. The real β1(u), imaginary β2(u) parts and module |β(u)| of characteristics function β(u).

Figure 2. The real β1(u), imaginary β2(u) parts and module |β(u)| of characteristics function β(u).

Figure 3. The special function G(Z, N) for different values of N.

Figure 3. The special function G(Z, N) for different values of N.

Figure 4. The distribution of radii of curvature Wx(X) (solid curve) and its histogram (dashed curve).

Figure 4. The distribution of radii of curvature Wx(X) (solid curve) and its histogram (dashed curve).

Figure 5. The distribution of reflected radiance Wr(r); solid curve–theoretical, dashed curve–histogram.

Figure 5. The distribution of reflected radiance Wr(r); solid curve–theoretical, dashed curve–histogram.

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