Fabrice Rouillier

About

Fabrice Rouillier is a distinguished researcher whose work bridges symbolic computation, algorithmic algebra, and robotics, with particular expertise in polynomial system solving and interval arithmetic. His foundational contributions to efficient algorithms for studying real zeros of polynomial systems, dating back to his 1996 doctoral work, established rigorous algebraic frameworks that continue to influence computational mathematics. His 2005 paper introducing the MPFI library for arbitrary precision interval arithmetic has become a landmark reference in reliable numerical computation, accumulating over 129 citations and underpinning countless applications requiring certified results. A significant thread of Rouillier's research applies these algebraic tools to the analysis of parallel robotic manipulators, where he has made notable advances in workspace characterization, singularity detection, and direct kinematics solving. His work on Delta-like robots and the 3-RPS parallel robot demonstrates his commitment to bridging abstract mathematics and real-world engineering challenges, providing certified, assumption-free solutions to notoriously difficult kinematic problems. His 2020 contribution showcasing Maple-based analysis further reflects his dedication to accessible, practical computation. Collectively, his publications reveal a researcher whose mathematically rigorous methods have measurably advanced both computer algebra and robotics, making his work essential reading for students in symbolic computation and robot kinematics alike.

Research Focus

Key Achievements

Top Papers

1. 1
   Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library

   129 citations · 2005
2. 2
   Workspace, joint space and singularities of a family of delta-like robot

   39 citations · 2018
3. 3
   Workspace and Joint Space Analysis of the 3-RPS Parallel Robot

   22 citations · 2014
4. 4
   Algorithmes efficaces pour l'etude des zeros reels des systemes polynomiaux

   18 citations · 1996
5. 5
   Real Root Counting for Some Robotics Problems

   17 citations · 1995
6. 6
   On solving the direct kinematics problem for parallel robots

   15 citations · 2006
7. 7
   Workspace and Singularity Analysis of a Delta like Family Robot

   12 citations · 2015
8. 8
   Non-singular Assembly Mode Changing Trajectories in the Workspace for the 3-RPS Parallel Robot

   11 citations · 2014
9. 9
   Using Maple to Analyse Parallel Robots

   7 citations · 2020
10. 10
    An Algebraic Method to Check the Singularity-Free Paths for Parallel Robots

    4 citations · 2015

Key Collaborators

Contact & Links