Yan Yan

Papers

Total Citations

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About

Yan Yan is a researcher whose work sits at the intersection of computational geometry and applied mathematics, with a particular focus on geometric shape analysis and spatial reasoning. His most recognized contribution, the 2014 paper "Closed-form Characterization of the Minkowski Sum and Difference of Two Ellipsoids," has garnered 39 citations and represents a significant advancement in the mathematical treatment of ellipsoidal geometry. This work provides elegant analytical solutions for computing Minkowski operations between ellipsoids — a problem with wide-ranging applications in robotics, collision detection, motion planning, and computer graphics, where determining spatial relationships between geometric objects is fundamental. By deriving closed-form expressions, Yan's research offers computational efficiency and mathematical clarity that numerical approaches often cannot match, making his results particularly valuable for real-time and high-performance applications. His contribution has been embraced by researchers across engineering, robotics, and theoretical computer science communities, reflecting the interdisciplinary reach of his work. For students and researchers working in geometric computing or robot motion planning, Yan's formulations offer a foundational analytical tool that continues to inform both theoretical investigations and practical system design.