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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 歐陽明(Ming Ouhyoung) | |
| dc.contributor.author | Tzu-Chieh Chang | en |
| dc.contributor.author | 張子捷 | zh_TW |
| dc.date.accessioned | 2021-06-17T08:09:47Z | - |
| dc.date.available | 2024-08-20 | |
| dc.date.copyright | 2019-08-20 | |
| dc.date.issued | 2019 | |
| dc.date.submitted | 2019-08-16 | |
| dc.identifier.citation | B. Bitterli and W. Jarosz. Beyond points and beams: Higher-dimensional photon samples for volumetric light transport. ACM Transactions on Graphics (Proceedings of SIGGRAPH), 36(4):1–12, July 2017.
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Eurographics Association, 2007. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/73768 | - |
| dc.description.abstract | 本研究提出了一套基於密度估計技術的全局光照演算法。此方法奠基於現有之漸進式光子映射法，在疊代的過程中逐步加入更高頻率的光影細節。我們的方法藉由移除所有在場景模型內的奇異點，以強韌地捕捉所有可能的光傳輸路徑，且不必像一般光子映射法需在能量估計階段時進行材質相關參數的計算。我們所提出的光子錐收縮形式能確保在使用有限記憶體的前提下達成一致的估計，並有正式之數學證明與漸進誤差分析實驗以佐證其收斂性。最後，我們將含有複雜光傳輸路徑之場景其渲染結果與現今一致及無偏方法進行了質與量的分析和比較。 | zh_TW |
| dc.description.abstract | We propose a robust light transport algorithm that is able to capture all possible transport paths where the vast majority of the techniques involved are based on density estimation. It builds on top of existing progressive photon mapping methods where higher frequency lighting effects are added in subsequent iterations. Our approach is capable of eliminating all singularities encountered in a scene representation, and does not require evaluating material properties during the energy estimation process unlike the rest of photon mapping methods. The proposed photon cone focusing scheme is a consistent method that requires only finite memory to converge. A formal proof of convergence is given along with asymptotic analysis of estimation variance and bias. We compare our results to recent consistent and unbiased methods with scenes that contain difficult light paths in both qualitative and quantitative ways. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T08:09:47Z (GMT). No. of bitstreams: 1 ntu-108-R05922176-1.pdf: 9645958 bytes, checksum: 7d218a95ebb4aab2b6fdc4537364c4ab (MD5) Previous issue date: 2019 | en |
| dc.description.tableofcontents | 誌謝 iii
Acknowledgements v 摘要 vii Abstract ix List of Symbols and Abbreviations xxi Mathematical Symbols xxi Common Abbreviations xxii 1 Introduction 1 1.1 Related Work 3 1.2 Summary of Original Contributions 5 1.3 Thesis Organization 6 2 Understand Photon Mapping 7 2.1 Energy Packet Interpretation 8 2.1.1 Photon Shooting Pass 8 2.1.2 Visualization Pass 8 2.2 Measurement Interpretation 10 2.2.1 Mathematical Formulation 10 2.2.2 The Zero Contribution Problem 12 2.2.3 A Biased Solution 13 2.3 Kernel Density Estimation 15 2.4 The Complete Photon Map 16 2.5 Progressive Extensions 17 2.5.1 The XPPM Family 17 2.5.2 Bi-directional Unification 18 2.5.3 Mollifier, Relaxation, and Beyond 18 3 Derivations of Photon Cone Focusing 21 3.1 Choosing a 4-D Kernel 21 3.2 Photon Cone Measurement 23 3.3 Properties of Photon Cone Radiance Estimate 25 3.3.1 Variance of the Estimation Error 25 3.3.2 Expected Estimation Error 27 3.4 Progressive Bandwidth Shrinkage 29 3.5 Proof of Convergence 30 3.5.1 Variance of the Average Estimation Error 31 3.5.2 Expected Average Estimation Error 31 3.5.3 Convergence of the Pixel Estimator 33 3.6 The PCF Method 34 3.7 Generalizations 35 3.7.1 Arbitrary 4-D Kernels 36 3.7.2 Participating Media 36 4 The PCF Rendering Algorithm 37 4.1 A High-Level Overview 37 4.1.1 Storing and Querying Photon Cones 38 4.1.2 Controlling Variables 38 4.2 Guiding Cone Samples 40 4.2.1 BSDF Importance Sampling 40 4.2.2 Direct Camera Connections 43 4.2.3 Conical Importon Map 44 4.3 Multiple Importance Sampling 46 4.3.1 Binary Technique 47 4.3.2 Triplet Techniques 48 4.4 Possible Extensions 48 5 Robust Light Transport with Photon Cones 51 5.1 Characteristics 51 5.1.1 Path Regular Expression 52 5.2 Dissolving Singularities 55 5.3 Comparisons 55 5.3.1 Quantitative Analyses 56 5.3.2 Qualitative Analyses 57 5.3.3 Limitations 57 6 Conclusions 65 6.1 Future Work 66 A Path Tracing 67 A.1 Radiance and Throughput 67 A.2 The Measurement Equation 69 B Supplemental Derivations for PCF 71 B.1 Expressing Variance of the Estimation Error 71 B.2 Expressing Expected Estimation Error 72 B.3 Expected Value of the Kernel 73 Bibliography 77 | |
| dc.language.iso | en | |
| dc.subject | 光線追蹤 | zh_TW |
| dc.subject | 光子錐 | zh_TW |
| dc.subject | 彩現 | zh_TW |
| dc.subject | 渲染 | zh_TW |
| dc.subject | 算繪 | zh_TW |
| dc.subject | 全局光照 | zh_TW |
| dc.subject | 密度估計 | zh_TW |
| dc.subject | 光子映射 | zh_TW |
| dc.subject | 光照傳輸 | zh_TW |
| dc.subject | photon mapping | en |
| dc.subject | photon cone | en |
| dc.subject | global illumination | en |
| dc.subject | density estimation | en |
| dc.subject | light transport | en |
| dc.subject | ray tracing | en |
| dc.subject | rendering | en |
| dc.title | 以密度估計技術實現強韌光傳輸模擬 | zh_TW |
| dc.title | Density Estimation Techniques for Robust Light Transport Simulation | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 107-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 莊永裕(Yung-Yu Chuang),葉正聖(Jeng-Sheng Yeh) | |
| dc.subject.keyword | 光照傳輸,光子映射,密度估計,全局光照,算繪,渲染,彩現,光線追蹤,光子錐, | zh_TW |
| dc.subject.keyword | light transport,photon mapping,density estimation,global illumination,rendering,ray tracing,photon cone, | en |
| dc.relation.page | 81 | |
| dc.identifier.doi | 10.6342/NTU201901709 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2019-08-16 | |
| dc.contributor.author-college | 電機資訊學院 | zh_TW |
| dc.contributor.author-dept | 資訊工程學研究所 | zh_TW |
| 顯示於系所單位： | 資訊工程學系 | |
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