Chun-Ming Yuan
Papers
1
Total Citations
19
H-Index
1
About
Chun-Ming Yuan is a mathematician whose work bridges the elegant abstractions of algebraic geometry with the practical demands of computational design. His primary research focuses on geometric computation, particularly the intersection and collision detection of ruled surfaces—a fundamental challenge in computer-aided design, robotics, and geometric modeling. Yuan’s major contribution lies in his innovative application of the bracket method, a technique rooted in classical invariant theory, to solve these complex geometric problems with both mathematical rigor and algorithmic efficiency. His most-cited paper, "Collision and intersection detection of two ruled surfaces using bracket method" (2010), has garnered 19 citations, establishing a foundational approach that simplifies the detection of intersections between surfaces commonly used in engineering. This work is notable for its ability to reduce a computationally intensive problem to a more manageable algebraic form, offering a clear, deterministic solution. Yuan’s research is particularly valuable for students and engineers seeking robust, theory-driven tools for geometric modeling, demonstrating how deep mathematical insight can directly enhance practical design and simulation workflows.
Research Focus
Key Achievements
Top Papers
- 1