by Chun-pong Cheung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 48-51). / Chapter Chapter 1 --- INTRODUCTION --- p.1 / Chapter §.1.1 --- Toeplitz and Circulant Matrix --- p.1 / Chapter §1.2 --- Conjugate Gradient Method --- p.5 / Chapter §1.3 --- Outline of the Thesis --- p.9 / Chapter Chapter 2 --- INVERSE PROBLEM --- p.11 / Chapter §2.1 --- Inverse Problem --- p.11 / Chapter §2.2 --- Tikhonov Regularization --- p.12 / Chapter Chapter 3 --- FAST ALGORITHM ON THERMAL TOMOGRAPHY --- p.14 / Chapter §3.1 --- Introduction --- p.15 / Chapter §3.2 --- Linearization --- p.15 / Chapter §3.3 --- Regularization by the Identity Operator --- p.17 / Chapter §3.4 --- Regularization by the Laplacian Operator --- p.18 / Chapter §3.5 --- Preconditioning with the Laplacian --- p.21 / Chapter Chapter 4 --- COMPUTERIZED TOMOGRAPHY SCAN --- p.27 / Chapter §4.1 --- Projection Problem --- p.27 / Chapter §4.2 --- Radon Transform --- p.29 / Chapter §4.3 --- Reformulation of Projection Problem --- p.31 / Chapter §4.4 --- Numerical Experiments --- p.35 / Chapter §4.5 --- Sirhplification of Formula --- p.41 / References --- p.48
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322010 |
| Date | January 1997 |
| Contributors | Cheung, Chun-pong., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, v, 51 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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