Papers
11
Total Citations
422
H-Index
8
About
Bernard Mourrain is a leading figure in computational algebraic geometry, whose work bridges the gap between symbolic and numeric computation to solve complex geometric problems. His primary research areas include polynomial system solving, geometric modeling, and the application of algebraic methods to robotics and molecular biology. Mourrain’s major contributions include the development of subdivision methods for solving polynomial equations—a foundational technique cited over 158 times—and the use of computer algebra to study molecular conformations, a highly influential work with 84 citations. He is also renowned for his groundbreaking enumeration of the 40 generic positions of a parallel robot (66 citations), a classic result in robotics kinematics. His work on computing isolated roots via matrix methods (40 citations) and on intersection formulas for geometry, robotics, and vision (23 citations) has provided powerful tools for researchers. More recently, his complete classification of arrangements formed by two ellipsoids (12 citations) demonstrates the ongoing relevance of his research. Through a career dedicated to symbolic-numeric methods, Mourrain has profoundly impacted fields ranging from CAD/CAM to motion planning, establishing himself as a key architect of modern computational geometry.
Research Focus
Key Achievements
Top Papers
- 1Subdivision methods for solving polynomial equations158 citations · 2008
- 2Computer Algebra Methods for Studying and Computing Molecular Conformations84 citations · 1999
- 3The 40 “generic” positions of a parallel robot66 citations · 1993
- 4Computing the Isolated Roots by Matrix Methods40 citations · 1998
- 5Enumeration problems in geometry, robotics and vision23 citations · 1996
- 6Computational Symbolic Geometry19 citations · 1995
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- 8
- 9A framework for Symbolic and Numeric Computations5 citations · 2000
- 10Applications of Clifford Algebras in Robotics4 citations · 1995