Cheng, Kei Tsi Daniel. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 45-49). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Background Knowledge --- p.6 / Chapter 2.1 --- Image Restoration using Total Variation Norm --- p.6 / Chapter 2.2 --- An Example of Tight Frame system --- p.10 / Chapter 2.3 --- Sparse and compressed representation --- p.13 / Chapter 2.4 --- Existence of minimizer in convex analysis --- p.16 / Chapter 3 --- Tight Frame Based Minimization --- p.18 / Chapter 3.1 --- Tight Frames --- p.18 / Chapter 3.2 --- Minimization Problems and Algorithms --- p.19 / Chapter 3.3 --- Other Minimization Problems --- p.22 / Chapter 4 --- Algorithm from minimization problem 3 --- p.24 / Chapter 5 --- Algorithm from minimization problem 4 --- p.28 / Chapter 6 --- Convergence of Algorithm 2 --- p.31 / Chapter 6.1 --- Inner Iteration --- p.31 / Chapter 6.2 --- Outer Iteration --- p.33 / Chapter 6.2.1 --- Existence of minimizer --- p.33 / Chapter 7 --- Numerical Results --- p.37 / Chapter 8 --- Conclusion --- p.44
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326005 |
| Date | January 2007 |
| Contributors | Cheng, Kei Tsi Daniel., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vi, 49 leaves : 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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