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hal-01796066
v1
Journal articles
Ranjan Jha
,
Damien Chablat
,
Luc Baron
,
Fabrice Rouillier
,
Guillaume Moroz
.
Workspace, Joint space and Singularities of a family of Delta-Like Robot
Mechanism and Machine Theory
, Elsevier, 2018, 127, pp.73-95.
⟨10.1016/j.mechmachtheory.2018.05.004⟩
inria-00097581
v1
Journal articles
Frédéric Cazals
,
Jean-Charles Faugère
,
Marc Pouget
,
Fabrice Rouillier
.
The implicit structure of ridges of a smooth parametric surface
Computer Aided Geometric Design
, Elsevier, 2006, 23 (7), pp.582-598.
⟨10.1016/j.cagd.2006.04.002⟩
hal-00429510
v1
Journal articles
Pierre-Vincent Koseleff
,
Daniel Pecker
,
Fabrice Rouillier
.
The first rational Chebyshev knots
Journal of Symbolic Computation
, Elsevier, 2010, 45 (12), pp.1341-1358.
⟨10.1016/j.jsc.2010.06.014⟩
inria-00098872
v1
Journal articles
Fabrice Rouillier
.
Solving Zero-Dimensional Systems through the Rational Univariate Representation
Applicable Algebra in Engineering, Communication and Computing
, Springer Verlag, 1999, 9 (5), pp.433-461.
⟨10.1007/s002000050114⟩
hal-01342211
v2
Journal articles
Yacine Bouzidi
,
Sylvain Lazard
,
Guillaume Moroz
,
Marc Pouget
,
Fabrice Rouillier
et al.
Solving bivariate systems using Rational Univariate Representations
Journal of Complexity
, Elsevier, 2016, 37, pp.34--75.
⟨10.1016/j.jco.2016.07.002⟩
hal-00977671
v1
Journal articles
Yacine Bouzidi
,
Sylvain Lazard
,
Marc Pouget
,
Fabrice Rouillier
.
Separating linear forms and Rational Univariate Representations of bivariate systems
Journal of Symbolic Computation
, Elsevier, 2015, 68, pp.84-119.
⟨10.1016/j.jsc.2014.08.009⟩
hal-00908843
v1
Journal articles
Elisha Falbel
,
Pierre-Vincent Koseleff
,
Fabrice Rouillier
.
Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity
Geometriae Dedicata
, Springer Verlag, 2015, 177 (1), pp.52.
⟨10.1007/s10711-014-9987-x⟩
inria-00100982
v1
Journal articles
Philippe Aubry
,
Fabrice Rouillier
,
Mohab Safey El Din
.
Real solving for positive dimensional systems
Journal of Symbolic Computation
, Elsevier, 2002, 34 (6), pp.543-560.
⟨10.1006/jsco.2002.0563⟩
hal-02953909
v1
Journal articles
Christina Katsamaki
,
Fabrice Rouillier
,
Elias Tsigaridas
,
Zafeirakis Zafeirakopoulos
.
PTOPO: A Maple package for the topology of parametric curves
ACM Communications in Computer Algebra
, Association for Computing Machinery (ACM), 2020, 54 (2), pp.49-52.
⟨10.1145/3427218.3427223⟩
inria-00517175
v1
Journal articles
Jinsan Cheng
,
Sylvain Lazard
,
Luis Peñaranda
,
Marc Pouget
,
Fabrice Rouillier
et al.
On the topology of real algebraic plane curves
Mathematics in Computer Science
, Springer, 2010, 4 (1), pp.113-137.
⟨10.1007/s11786-010-0044-3⟩
hal-00545502
v1
Journal articles
Guillaume Moroz
,
Fabrice Rouillier
,
Damien Chablat
,
Philippe Wenger
.
On the determination of cusp points of 3-R\underline{P}R parallel manipulators
Mechanism and Machine Theory
, Elsevier, 2010, 45 (11), pp.1555-1567.
⟨10.1016/j.mechmachtheory.2010.06.016⟩
inria-00544998
v1
Journal articles
Nathalie Revol
,
Fabrice Rouillier
.
