Currently, my research is focused on developing geometric and statistical methods for understanding shape variations in human and other biological forms. I lead the Digital Human Modeling Project at the National Research Council of Canada. We apply statistical shape analysis to 3-D anthropometric data and develop tools to visualize human shape variations. This research has applications in ergonomic design, medical and biological research, security, and game and animation.

I am interested in developing geometric algorithms for processing data obtained from digitizing real-world objects. This includes mesh generation, rigid and non-rigid registration, surface parameterization, deformation, and completion. I am also interested in reconstructing 3-D models from images. In the past, I worked on piecewise linear approximation of continuous surface (tessellation), robot motion planning, and finite element analysis for simulating engineering processes. I am especially interested in the mathematical and algorithmic problems arisen from these practical problems. I draw tools from computational geometry, differential geometry, numerical analysis, probability and statistics, and algorithm design and analysis.