Research in Computer Graphics
Within the field of Geometric Modeling my research centers on geometric models and computer tools for the expressive representation, synthesis, modeling and fabrication of three-dimensional (3D) objects. The theoretical basis for this are the differential geometric properties of freeform surfaces, which can be used primarily to allow manipulation of virtual 3D objects accessible to the user with user-friendly algorithms.
Contributions over the years include high-level models for 3D shapes and animation, reconstruction of shapes from sketches and sensor data, multiresolution methods, feature detection, shape deformation tools, applications to CAD/CAM, my early surface fairing and interrogation algorithms.