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hal-02573423v2  Conference papers
Christina KatsamakiFabrice RouillierElias TsigaridasZafeirakis Zafeirakopoulos. On the Geometry and the Topology of Parametric Curves
ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata / Virtual, Greece
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inria-00071370v1  Conference papers
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Real Algebraic Numbers: Complexity Analysis and Experimentations
Reliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
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inria-00431559v1  Conference papers
Sylvain LazardLuis PeñarandaElias Tsigaridas. Univariate Algebraic Kernel and Application to Arrangements
8th International Symposium SEA 2009, Jun 2009, Dortmund, Germany. pp.209-220, ⟨10.1007/978-3-642-02011-7⟩
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hal-00103047v1  Conference papers
Frédéric CazalsMarc Pouget. Estimating Differential Quantities Using Polynomial Fitting of Osculating Jets
Eurographics Symposium on Geometry Processing, Jun 2003, Aachen, Germany. pp.177-187
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hal-01825708v3  Conference papers
Rémi ImbachMarc PougetChee Yap. Clustering Complex Zeros of Triangular System of Polynomials
CASC 2019 - 21st International Workshop on Computer Algebra in Scientific Computing, Aug 2019, Moscow, Russia
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hal-03105216v1  Conference papers
Ricardo FabbriTimothy DuffHongyi FanMargaret ReganDavid da Costa de Pinho et al.  TRPLP – Trifocal Relative Pose From Lines at Points
CVPR 2020 - IEEE/CVF Conference on Computer Vision and Pattern Recognition, Jun 2020, Seattle / Virtual, United States. pp.12070-12080, ⟨10.1109/CVPR42600.2020.01209⟩
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hal-00809430v1  Conference papers
Yacine BouzidiSylvain LazardMarc PougetFabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116
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hal-00809425v1  Conference papers
Yacine BouzidiSylvain LazardMarc PougetFabrice Rouillier. Separating Linear Forms for Bivariate Systems
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124
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inria-00344433v1  Conference papers
Ioannis Z. EmirisAthanasios KakargiasSylvain PionMonique TeillaudElias Tsigaridas. Towards an Open Curved Kernel
ACM Symposium on Computational Geometry, Jun 2004, New York, United States. pp.438-446
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inria-00336563v1  Conference papers
Sylvain LazardLuis PeñarandaElias Tsigaridas. A CGAL-based Univariate Algebraic Kernel and Application to Arrangements
24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.91--94
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inria-00387399v2  Conference papers
Angelos MantzaflarisBernard MourrainElias Tsigaridas. Continued Fraction Expansion of Real Roots of Polynomial Systems
SNC, conference on Symbolic-Numeric Computation, Aug 2009, Kyoto, Japan. pp.85-94, ⟨10.1145/1577190.1577207⟩
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hal-02294028v1  Conference papers
George KraitSylvain LazardGuillaume MorozMarc Pouget. Numerical Algorithm for the Topology of Singular Plane Curves
EuroCG 2019 - 35th European Workshop on Computational Geometry, Mar 2019, Utrecht, Netherlands
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hal-02406758v1  Conference papers
Sény DiattaGuillaume MorozMarc Pouget. Reliable Computation of the Singularities of the Projection in R3 of a Generic Surface of R4
MACIS 2019 - Mathematical Aspects of Computer and Information Sciences, Nov 2019, Gebze-Istanbul, Turkey
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inria-00329731v1  Journal articles
Frédéric CazalsMarc Pouget. Jet fitting 3: A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting
ACM Transactions on Mathematical Software, Association for Computing Machinery, 2008, 35 (3)
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hal-02099556v1  Journal articles
Ioannis Z. EmirisAngelos MantzaflarisElias Tsigaridas. Multilinear Polynomial Systems: Root Isolation and Bit Complexity
Journal of Symbolic Computation, Elsevier, 2021, Special Issue on Milestones in Computer Algebra (MICA 2016), 105, pp.145-164. ⟨10.1016/j.jsc.2020.06.005⟩
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hal-01105276v5  Journal articles
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Separation bounds for polynomial systems
Journal of Symbolic Computation, Elsevier, 2020, 101, pp.128-151. ⟨10.1016/j.jsc.2019.07.001⟩
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hal-00103023v1  Journal articles
Frédéric CazalsMarc Pouget. Differential topology and geometry of smooth embedded surfaces: selected topics
International Journal of Computational Geometry and Applications, World Scientific Publishing, 2005, Vol. 15, No. 5, pp.511-536. ⟨10.1142/S0218195905001816⟩
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inria-00097582v1  Journal articles
Frédéric CazalsMarc Pouget. Estimating Differential Quantities using Polynomial fitting of Osculating Jets
Computer Aided Geometric Design, Elsevier, 2005, 22 (2), pp.121-146
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hal-01239447v1  Conference papers
Rémi ImbachGuillaume MorozMarc Pouget. Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve
Proceedings of the 6th International Conferences on Mathematical Aspects of Computer and Information Sciences, Oct 2015, Berlin, Germany
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hal-01920444v1  Journal articles
Rémi ImbachGuillaume MorozMarc Pouget. Reliable Location with Respect to the Projection of a Smooth Space Curve
Reliable Computing, Springer Verlag, 2018, 26, pp.13-55
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inria-00393833v4  Conference papers
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. The DMM bound: multivariate (aggregate) separation bounds
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.243-250, ⟨10.1145/1837934.1837981⟩
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hal-02953909v1  Journal articles
Christina KatsamakiFabrice RouillierElias TsigaridasZafeirakis 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⟩