This is what I use for integration in C++ or python, just take the interval really really small
Heisenberg
I think the integral of 1/3x^2 should be 1/9x^3
rgrao
Yeah shouldn't that be 3x^2 integrating to x^3?
graphic_content
Yeah, I believe that the answer should be 1/9 for that one.
graphicstar11
How do we get an equation to integrate over from the image?
keenan
Thanks for pointing out the dumb error in my slide. Maybe I lean too heavily on numerical integration! :\
keenan
@graphicstar11 There are lots of places integrals naturally show up in images---for instance, if you're trying to accurately model the image generation process in a digital camera (e.g., for computer vision or computational photography) then you'd need to integrate the incident radiance against the response function associated with each sensor element.
This is what I use for integration in C++ or python, just take the interval really really small
I think the integral of 1/3x^2 should be 1/9x^3
Yeah shouldn't that be 3x^2 integrating to x^3?
Yeah, I believe that the answer should be 1/9 for that one.
How do we get an equation to integrate over from the image?
Thanks for pointing out the dumb error in my slide. Maybe I lean too heavily on numerical integration! :\
@graphicstar11 There are lots of places integrals naturally show up in images---for instance, if you're trying to accurately model the image generation process in a digital camera (e.g., for computer vision or computational photography) then you'd need to integrate the incident radiance against the response function associated with each sensor element.