Camera Response Function

[Saouli]

Hey Fabian, I hope you are doing good.
Well, about your shading term; you assumed that Image intensity must be equal the estimated irradiance ( actually you used the gradient) but what if you used the Camera Response Function (CRF), naturally this function relates the scene irradiance R to the image intensity I. So estimating this function first then using it into shading term will enhance the result (probably) and you still don't need to use albedo (included in crf) and also you can avoid using gradient since your intensity is more accurate.

[Fabian Langguth]

Sorry I don't fully understand what you're saying. In general: Yes if you know the response function of the camera you can create a more accurate linear input which helps the reconstruction.

Otherwise

you still don't need to use albedo (included in crf)

This is just wrong. The response function of the camera is in no way related to the surface albedo.

you can avoid using gradient since your intensity is more accurate

This is also not the reason why we use the gradient. The gradient has much more benefits.

[Fabian Langguth]

Closing due to inactivity.