We investigate this direct approach in Section 4. Finally, in Section 6 we propose a Chernoff bound to, which is useful when the CLT assumption is not accurate or when the exact computation presents computational difficulties.
The smooth corner shapes constructed through these schemes can exploit the computational advantages of PH curves, including exact computation of arc length, rational offset curves, and real-time interpolator algorithms for motion control in manufacturing, robotics, inspection, and similar applications.
Computational results show that the procedure is significantly faster than the exact computation and provides an extremely accurate approximation.
L. Paul Chew, Exact Computation of Protein Structure Similarity, Proceedings of the 22nd ACM Symposium on Computational Geometry (2006), ACM Press, 468-474.
We also extend the general computational framework to allow derivation of bounds and approximations, for when exact computation is not feasible.
Since exact computation of the medial axis is difficult in general, efforts continue to approximate them.
However, its exact computation for arbitrary 3D models is not feasible.
It is known that exact computation of conditional probabilities in belief networks is NP-hard.
We demonstrate a closed-form solution for the fluid potential flow, which affords the exact computation of the hydrodynamic loading.
The method leads, in the time domain, to an exact computation formulae for the unknown frequency parameter.
In particular, we consider the class of curves with Pythagorean structures, because they provide an exact computation of fundamental geometric quantities.
