## On Removing Non-degeneracy Assumptions in Computational Geometry (Extended Abstract) (1997)

Citations: | 9 - 7 self |

### BibTeX

@MISC{Gómez97onremoving,

author = {Francisco Gómez and Suneeta Ramaswami and Godfried Toussaint},

title = {On Removing Non-degeneracy Assumptions in Computational Geometry (Extended Abstract)},

year = {1997}

}

### Years of Citing Articles

### OpenURL

### Abstract

) Francisco G'omez 1 , Suneeta Ramaswami 2 and Godfried Toussaint 2 1 Dept. of Applied Mathematics, Universidad Politecnica de Madrid, Madrid, Spain 2 School of Computer Science, McGill University, Montr'eal, Qu'ebec, Canada Abstract Existing methods for removing degeneracies in computational geometry can be classified as either approximation or perturbation methods. These methods give the implementer two rather unsatisfactory choices: find an approximate solution to the original problem given, or find an exact solution to an approximation of the original problem. We address an alternative approach that has received little attention in the computational geometry literature. Often a typical computational geometry paper will make a non-degeneracy assumption that can in fact be removed (without perturbing the input) by a global rigid transformation of the input. In these situations, by applying suitable pre- and post- processing steps to an algorithm, we obtain the exact soluti...