Qin, Guiming. / "August 2010." / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (p. 72-74). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 1.1 --- B splines and B-splines surfaces --- p.5 / Chapter 1. 2 --- Box spline --- p.6 / Chapter 1. 3 --- Biorthogonal subdivision wavelets based on the lifting scheme --- p.7 / Chapter 1.4 --- Geometrically-constrained subdivision wavelets --- p.9 / Chapter 1.5 --- Contributions --- p.9 / Chapter 2 --- Explicit symbol formulae for B-splines --- p.11 / Chapter 2. 1 --- Explicit formula for a general recursion scheme --- p.11 / Chapter 2. 2 --- Explicit formulae for de Boor algorithms of B-spline curves and their derivatives --- p.14 / Chapter 2.2.1 --- Explicit computation of de Boor Algorithm for Computing B-Spline Curves --- p.14 / Chapter 2.2.2 --- Explicit computation of Derivatives of B-Spline Curves --- p.15 / Chapter 2. 3 --- Explicit power-basis matrix fomula for non-uniform B-spline curves --- p.17 / Chapter 3 --- Biorthogonal subdivision wavelets with geometric constraints --- p.23 / Chapter 3. 1 --- Primal subdivision and dual subdivision --- p.23 / Chapter 3. 2 --- Biorthogonal Loop-subdivision-based wavelets with geometric constraints for triangular meshes --- p.24 / Chapter 3.2.1 --- Loop subdivision surfaces and exact evaluation --- p.24 / Chapter 3.2.2 --- Lifting-based Loop subdivision wavelets --- p.24 / Chapter 3.2.3 --- Biorthogonal Loop-subdivision wavelets with geometric constraints --- p.26 / Chapter 3. 3 --- Biorthogonal subdivision wavelets with geometric constraints for quadrilateral meshes --- p.35 / Chapter 3.3.1 --- Catmull-Clark subdivision and Doo-Sabin subdivision surfaces --- p.35 / Chapter 3.3.1.1 --- Catmull-Clark subdivision --- p.36 / Chapter 3.3.1.2 --- Doo-Sabin subdivision --- p.37 / Chapter 3.3.2 --- Biorthogonal subdivision wavelets with geometric constraints for quadrilateral meshes --- p.38 / Chapter 3.3.2.1 --- Biorthogonal Doo-Sabin subdivision wavelets with geometric constraints --- p.38 / Chapter 3.3.2.2 --- Biorthogonal Catmull-Clark subdivision wavelets with geometric constraints --- p.44 / Chapter 4 --- Experiments and results --- p.49 / Chapter 5 --- Conclusions and future work --- p.60 / Appendix A --- p.62 / Appendix B --- p.67 / Appendix C --- p.69 / Appendix D --- p.71 / References --- p.72
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327166 |
| Date | January 2010 |
| Contributors | Qin, Guiming., Chinese University of Hong Kong Graduate School. Division of Computer Science and Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 74 p. : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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