QEPCAD B: a program for computing with semi-algebraic sets using CADs
By Christopher W. Brown. SIGS, 2003
338 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Computer Graphics and Computer-Aided Design
View Paper: https://www.semanticscholar.org/paper/7cecdf2eee3d4ca7191730ea923a24d8d52acc68
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Dejan Jovanovic
- Leonardo de Moura
- Manfred Morari
- Ioannis A. Fotiou
- Philipp Rostalski
- Pablo A. Parrilo
- Ruchira S. Datta
- Martyn Marshall
In Computational Theory and Mathematics
- Dejan Jovanovic
- Leonardo de Moura
- Manfred Morari
- Ioannis A. Fotiou
- Philipp Rostalski
- Pablo A. Parrilo
- Tim King
- Stephen Prajna
In Computer Graphics and Computer-Aided Design
- Dejan Jovanovic
- Leonardo de Moura
- Manfred Morari
- Pablo A. Parrilo
- Ioannis A. Fotiou
- Philipp Rostalski
- Ruchira S. Datta
Citations in the corpus
- Algorithms in real algebraic geometry (2003, background): “Cylindrical algebraic decomposition discussed in Chapter 11 has also been implemented many times, see for example [47, 31, 148].”
- Solving non-linear arithmetic (2012, methodology): “We compare the new solver to the following solvers that have been reported to perform reasonably well on fragments of nonlinear arithmetic: the z3 3.2 [14], cvc3 2.4.1 [2], and MiniSmt 0.3 [51] SMT solvers; the quantifier elimination based solvers Mathematica 8.0 [42,41], QEPCAD 1.65 [ 6 ], Redlog-C”
- Parametric optimization and optimal control using algebraic geometry methods (2006, methodology): “The off-line computations in this example have been carried out with the help of the software tool QEPCAD B (Brown 2003).”
- Funnel libraries for real-time robust feedback motion planning (2016, neutral): “While the worst-case complexity of doing general-purpose quantifier elimination is poor, software packages such as QEPCAD (Brown, 2003) (or dReal (Gao et al., 2013), which is based on a different theoretical framework) can often work well in practice for specialized problems.”