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Representing spherical functions with rhombic dodecahedron.

Ng Lai Sze. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 135-140). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Spherical Data Representation --- p.4 / Chapter 3 --- Rhombic Dodecahedron --- p.7 / Chapter 3.1 --- Introduction --- p.7 / Chapter 3.2 --- "Platonic Solids, Archimedean Solids and Dual Polyhedron" --- p.8 / Chapter 3.2.1 --- Platonic Solids --- p.8 / Chapter 3.2.2 --- Archimedean Solids --- p.10 / Chapter 3.2.3 --- Dual Polyhedron --- p.13 / Chapter 3.3 --- Rhombic Dodecahedron --- p.16 / Chapter 3.3.1 --- Basic Property of Rhombic Dodecahedron --- p.16 / Chapter 3.3.2 --- Construction of Rhombic Dodecahedron --- p.16 / Chapter 3.3.3 --- Advantages of Rhombic Dodecahedron --- p.16 / Chapter 3.4 --- Summary --- p.19 / Chapter 4 --- Subdivision Scheme --- p.21 / Chapter 4.1 --- Introduction --- p.21 / Chapter 4.2 --- Motivation --- p.22 / Chapter 4.3 --- Great Circle Subdivision --- p.22 / Chapter 4.3.1 --- Normal Space Analysis --- p.23 / Chapter 4.4 --- Small Circle Subdivision --- p.25 / Chapter 4.5 --- Skew Great Circle Subdivision --- p.27 / Chapter 4.6 --- Analysis --- p.28 / Chapter 4.6.1 --- Sampling Uniformity --- p.29 / Chapter 4.6.2 --- Area Uniformity --- p.32 / Chapter 4.6.3 --- Stretch Measurement --- p.35 / Chapter 4.6.4 --- Query Efficiency --- p.39 / Chapter 4.7 --- Summary --- p.40 / Chapter 5 --- Data Querying and Indexing --- p.42 / Chapter 5.1 --- Introduction --- p.42 / Chapter 5.2 --- Location of base polygon --- p.43 / Chapter 5.2.1 --- General Method --- p.43 / Chapter 5.2.2 --- Tailored Table Look Up Method --- p.45 / Chapter 5.3 --- Location of the subdivided area --- p.49 / Chapter 5.3.1 --- On Deriving the Indexing Equation --- p.50 / Chapter 5.4 --- Summary --- p.54 / Chapter 6 --- Environment Mapping --- p.56 / Chapter 6.1 --- Introduction --- p.56 / Chapter 6.2 --- Related Work --- p.57 / Chapter 6.3 --- Methodology --- p.58 / Chapter 6.4 --- Data Preparation --- p.59 / Chapter 6.4.1 --- Re-sampling of Data on Sphere --- p.60 / Chapter 6.4.2 --- Preparation of Texture --- p.65 / Chapter 6.5 --- Reflection and Refraction by environment mapping --- p.68 / Chapter 6.5.1 --- Location and Retrieval of Data --- p.68 / Chapter 6.5.2 --- Cg Implementation --- p.70 / Chapter 6.6 --- Experiments --- p.76 / Chapter 6.6.1 --- Experiment Setup --- p.76 / Chapter 6.6.2 --- Experiment Result and Analysis --- p.78 / Chapter 6.7 --- Summary --- p.89 / Chapter 7 --- Shadow Mapping --- p.92 / Chapter 7.1 --- Introduction --- p.92 / Chapter 7.2 --- Related Work --- p.93 / Chapter 7.3 --- Methodology --- p.95 / Chapter 7.4 --- Data Preparation --- p.97 / Chapter 7.5 --- Shadow Determination and Scene Illumination --- p.98 / Chapter 7.6 --- Experiments --- p.100 / Chapter 7.6.1 --- Experiment Setup --- p.100 / Chapter 7.6.2 --- Experiment Result and Analysis --- p.101 / Chapter 7.7 --- Summary --- p.107 / Chapter 8 --- Dynamic HDR Environment Sequences Sampling --- p.110 / Chapter 8.1 --- Introduction --- p.110 / Chapter 8.2 --- Related Work on HDR Distant Environment Map Sampling --- p.112 / Chapter 8.3 --- Static Sampling by Spherical Quad-Quad Tree --- p.114 / Chapter 8.3.1 --- Importance Metric --- p.117 / Chapter 8.4 --- Dynamic Sampling by Spherical Quad-Quad Tree --- p.121 / Chapter 8.5 --- Experiments --- p.125 / Chapter 8.5.1 --- Static Sampling --- p.125 / Chapter 8.5.2 --- Dynamic Sampling --- p.126 / Chapter 8.6 --- Summary --- p.132 / Chapter 9 --- Conclusion --- p.133 / Bibliography --- p.135

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325527
Date January 2006
ContributorsNg, Lai Sze., Chinese University of Hong Kong Graduate School. Division of Computer Science and Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xi, 140 leaves : ill. (some col.) ; 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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