Papers
7
Total Citations
97
H-Index
5
About
Shankar Krishnan is a leading researcher in computational geometry, robotics, and algebraic computation, whose work bridges theoretical algorithms with practical applications in medical robotics. His most influential contributions center on solving algebraic systems and motion planning—fundamental problems in scientific computing and automation. Krishnan’s 1996 paper on solving algebraic sets using matrix computations (22 citations) provides efficient algorithms for manipulating polynomial equations, enabling advances in symbolic-numeric computation. He is perhaps best known for his pioneering work on complete motion planning for polyhedral robots, where he developed simple yet powerful sampling-based algorithms that partition free space into star-shaped regions to guarantee connectivity without explicit geometric representation. These papers (21–22 citations each) have become foundational references in robotics. Krishnan also made notable contributions to topology-preserving approximations of configuration space, crucial for robots with low degrees of freedom. His recent work extends these ideas to medical robotics, including a 2024 case study on analyzing product failures in robot-assisted surgery. With over 97 total citations across his most-cited works, Krishnan’s research continues to shape both theoretical computer science and real-world robotic systems.
Research Focus
Key Achievements
Top Papers
- 1Solving algebraic systems using matrix computations22 citations · 1996
- 2Topology preserving approximation of free configuration space22 citations · 2006
- 3
- 4Micromachines in endoscopy16 citations · 1999
- 5
- 6
- 7