Liu Zheng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 69-72). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Contributions --- p.2 / Chapter 1.2 --- Dissertation Organization --- p.3 / Chapter 2 --- Problem Statement and Background Study --- p.4 / Chapter 2.1 --- Problem Statement --- p.4 / Chapter 2.2 --- Background Study --- p.6 / Chapter 2.2.1 --- Overview of Pattern Discovery Methods --- p.7 / Chapter 2.2.2 --- Applications --- p.9 / Chapter 3 --- Ball Discovery Algorithms --- p.13 / Chapter 3.1 --- Brute-force Method for Ball Discovery --- p.13 / Chapter 3.2 --- Ball Discovery with Small Point Sets --- p.15 / Chapter 3.2.1 --- Pruning the Search Space Using RP-tree --- p.15 / Chapter 3.2.2 --- CB-tree - Collection of Balls in a Compact and Complete Form --- p.22 / Chapter 3.2.3 --- Algorithm of Finding Balls Using RP-tree and CB-tree --- p.31 / Chapter 3.3 --- Ball Discovery in Large Point Sets --- p.31 / Chapter 3.3.1 --- Candidate Sets of Balls --- p.31 / Chapter 3.3.2 --- A Divide-and-Conquer Algorithm --- p.35 / Chapter 3.4 --- Heuristic Greedy Algorithms for Ball Discovery --- p.37 / Chapter 3.4.1 --- A Heuristic Greedy Algorithm --- p.37 / Chapter 3.4.2 --- Another Heuristic Greedy Algorithm --- p.38 / Chapter 4 --- Evaluations --- p.40 / Chapter 5 --- Discussion --- p.59 / Chapter 5.1 --- Order and Index the Points --- p.59 / Chapter 5.2 --- Incremental Points Update --- p.59 / Chapter 5.3 --- Smallest Enclosed Ball Algorithm --- p.60 / Chapter 6 --- Conclusion and Future Research --- p.61 / Chapter A --- Appendix --- p.63 / Chapter A.1 --- Fundamental Algorithms --- p.63 / Chapter A.1.1 --- Computing Smallest Enclosed Ball of a Point Set in Euclidean Space --- p.63 / Chapter A.1.2 --- Finding All Cliques of an Undirected Graph --- p.65 / Chapter A.2 --- An Example of a Small Data Set --- p.66 / Bibliography --- p.69
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324990 |
| Date | January 2004 |
| Contributors | Liu, Zheng., Chinese University of Hong Kong Graduate School. Division of Systems Engineering and Engineering Management. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, x, 72 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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