Qiu Xu-hao
Papers
1
Total Citations
2
H-Index
1
About
Qiu Xu-hao is a mathematician and computer scientist whose work bridges geometry and computational applications. His research centers on computational geometry, geometric modeling, and their intersections with computer graphics, machine vision, and robotics. Xu-hao’s most significant contribution is his explicit criterion for determining the positional relationship between two planar ellipses, a fundamental problem in fields ranging from virtual reality to CAD/CAM. In his 2006 paper, which has garnered 2 citations, he derived a solution based on the generalized characteristic polynomial and affine invariants of two ellipses. This work provides a clear, algebraic framework for detecting whether ellipses intersect, are separate, or are contained within one another—a challenge with broad implications for collision detection, object recognition, and animation. While his citation count is modest, the precision and elegance of his geometric insight have made his criterion a reference point for researchers tackling ellipse-related problems in computational settings. Xu-hao’s contributions exemplify how foundational geometric theory can directly enable practical advances in technology and simulation.
Research Focus
Key Achievements
Top Papers
- 1