Research Areas
Exploring the frontiers of computational geometry
B-Spline Theory
Fundamental research on B-spline basis functions, knot vectors, and the De Boor algorithm. We explore local support properties, smoothness conditions, and efficient evaluation methods.
NURBS Modeling
Non-Uniform Rational B-splines provide flexibility in representing conic sections and free-form curves. Our research covers weight optimization, curve/surface construction, and industrial applications.
Subdivision Surfaces
Study of subdivision algorithms including Catmull-Clark and Doo-Sabin methods. We investigate convergence properties, smoothness analysis, and practical implementation techniques.
Isogeometric Analysis
Bridging CAD and CAE through NURBS-based finite element methods. Our work enables seamless integration of geometric design and numerical simulation.
Curve & Surface Fitting
Developing algorithms for approximating scattered data with smooth spline curves and surfaces. We focus on least-squares methods and parameter optimization.
Spline Applications
Applying spline theory to real-world problems in CNC machining, 3D printing, automotive design, computer graphics, and animation.