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
250
1

A Microlocal Viewpoint of Rendering

Presentation at ICIAM 2007
Joint work with Laurent Demanet

Avatar for Gabriel Peyré

Gabriel Peyré

July 18, 2007

More Decks by Gabriel Peyré

See All by Gabriel Peyré
IA for theory
Avatar for Gabriel Peyré gpeyre
1
400
The mathematics of transformers
Avatar for Gabriel Peyré gpeyre
1
450
Computational OT #4 - Gradient flow and diffusion models
Avatar for Gabriel Peyré gpeyre
1
1k
Computational OT #1 - Monge and Kantorovitch
Avatar for Gabriel Peyré gpeyre
0
1.2k
Computational OT #2 - Entropic regularization
Avatar for Gabriel Peyré gpeyre
0
570
Computational OT #3 - Dual and semidiscrete
Avatar for Gabriel Peyré gpeyre
1
390
Optimal and Diffusion Transports in Machine Learning
Avatar for Gabriel Peyré gpeyre
0
2.5k
The Mathematics of AI
Avatar for Gabriel Peyré gpeyre
1
2.5k
Transformers are Universal in Context Learners
Avatar for Gabriel Peyré gpeyre
0
1.1k

Other Decks in Research

See All in Research
敵対生成プロンプト同時探索による内省型プロンプト最適化
Avatar for Kotaro Inoue kinoue_smarthr
0
400
SOTAのさらに先へ：厳しい推論制約下での高性能モデルのPost-Training
Avatar for Hiroshi Y (RabotniKuma) analokmaus
0
1.5k
マーケットストリート 社会実験2024 in 秋葉原ジャンク通り 調査報告書
Avatar for 日本大学 都市計画研究室（泉山ゼミ） izumiyama_lab
1
130
【Zozo Research 技術共有会】三次元領域の現在と展望
Avatar for 小島瑞貴 mickey_0226
3
600
第64回CV・PRML勉強会　論文紹介：Linguistic Priors for Visual Decoupling: Towards Symmetric Vision-Brain Alignment
Avatar for Soki Katayama sokikatayama
0
180
2026年版中小企業白書・小規模企業白書の概要
Avatar for Takashi Ozeki ozekinote
0
210
Fukui Shibiten 39 - AI Art
Avatar for IWABUCHI Yu(u)ki butchi butchi
0
190
[BlackHatAsia2026] Hidden Telemetry: Uncovering TraceLogging ETW Providers You're Not Using (Yet)
Avatar for Asuka Nakajima asuna_jp
1
690
Cross-Media Information Spaces and Architectures
Avatar for Beat Signer signer
PRO
0
360
HackSick vol.7 LT資料【LLMアーキテクチャ入門・事前学習時の躓き所解説】 スパースなAttention・状態空間モデル
Avatar for Rikka Botan rikkabotan7
0
170
論文紹介：Doc-to-LoRA: Learning to Instantly Internalize Contexts
Avatar for Yukako Nakano yukako_nakano
0
150
[最先端NLP勉強会2026] Agentic Rubrics as Contextual Verifiers for SWE Agents
Avatar for Ryo Fujii rfujii
1
340

Featured

See All Featured
Measuring Dark Social's Impact On Conversion and Attribution
Avatar for Stephen Akadiri stephenakadiri
2
270
Un-Boring Meetings
Avatar for Sebastian Deterding codingconduct
0
410
Tell your own story through comics
Avatar for letsgokoyo letsgokoyo
1
1.1k
The Psychology of Web Performance [Beyond Tellerrand 2023]
Avatar for Tammy Everts tammyeverts
49
3.5k
Stop Working from a Prison Cell
Avatar for Chris Michel hatefulcrawdad
274
21k
Navigating the moral maze — ethical principles for Al-driven product design
Avatar for Skipper Chong Warson skipperchong
2
520
10 Git Anti Patterns You Should be Aware of
Avatar for Lemi Orhan Ergin lemiorhan
PRO
659
62k
How to Build an AI Search Optimization Roadmap - Criteria and Steps to Take #SEOIRL
Avatar for Aleyda Solis aleyda
1
2.2k
Building a A Zero-Code AI SEO Workflow
Avatar for Ian Lurie portentint
PRO
0
700
RailsConf 2023
Avatar for Aaron Patterson tenderlove
30
1.5k
Dominate Local Search Results - an insider guide to GBP, reviews, and Local SEO
Avatar for Greg Gifford greggifford
PRO
0
320
Avoiding the “Bad Training, Faster” Trap in the Age of AI
Avatar for Mike Taylor tmiket
0
230

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