by Hu, Chen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 36-39). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Noise Model --- p.1 / Chapter 1.1.1 --- Impulse Noise --- p.1 / Chapter 1.2 --- Removing Impulse Noise --- p.2 / Chapter 1.2.1 --- Nonlinear Filter --- p.3 / Chapter 1.2.2 --- Variational Method --- p.4 / Chapter 1.3 --- Organization of the Dissertation --- p.5 / Chapter 2 --- Review of ACWMF and DPVM --- p.7 / Chapter 2.1 --- Review of ACWMF --- p.7 / Chapter 2.2 --- Review of DPVM --- p.9 / Chapter 2.2.1 --- Minimization Scheme --- p.9 / Chapter 3 --- Two-Phase Iterative Method --- p.12 / Chapter 3.1 --- Introduction --- p.12 / Chapter 3.2 --- Two-Phase Scheme --- p.13 / Chapter 3.2.1 --- Detection Phase --- p.13 / Chapter 3.2.2 --- Restoration Phase --- p.13 / Chapter 3.2.3 --- Summary of the Algorithm --- p.14 / Chapter 4 --- Nonlinear Equation Solver --- p.16 / Chapter 4.1 --- Introduction --- p.16 / Chapter 4.2 --- Newton's Method --- p.17 / Chapter 4.2.1 --- Newton's Method --- p.17 / Chapter 4.2.2 --- Order of Convergence --- p.17 / Chapter 4.3 --- Secant Method --- p.19 / Chapter 4.3.1 --- Secant Method --- p.19 / Chapter 4.3.2 --- Order of Convergence --- p.19 / Chapter 4.4 --- Secant-like Method --- p.21 / Chapter 4.4.1 --- Secant-like Method --- p.21 / Chapter 4.4.2 --- Order of Convergence --- p.24 / Chapter 5 --- Numerical Experiments --- p.27 / Chapter 5.1 --- Removing Noise --- p.27 / Chapter 5.2 --- Complexity of Algorithm --- p.33 / Chapter 6 --- Concluding Remarks --- p.35 / Bibliography --- p.36
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324900 |
| Date | January 2004 |
| Contributors | Hu, Chen., 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, v, 39 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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