Motivations for an arbitrary precision interval arithmetic and the MPFI library
Reliable Computing
, Springer Verlag, 2005, 11 (4), pp.275-290.
⟨10.1007/s11155-005-6891-y⟩
hal-00803837
v1
Journal articles
Nicolas Bergeron
,
Antonin Guilloux
,
Elisha Falbel
,
Pierre-Vincent Koseleff
,
Fabrice Rouillier
.
Local rigidity for SL (3,C) representations of 3-manifolds groups
Experimental Mathematics
, Taylor & Francis, 2013, 22 (4), pp.10.
⟨10.1080/10586458.2013.832441⟩
inria-00099275
v1
Journal articles
Fabrice Rouillier
,
Marie-Françoise Roy
,
Mohab Safey El Din
.
Finding at least one point in each connected component of a real algebraic set defined by a single equation
Journal of Complexity
, Elsevier, 2000, 16 (4), pp.716-750.
⟨10.1006/jcom.2000.0563⟩
hal-00663777
v1
Journal articles
Richard Cameron
,
Jean-Charles Faugère
,
Fabrice Rouillier
,
Fabien Seyfert
.
Exhaustive approach to the coupling matrix synthesis problem and application to the design of high degree asymmetric filters
International Journal of RF and Microwave Computer-Aided Engineering
, Wiley, 2007, 17 (1), pp.4--12.
⟨10.1002/mmce.20190⟩
inria-00099941
v1
Journal articles
Fabrice Rouillier
,
Paul Zimmermann
.
Efficient isolation of polynomial's real roots
Journal of Computational and Applied Mathematics
, Elsevier, 2004, 162 (1), pp.33-50.
⟨10.1016/j.cam.2003.08.015⟩
inria-00098579
v1
Journal articles
Jean-Charles Faugère
,
Francois Moreau de Saint Martin
,
Fabrice Rouillier
.
Design of regular nonseparable bidimensional wavelets using Grobner basis techniques
IEEE Transactions on Signal Processing
, Institute of Electrical and Electronics Engineers, 1998, 46 (4), pp.845-856.
⟨10.1109/78.668541⟩
hal-00690975
v1
Journal articles
Montserrat Manubens
,
Guillaume Moroz
,
Damien Chablat
,
Philippe Wenger
,
Fabrice Rouillier
.
Cusp Points in the Parameter Space of Degenerate 3-RPR Planar Parallel Manipulators
Journal of Mechanisms and Robotics
, American Society of Mechanical Engineers, 2012, pp.1-10
hal-01232181
v2
Journal articles
Pierre-Vincent Koseleff
,
Daniel Pecker
,
Fabrice Rouillier
,
Cuong Tran
.
Computing Chebyshev knot diagrams
Journal of Symbolic Computation
, Elsevier, 2018, 86, pp.21.
⟨10.1016/j.jsc.2017.04.001⟩
hal-01362208
v1
Journal articles
Elisha Falbel
,
Antonin Guilloux
,
Pierre-Vincent Koseleff
,
Fabrice Rouillier
,
Morwen Thistlethwaite
.
Character Varieties For SL(3,C): The Figure Eight Knot
Experimental Mathematics
, Taylor & Francis, 2016, 25 (2), pp.17.
⟨10.1080/10586458.2015.1068249⟩
hal-01951765
v1
Journal articles
Yacine Bouzidi
,
Alban Quadrat
,
Fabrice Rouillier
.
Certified Non-conservative Tests for the Structural Stability of Discrete Multidimensional Systems
Multidimensional Systems and Signal Processing
, Springer Verlag, 2019, 30 (3), pp.31.
⟨10.1007/s11045-018-0596-y⟩
hal-01468796
v1
Journal articles
Sylvain Lazard
,
Marc Pouget
,
Fabrice Rouillier
.
Bivariate triangular decompositions in the presence of asymptotes
Journal of Symbolic Computation
, Elsevier, 2017, 82, pp.123 - 133.
⟨10.1016/j.jsc.2017.01.004⟩
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