$30 off During Our Annual Pro Sale. View Details »

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
Computational OT #4 - Gradient flow and diffusion models
Avatar for Gabriel Peyré gpeyre
0
720
Computational OT #1 - Monge and Kantorovitch
Avatar for Gabriel Peyré gpeyre
0
770
Computational OT #2 - Entropic regularization
Avatar for Gabriel Peyré gpeyre
0
350
Computational OT #3 - Dual and semidiscrete
Avatar for Gabriel Peyré gpeyre
0
250
Optimal and Diffusion Transports in Machine Learning
Avatar for Gabriel Peyré gpeyre
0
2k
The Mathematics of AI
Avatar for Gabriel Peyré gpeyre
1
2.2k
Transformers are Universal in Context Learners
Avatar for Gabriel Peyré gpeyre
0
940
Ground Metric Learning with applications in genomics
Avatar for Gabriel Peyré gpeyre
0
750
Generative AI - practice and theory
Avatar for Gabriel Peyré gpeyre
2
1.3k

Other Decks in Research

See All in Research
病院向け生成AIプロダクト開発の実践と課題
Avatar for Takashi Nishibayashi hagino3000
0
450
令和最新技術で伝統掲示板を再構築: HonoX で作る型安全なスレッドフロート型掲示板 / かろっく@calloc134 - Hono Conference 2025
Avatar for calloc134 calloc134
0
440
単施設でできる臨床研究の考え方
Avatar for Shuntaro Sato shuntaros
0
3.3k
AlphaEarth Foundations: An embedding field model for accurate and efficient global mapping from sparse label data
Avatar for SatAI.challenge satai
3
540
思いつきが武器になる：研究というゲームを始めよう / Ideas Are Your Equipments : Let the Game of Research Begin!
Avatar for Kenji Saito ks91
PRO
0
110
POI: Proof of Identity
Avatar for MATSUMOTO Katsuyoshi katsyoshi
0
120
Learning to (Learn at Test Time): RNNs with Expressive Hidden States
Avatar for Hiroto Kurita kurita
1
290
Neural Spatial Audio Processing for Sound Field Analysis and Control
Avatar for NII S. Koyama's Lab skoyamalab
0
120
離散凸解析に基づく予測付き離散最適化手法 (IBIS '25)
Avatar for Taihei OKI taihei_oki
PRO
1
620
MIRU2025 チュートリアル講演「ロボット基盤モデルの最前線」
Avatar for Kento Kawaharazuka haraduka
15
11k
CVPR2025論文紹介：Unboxed
Avatar for 村川卓也 murakawatakuya
0
220
VectorLLM: Human-like Extraction of Structured Building Contours via Multimodal LLMs
Avatar for SatAI.challenge satai
4
510

Featured

See All Featured
The Language of Interfaces
Avatar for Des Traynor destraynor
162
25k
Save Time (by Creating Custom Rails Generators)
Avatar for Garrett Dimon garrettdimon
PRO
32
1.8k
The Web Performance Landscape in 2024 [PerfNow 2024]
Avatar for Tammy Everts tammyeverts
12
970
Designing Dashboards & Data Visualisations in Web Apps
Avatar for Des Traynor destraynor
231
54k
[SF Ruby Conf 2025] Rails X
Avatar for Vladimir Dementyev palkan
0
540
Thoughts on Productivity
Avatar for Jon Yablonski jonyablonski
73
5k
The Psychology of Web Performance [Beyond Tellerrand 2023]
Avatar for Tammy Everts tammyeverts
49
3.2k
Rails Girls Zürich Keynote
Avatar for Gregor Martynus gr2m
95
14k
Large-scale JavaScript Application Architecture
Avatar for Addy Osmani addyosmani
515
110k
The MySQL Ecosystem @ GitHub 2015
Avatar for Sam Lambert samlambert
251
13k
How to Ace a Technical Interview
Avatar for Jacob Kaplan-Moss jacobian
281
24k
Dealing with People You Can't Stand - Big Design 2015
Avatar for Cassini Nazir cassininazir
367
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