A new perturbation technique with symbolic software
نویسندگان
چکیده
منابع مشابه
Qualitative Symbolic Perturbation: a new geometry-based perturbation framework
In the literature, the generic way to address degeneracies in computational geometry is the Symbolic Perturbation paradigm: the input is made dependent of some parameter ε so that for ε positive and close to zero, the input is close to the original input, while at the same time, in non-degenerate position. A geometric predicate can usually be seen as the sign of some function of the input. In t...
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15 صفحه اولQualitative Symbolic Perturbation
In a classical Symbolic Perturbation scheme, degeneracies are handled by substituting some polynomials in ε for the inputs of a predicate. Instead of a single perturbation, we propose to use a sequence of (simpler) perturbations. Moreover, we look at their effects geometrically instead of algebraically; this allows us to tackle cases that were not tractable with the classical algebraic approach...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1995
ISSN: 0895-7177
DOI: 10.1016/0895-7177(95)00072-a