Title
Expressing the box cone radius in the relational calculus with real polynomial constraints Expressing the box cone radius in the relational calculus with real polynomial constraints
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Computer. Automation
Source (journal)
Discrete and computational geometry. - New York, N.Y.
Volume/pages
30(2003) :4 , p. 607-622
ISSN
0179-5376
ISI
000186370900006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
We show that there is a query expressible in first-order logic over the reals that returns, on any given semi-algebraic set A, for every point, a radius around which A is conical in every small enough box. We obtain this result by combining results from differential topology and real algebraic geometry, with recent algorithmic results by Rannou.
E-info
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