By Bernard Moret, Henry D. Shapiro
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Additional info for Algorithms from P to NP, Vol. I: Design and Efficiency
Note the almost perfect phase coherence of the LGP solution and the actual output of the laser both before and after the phase change. The phase accuracy of the LGP models is what resulted in such a high R2 for the LGP models, compared to the others. Simulating a Simulator. In the Kodak simulator problem, the task was to use LGP to simulate an existing software simulator. Past runs of the existing simulator provided many matched pairs of inputs (five production-related variables) and the output from .
The number of possible valid triangulations increases drastically with the number of points in P . The task of optimal triangulation is to nd a representation that renders the true surface structure as realistic as possible. This problem is algorithmically very complex [5, 8]. In practical surface reconstruction the number of digitizing points can reach several million samples. In CAD/CAM systems the respective triangulations become very large and diﬃcult to handle. , plane areas) and can be eliminated from the original point set.
And, thus, this setting is kept for all experiments. 04 for n = 8 8). 6 Results The experiments have been designed to illustrate the behavior of the algorithm regarding the in uence of the structure and density of the sampling points, the exactness of the reconstruction, and time and space complexity of the algorithm. Hemisphere A hemisphere was sampled with |P | = 50 50 points. 2 shows the reconstruction of the arti cial object using a set S of 8 8 vertices. 2. Reconstruction of a hemisphere. The initial triangulation started with an equidistant point set.
Algorithms from P to NP, Vol. I: Design and Efficiency by Bernard Moret, Henry D. Shapiro