## Volumetric Lighting - Update2

## Modular architecture for future updates and Scene lighting

For the second week my main goal initially was to set up a scene with basic lighting, including ambient, diffuse and specular lights. I started following the OpenGL Essentials Live Lessons

The live lessons gives supporting code for each lesson and has been really valuable in understanding the pipeline and the code prodived serves as a base for extending for future updates. The source code can be found here.

I spend first half of my week going through the live lessons and understanding the framework it provides. It gave me a better understanding of how cameras work and how the world, view and projection spaces work along with refreshers on vector and matrix math. Once I had the first demo integrated into the new code base, I moved to model loading and lighting. Model loading was already avaialble as part of the framework using Assimp library.

Here is the high level summary of what I achieved over the week:

- Detailed Blog post for first week’s learnings
- Understanding OpenGL pipeline through the live lessons. I am at the lighting chapter of the lessons right now, specifically at diffuse lighting (Section 5.2)
- Loading OBJ models with texture mapping. Supports only 1 mesh per model and 1 texture per mesh as of now.
- Implemented simple ambient light model
- Half way through implementing diffuse light model.
- Volumetric Lighting Algorithm Study - Alogrithm by Ubisoft SIGGRAPH 2014

### Understanding Volumetric Fog Algorithm

The alogithm mentioned above explains the following about light scattering. Lincoming = Ltransmitted + Labsorbed + Lscattered where Lincoming is the total light emitted from the light source

Every particle large enough to affect photons/light rays takes part in the light transport equation. Dust or water particles make some light rays bounce in random directions, making some light enter the light path (in-scattering) and also some light gets bounced away, exiting the light path and becoming darker (out-scattering). In the real world light bounces off multiple times and each particle does both in-scattering and out-scattering. To simplify this algorithm, we ignore multiple scattering.

#### Beer Lambert’s Law

Beer Lambert’s Law defines the amount of light scattered.

𝛽𝑒 is extinction coefficient, defined as sum of scattering and absorption coefficients. This shows that light extinction is exponential function of
travelled distance by light in given medium.