by Leung Hoi-Chau. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 70-71). / Abstracts in English and Chinese. / Chapter Chapter 1. --- Introduction --- p.1 / Chapter Chapter 2. --- Previous Works --- p.2 / Chapter 2.1. --- Facial animations and facial surgery simulations / Chapter 2.2. --- Facial Action Coding System (FACS) / Chapter 2.3. --- The Boundary Element Method (BEM) in Computer Graphics / Chapter Chapter 3. --- The Facial Expression System --- p.7 / Chapter 3.1. --- Input to the system / Chapter 3.1.1. --- Orientation requirements for the input mesh / Chapter 3.1.2. --- Topology requirements for the input mesh / Chapter 3.1.3. --- Type of the polygons of the facial mesh / Chapter 3.2. --- Facial Modeling and Feature Recognition / Chapter 3.3. --- User Control / Chapter 3.4. --- Output of the system / Chapter Chapter 4. --- Boundary Element Method (BEM) --- p.12 / Chapter 4.1. --- Numerical integration of the kernels / Chapter 4.1.1. --- P and Q are different / Chapter 4.1.2. --- P and Q are identical / Chapter 4.1.2.1. --- Evaluation of the Singular Traction Kernel / Chapter 4.1.2.2. --- Evaluation of the Singular Displacement Kernel / Chapter 4.2. --- Assemble the stiffness matrix / Chapter Chapter 5. --- Facial Modeling --- p.18 / Chapter 5.1. --- Offset of facial mesh / Chapter 5.2. --- Thickening of Face Contour / Chapter Chapter 6. --- Facial Feature Recognition --- p.22 / Chapter 6.1. --- Extract all contour edges from the facial mesh / Chapter 6.2. --- Separate different holes from the contour edges / Chapter 6.3. --- Locating the bounding boxes of different holes / Chapter 6.4. --- Determine the facial features / Chapter 6.4.1. --- Eye positions / Chapter 6.4.2. --- Mouth position and Face / Chapter 6.4.3. --- Nose position / Chapter 6.4.4. --- Skull position / Chapter Chapter 7. --- Boundary Conditions in the system --- p.28 / Chapter 7.1. --- Facial Muscles / Chapter 7.2. --- Skull Bone / Chapter 7.3. --- Facial Muscle recognition / Chapter 7.3.1. --- Locating muscle-definers / Chapter 7.3.2. --- Locating muscles / Chapter 7.4. --- Skull Bone Recognition / Chapter 7.5. --- Refine the bounding regions of the facial features / Chapter 7.6. --- Add/Remove facial muscles / Chapter Chapter 8. --- Muscles Movement --- p.40 / Chapter 8.1. --- Muscle contraction / Chapter 8.2. --- Muscle relaxation / Chapter 8.3. --- The Muscle sliders / Chapter Chapter 9. --- Pre-computation --- p.44 / Chapter 9.1. --- Changing the Boundary Values / Chapter Chapter 10 --- . Implementation --- p.46 / Chapter 10.1. --- Data Structure for the facial mesh / Chapter 10.2. --- Implementation of the BEM engine / Chapter 10.3. --- Facial modeling and the facial recognition / Chapter Chapter 11 --- . Results --- p.48 / Chapter 11.1. --- Example 1 (low polygon man face) / Chapter 11.2. --- Example 2 (girl face) / Chapter 11.3. --- Example 3 (man face) / Chapter 11.4. --- System evaluation / Chapter Chapter 12 --- . Conclusions --- p.67 / References --- p.70