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Research Interests

Computational geometry and the design, analysis and implementation of algorithms for geometric problems that arise in varied applications such as mesh generation, robotics, computer graphics, and medical imaging. My current work is on geometric techniques for mesh generation with quadrilateral mesh elements of bounded aspect ratios, for three-dimensional surfaces, and adaptive meshing techniques. (The image on the right shows a quadrilateral surface mesh resulting from our work on mesh generation for three-dimensional surfaces, as does the background image on my home page.)