Upgrade to Pro — share decks privately, control downloads, hide ads and more …

A Microlocal Viewpoint of Rendering

Avatar for Gabriel Peyré Gabriel Peyré
July 18, 2007
Research
1
230

A Microlocal Viewpoint of Rendering

Presentation at ICIAM 2007
Joint work with Laurent Demanet

Avatar for Gabriel Peyré

Gabriel Peyré

July 18, 2007
Tweet

More Decks by Gabriel Peyré

See All by Gabriel Peyré
The mathematics of transformers
Avatar for Gabriel Peyré gpeyre
0
120
Computational OT #4 - Gradient flow and diffusion models
Avatar for Gabriel Peyré gpeyre
0
840
Computational OT #1 - Monge and Kantorovitch
Avatar for Gabriel Peyré gpeyre
0
940
Computational OT #2 - Entropic regularization
Avatar for Gabriel Peyré gpeyre
0
450
Computational OT #3 - Dual and semidiscrete
Avatar for Gabriel Peyré gpeyre
0
300
Optimal and Diffusion Transports in Machine Learning
Avatar for Gabriel Peyré gpeyre
0
2.3k
The Mathematics of AI
Avatar for Gabriel Peyré gpeyre
1
2.4k
Transformers are Universal in Context Learners
Avatar for Gabriel Peyré gpeyre
0
990
Ground Metric Learning with applications in genomics
Avatar for Gabriel Peyré gpeyre
0
780

Other Decks in Research

See All in Research
明日から使える！研究効率化ツール入門
Avatar for Yusuke Matsui matsui_528
9
3.8k
Aurora Serverless からAurora Serverless v2への課題と知見を論文から読み解く/Understanding the challenges and insights of moving from Aurora Serverless to Aurora Serverless v2 from a paper
Avatar for bootjp / ぶーと bootjp
6
1.5k
svc-hook: hooking system calls on ARM64 by binary rewriting
Avatar for Akira Moroo retrage
2
170
FUSE-RSVLM: Feature Fusion Vision-Language Model for Remote Sensing
Avatar for SatAI.challenge satai
3
220
[チュートリアル] 電波マップ構築入門 ：研究動向と課題設定の勘所
Avatar for Koya SATO k_sato
0
330
LiDARセキュリティ最前線（2025年）
Avatar for Yoshioka Lab (Keio CSG) kentaroy47
0
260
世界モデルにおける分布外データ対応の方法論
Avatar for Hidehisa Arai koukyo1994
7
2k
通時的な類似度行列に基づく単語の意味変化の分析
Avatar for hajime kiyama rudorudo11
0
180
2026 東京科学大 情報通信系 研究室紹介 (大岡山)
Avatar for Tokyo Tech ICT Dept. icttitech
0
760
業界横断 副業コンプライアンス調査 三者（副業者・本業先・発注者）におけるトラブル認知ギャップの構造分析
Avatar for fkske fkske
0
1.2k
英語教育 “研究” のあり方：学術知とアウトリーチの緊張関係
Avatar for TerasawaT terasawat
1
520
都市交通マスタープランとその後への期待＠熊本商工会議所・熊本経済同友会
Avatar for Traffic Brain trafficbrain
0
170

Featured

See All Featured
Mozcon NYC 2025: Stop Losing SEO Traffic
Avatar for Sam Torres samtorres
0
180
Organizational Design Perspectives: An Ontology of Organizational Design Elements
Avatar for Dr. Kim W Petersen kimpetersen
PRO
1
640
Avoiding the “Bad Training, Faster” Trap in the Age of AI
Avatar for Mike Taylor tmiket
0
100
Agile Actions for Facilitating Distributed Teams - ADO2019
Avatar for Mark Kilby mkilby
0
150
Ruling the World: When Life Gets Gamed
Avatar for Sebastian Deterding codingconduct
0
170
Building Applications with DynamoDB
Avatar for Matt Wood mza
96
7k
The Straight Up "How To Draw Better" Workshop
Avatar for Dennis Kardys denniskardys
239
140k
Leo the Paperboy
Avatar for Maya Tellez mayatellez
4
1.5k
What’s in a name? Adding method to the madness
Avatar for The Alliance productmarketing
PRO
24
4k
Building Adaptive Systems
Avatar for Chris Keathley keathley
44
3k
Music & Morning Musume
Avatar for Bryan Veloso bryan
47
7.1k
Intergalactic Javascript Robots from Outer Space
Avatar for Vicent Martí tanoku
273
27k

Transcript

  1. A Microlocal Viewpoint of Rendering Université Paris Dauphine Université Paris

    Dauphine Stanford University Stanford University Gabriel Gabriel Peyré Peyré Laurent Laurent Demanet Demanet

  2. The radiosity equation The radiosity equation

  3. Flatland Example Flatland Example

  4. More More Complex Example Complex Example

  5. Examples Examples in 3D in 3D

  6. Microlocal Microlocal Description of Description of Light/Shadow Light/Shadow

  7. Gemetrical Gemetrical Description of LSR Description of LSR

  8. Geometrical Theorem Geometrical Theorem

  9. Composition of Composition of the the LSR LSR

  10. Point Light: Silhouette Point Light: Silhouette

  11. Silhouette Silhouette Regularity Regularity

  12. Silhouette Silhouette Examples Examples

  13. Extended Extended Light Source Light Source

  14. Extended Extended Light: Light: Regularity Regularity of of the the

    LSR LSR

  15. LSR LSR Precomputation Precomputation

  16. Numerical Example Numerical Example

  17. Numerical Example Numerical Example

  18. Conclusion Conclusion