Axial deformation with controllable local coordinate frames.

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327036
Date January 2010
ContributorsChow, Yuk Pui., Chinese University of Hong Kong Graduate School. Division of Mechanical and Automation Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 87 leaves : col. ill. ; 30 cm.
RightsUse 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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