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How can we find a good compromise between number of triangles and meshing accuracy?

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How can we find a good compromise between number of triangles and meshing accuracy?

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The goal is generally to create a mesh having the best quality as possible. The quality is a compromise between: The accuracy, The level of detail, The smoothness of the surface, The number of triangles. When the deviation error D decreases, the number of points N increases. A deviation error of zero means “keep all points”. If the deviation error is high, the level of detail is low and the surface is roughly defined (See S1 on the figure). If the deviation error is too small or null, the surface contains many spikes (See S2 on the figure). Between the two extreme values, the goal is to find the optimum value of the deviation error, which provides the optimum quality Q.

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