The Hong Kong University of Science and Technology Department of Computer Science and Engineering PhD Thesis Defence "Differential Techniques for Scalable and Interactive Mesh Editing" By Mr. Kin-Chung Au Abstract Meshes is the most common representation for 3D surface models nowadays and there is a great demand for processing mesh models. Editing existing meshes is challenging because the editing is limited by the original mesh structure, namely, the irregularities of the vertex distribution and the connectivity. A desirable editing framework should satisfy the users' editing intentions while maintaining the original shape features as much as possible. Therefore the description of the shape features is crucial and has a direct relation on the quality of the editing system. In this thesis we propose a new non-linear differential editing framework, based on the curvature flow Laplacian coordinates, for efficient editing of irregular meshes. This framework overcomes the main limitation of earlier linearized methods, specifically, it solves the common transformation problem of differential editing and avoids undesirable distortion under large-scale rotations and translations of the handles. In addition, our framework supports a new type of handles, point-handle, which enables automatic orientation estimation, thus further simplifying the user interface. To further improve the stability of our editing framework for editing meshes with poor sampling rates and triangle quality, we then propose to edit the meshes in the dual domain, using the dual Laplacian coordinates. Meshes created by modern scanning technology are typically huge. Editing such meshes using a nonlinear editing framework gives unacceptable slow performance. To solve this problem, we introduce the notion of handle-aware rigidity based on the observation that for each vertex the influence of deformations received from different handles is largely dependent on the locations of the handles on the mesh, and independent of the handles' movement during deformation. We present a general reduced model based on handle-aware isolines, enabling interactive editing of huge models with physically plausible deformation results. Date: Tuesday, 28 August 2007 Time: 3:00p.m.-5:00p.m. Venue: Room 3301A Lifts 17-18 Chairman: Prof. Zhenyang Lin (CHEM) Committee Members: Prof. Chiew-Lan Tai (Supervisor) Prof. Long Quan Prof. Pedro Sander Prof. Kai Tang (MECH) Prof. Pheng-Ann Heng (CSE, CUHK) **** ALL are Welcome ****