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Pocol (@ProjectAsura)

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Photon Mapping (PM)

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• • • • • ※S: Specular, D: Diffuse を表す

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Progressive Photon Mapping (PPM)

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• アルゴリズム上の順番を変更する。 • 先にカメラからトレーシングして計算点を生成。 • 次にフォトントレーシングを繰り返して統計量を更新する。

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Stochastic Progressive Photon Mapping (SPPM)

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Fast Radius Search Exploiting Ray-Tracing Frameworks

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• “Fast Radius Search Exploiting Ray-Tracing Frameworks” Journal of Computer Graphics Techniques, Vol.10, No.1, 2021. • GPU kd-tree • Acceleration Structure

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𝑟 𝑝1 𝑝2 𝑝3

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𝑟 𝑝1 𝑝2 𝑝3 𝑟 𝑟 𝑑

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Accelerating Photon Mapping for Hardware-Based Ray Tracing

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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説明のため2D図

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uint hashIdx = calcHash(photonCell) & (GRID_SIZE-1);

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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• • listSize/n n>listSize) listSize=3 •

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フォトン収集の疑似コードを次のように変更

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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HitInfo, View Direction, Throughput Photon Flux, Photon Direction Photon AABB Acceleration Structure

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• 𝑟𝑖+1 = 𝑟𝑖 𝑖 + 𝛼 / 𝑖 + 1 𝑟 : 𝑖 : 𝛼: 𝛼は

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最後に…

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• [Kern 2023] Rene Kern, Felix Brull, Thorsten Grosch, “Accelerating Photon Mapping for Hardware-Based Ray Tracing”, Journal of Computer Graphics Techniques, Vol. 12, No.1, 2023 • [Hachisuka 2008] Toshiya Hachisuka, Shinji Ogaki, Henrik Wann Jensen, “Progressive Photon Mapping”, ACM Transaction on Graphics, Vol. 27, Issue 5, No. 130, pp1-8, 2008. • [Hachisuka 2009] Toshiya Hachisuka, Henrik Wann Jensen, “Stochastic progressive photon mapping”, SIGGRAPH Asia 2009 papers, No. 141, pp. 1-8, 2009. • [Evangelou 2021] I.Evangelou, G.Papaioannou, K.Vardis, A.A.Vasilakis, “Fast Radius Search Exploiting Ray-Tracing Frameworks”, Journal of Computer Graphics Techniques, Vo.10, No.1, 2021. • [Kaplanyan 2013] Anton S. Kaplanyan, Carsten Dachsbacher, “Adaptive Progressive Photon Mapping”, ACM Transactions on Graphics 32, 2 (April), 16:1–16:13. URL: https://doi.org/10.1145/2451236.2451242. • [Kanus 2011] Claude Kanus, Matthias Zwicker, “Progressive photon mapping: A probabilistic apparoch”, ASM Transactions on Graphics (TOG), Vol. 30, Issue 3, No. 25, pp.1-13, 2011.

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