Chow, Yuk Pui. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 83-87). / Abstracts in English and Chinese. / Chapter 1. --- Introduction --- p.13-16 / Chapter 1.1. --- Motivation --- p.13 / Chapter 1.2 --- Objectives --- p.14-15 / Chapter 1.3 --- Thesis Organization --- p.16 / Chapter 2. --- Related Works --- p.17-24 / Chapter 2.1 --- Axial and the Free Form Deformation --- p.17 / Chapter 2.1.1 --- The Free-Form Deformation --- p.18 / Chapter 2.1.2 --- The Lattice-based Representation --- p.18 / Chapter 2.1.3 --- The Axial Deformation --- p.19-20 / Chapter 2.1.4 --- Curve Pair-based Representation --- p.21-22 / Chapter 2.2 --- Self Intersection Detection --- p.23-24 / Chapter 3. --- Axial Deformation with Controllable LCFs --- p.25-46 / Chapter 3.1 --- Related Methods --- p.25 / Chapter 3.2 --- Axial Space --- p.26-27 / Chapter 3.3 --- Definition of Local Coordinate Frame --- p.28-29 / Chapter 3.4 --- Constructing Axial Curve with LCFs --- p.30 / Chapter 3.5 --- Point Projection Method --- p.31-32 / Chapter 3.5.1 --- Optimum Reference Axial Curve Point --- p.33 / Chapter 3.6 --- Advantages using LCFs in Axial Deformation --- p.34 / Chapter 3.6.1 --- Deformation with Smooth Interpolated LCFs --- p.34-37 / Chapter 3.6.2 --- Used in Closed-curve Deformation --- p.38-39 / Chapter 3.6.3 --- Hierarchy of Axial Curve --- p.40 / Chapter 3.6.4 --- Applications in Soft Object Deformation --- p.41 / Chapter 3.7 --- Experiments and Results --- p.42-46 / Chapter 4. --- Self Intersection Detection of Axial Curve with LCFs --- p.47-76 / Chapter 4.1 --- Related Works --- p.48-49 / Chapter 4.2 --- Algorithms for Solving Self-intersection Problem with a set of LCFs --- p.50-51 / Chapter 4.2.1 --- The Intersection of Two Plane --- p.52 / Chapter 4.2.1.1 --- Constructing the Normal Plane --- p.53-54 / Chapter 4.2.1.2 --- A Line Formed by Two Planes Intersection --- p.55-57 / Chapter 4.2.1.3 --- Problems --- p.58 / Chapter 4.2.1.4 --- Sphere as Constraint --- p.59-60 / Chapter 4.2.1.5 --- Intersecting Line between Two Circular Discs --- p.61 / Chapter 4.2.2 --- Distance between a Mesh Vertex and a Curve Point --- p.62-63 / Chapter 4.2.2.1 --- Possible Cases of a Line and a Circle --- p.64-66 / Chapter 4.3 --- Definition Proof --- p.67 / Chapter 4.3.1 --- Define the Meaning of Self-intersection --- p.67 / Chapter 4.3.2 --- Cross Product of Two Vectors --- p.68 / Chapter 4.4 --- Factors Affecting the Accuracy of the Algorithm --- p.69 / Chapter 4.3.1 --- High Curvature of the Axial Curve --- p.69-70 / Chapter 4.3.2 --- Mesh Density of an Object. --- p.71-73 / Chapter 4.5 --- Architecture of the Self Intersection Algorithm --- p.74 / Chapter 4.6 --- Experimental Results --- p.75- 79 / Chapter 5. --- Conclusions and Future Development --- p.80-82 / Chapter 5.1 --- Contribution and Conclusions --- p.80-81 / Chapter 5.2 --- Limitations and Future Developments --- p.82 / References --- p.83-87
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327036 |
| Date | January 2010 |
| Contributors | Chow, Yuk Pui., Chinese University of Hong Kong Graduate School. Division of Mechanical and Automation Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 87 leaves : col. 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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