PhD Thesis Proposal Defence "Differential Methods for Intuitive 3D Shape Modeling" by Mr. Hongbo FU Abstract: Modeling 3D digital shapes, such as curves and meshes, manually is challenging for three main reasons. First, realistic shapes are generally complex and involve many unknown degrees of freedom. Second, users usually only have 2D input devices, which are inadequate for manipulating 3D shapes. Third, unlike sculptors, ordinary people usually have no precise depth perception, making the accurate locating of 3D shapes even harder. This proposal presents several novel intuitive techniques that make the modeling process significantly less labor-intensive. We achieve a balance between the control intuitiveness of tools and the geometric complexity of modeling output. Our techniques allow the user to easily control the modeling effect through only a small set of manipulators. The unknown vertex positions of the final models are then computed by solving a large set of linear partial differential equations (i.e., the Laplace or Poisson equations) subject to the constraints derived from the manipulators. These differential-based techniques contribute to three important modeling applications: mesh deformation, mesh merging and hairstyle modeling. The differential mesh deformation technique allows the user to deform existing highly detailed meshes interactively to achieve physically plausible deformation effects. The differential mesh merging framework relieves the user's burden of both precise locating of 3D models and precise specification of merging boundaries over meshes to be merged. We design a sketching interface and adapt an incremental solver to allow users to design compelling hairstyles by drawing only a small set of strokes. For all these algorithms, we pre-compute the most computationally expensive components to achieve interactive modeling with fast response. Extensive experiments demonstrate the robustness and usefulness of our techniques. Date: Monday, 21 May 2007 Time: 4:00p.m.-6:00p.m. Venue: Room 3405 lifts 17-18 Committee Members: Dr. Chiew-Lan Tai (Supervisor) Dr. Huamin Qu (Chairperson) Prof. Long Quan Dr. Pedro Sander **** ALL are Welcome ****