An improved projection operation for cylindrical algebraic decomposition of three-dimensional space
Journal of Symbolic Computation
An improvement of the projection operator in cylindrical algebraic decomposition
ISSAC '90 Proceedings of the international symposium on Symbolic and algebraic computation
Partial Cylindrical Algebraic Decomposition for quantifier elimination
Journal of Symbolic Computation
ISSAC '92 Papers from the international symposium on Symbolic and algebraic computation
On projection in CAD-based quantifier elimination with equational constraint
ISSAC '99 Proceedings of the 1999 international symposium on Symbolic and algebraic computation
Hauptvortrag: Quantifier elimination for real closed fields by cylindrical algebraic decomposition
Proceedings of the 2nd GI Conference on Automata Theory and Formal Languages
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
Theoretical Computer Science
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This paper presents an improved projection operator for the construction of CAD's of R3. It is shown that, typically, it suffices to include in projection only leading coefficients (along with discriminants and resultants) rather than all coefficients. Cases in which the leading coefficient alone does not suffice can be dealt with, in a sense, even more efficiently. Generalizing the improved projection operator to dimension greater than three is a topic of ongoing research.