| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 401462 | Journal of Symbolic Computation | 2008 | 12 Pages |
Abstract
Let X be a set of points whose coordinates are known with limited accuracy; our aim is to give a characterization of the vanishing ideal I(X) independent of the data uncertainty. We present a method to compute, starting from X, a polynomial basis B of I(X) which exhibits structural stability, that is, if is any set of points differing only slightly from X, there exists a polynomial set structurally similar to B, which is a basis of the perturbed ideal .
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