Frequency Analysis of Light Transport

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- About this course
- Result of 11 years of research so far
- Started with Durand et al. [2005]

- About the lecture
- Not targetting completness or details
- Give a taste of different possibilities

- PBR rely a lot on sampling
- Plagued by noise
- Hard to know a stopping criterion

- Frequency Analysis can solve part of it!

- Examples of today's lecture's applications

- Adaptive sampling
- Upsampling
- Density estimation
- Anti-aliasing

- In the Signal Processing toolbox
- Study of signals and their transformations
- Application to digitalization, sampling, numerical integration

- Use the Fourier Transform
- Predict the smoothness in rendering
- Use it to adapt and optimize rendering

- However
- We cannot fully render the image
- We only need a conservative prediction

- But without limitations
- Be able to treat defocus, motion blur, ...
- Work for offline and
*real-time*contexts

- Need to go to the fundementals
- Rendering Equation [Kajiya 1986]
- Even a little step further ...

- Break the Rendering Equation into pieces
- Decompose shading, defocus, motion, ...
- To perform and compose the analysis

- First a quick recap of the Rendering Equation

- Introduction
- Frequency Operators
- Travel & Occlusion
- Reflection & Refraction
- Scattering & Absorption

- Applications
- Adaptive sampling & denoising
- Upsampling
- Density estimation
- Antialiasing

- Conclusion

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