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C.-K. Yap. Symbolic treatment of geometric dependancies. J. Symbolic Computation, 10 (1990), pp. 349--370. 34

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How Good are Convex Hull Algorithms? - Avis, Bremner (1995)   (Correct)

....list all vertices in P corresponding to these bases, removing duplicates. If P is simple then the number of bases is at most O(m bd=2c ) by the upper bound theorem. A perturbation scheme can be either numerical or symbolic, and general framework for describing such schemes is contained in Yap [20]. A common numerical perturbation is obtained by perturbing the right hand side vector of the system of halfspaces defining P . This perturbed vector is used in calculations. A simple way of transforming the perturbed vertices back to vertices of P is simply to carry an extra column which is the ....

C-K Yap. Symbolic treatment of geometric dependancies. J. Symbolic Computation, 10:349-- 370, 1990.


Determining the Castability of Simple Polyhedra - Bose, Bremner, van Kreveld (1994)   (7 citations)  (Correct)

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C.-K. Yap. Symbolic treatment of geometric dependancies. J. Symbolic Computation, 10 (1990), pp. 349--370. 34

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