Template based mesh fitting through a set of curves.

• Other Authors: Choi, Yuet Kei.
• Format: Others
• Language: English; Chinese
• Published: 2007
• Subjects: Computer graphics; Curve fitting
• Online Access: http://library.cuhk.edu.hk/record=b5893092; http://repository.lib.cuhk.edu.hk/en/item/cuhk-325869

Choi, Yuet Kei. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. === Includes bibliographical references (leaves 68-72). === Abstracts in English and Chinese. === Acknowledgement --- p.i === Abstract --- p.ii === Contents --- p.vi === List of Figures --- p.viii === Chapter 1. --- Introduction --- p.1 === Chapter 1.1 --- Previous Works --- p.3 === Chapter 1.1.1 --- Template deformation --- p.3 === Chapter 1.1.2 --- Mesh partitioning --- p.3 === Chapter 1.1.3 --- Mesh Smoothing --- p.4 === Chapter 1.2 --- Overview of the approach --- p.5 === Chapter 1.3 --- Thesis outline --- p.7 === Chapter 2. --- Global Deformation --- p.8 === Chapter 2.1 --- The closet point method --- p.10 === Chapter 2.1.1 --- Computational complexity --- p.11 === Chapter 2.2 --- Deformation Techniques --- p.12 === Chapter 2.2.1 --- Existing deformation method --- p.12 === Chapter 2.2.2 --- Radial Basis Functions (RBFs) --- p.14 === Chapter 2.2.2.1 --- Computational complexity --- p.18 === Chapter 2.2.3 --- Result --- p.18 === Chapter 2.3 --- Face flip prevention --- p.20 === Chapter 2.3.1 --- Detection of the flipped face --- p.22 === Chapter 2.3.1.1 --- Common approach: --- p.22 === Chapter 2.3.1.2 --- Our Approach --- p.23 === Chapter 2.3.1.3 --- Comparisons of the face flip detection method: --- p.26 === Chapter 2.3.2 --- Local Subdivision --- p.27 === Chapter 3. --- Partitioning of the mesh --- p.29 === Chapter 3.1 --- Existing method --- p.29 === Chapter 3.2 --- Our approach --- p.31 === Chapter 3.3 --- Computational complexity --- p.34 === Chapter 4. --- Mesh smoothing algorithm --- p.35 === Chapter 4.1 --- The Laplacian flow method --- p.36 === Chapter 4.2 --- The mean-curvature method --- p.40 === Chapter 4.3 --- Our Approach --- p.43 === Chapter 4.3.1 --- The modified mean-curvature method --- p.43 === Chapter 4.3.2 --- The modified Laplacian flow method --- p.45 === Chapter 4.3.3 --- Feature constraints --- p.47 === Chapter 4.3.4 --- Computational complexity --- p.47 === Chapter 4.4 --- Comparison of the mesh smoothing approach --- p.48 === Chapter 5. --- Implementation and Results --- p.51 === Chapter 5.1 --- Construction of the template mesh and boundary curves --- p.51 === Chapter 5.2 --- Selection of the corresponding vertex pairs --- p.52 === Chapter 5.3 --- Results --- p.54 === Chapter 6. --- Conclusions --- p.63 === Chapter 6.1 --- Future development --- p.65 === Appendix A --- p.66 === Determination of the projected path on a mesh: --- p.66 === Reference --- p.68