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One more thing. (Sorry, I haven't thought about this stuff for a while, so it's all coming back to me in pieces.) Your method *could* be made to work, by adjusting the pdf like so: you start with the uniform cone PDF based on the projected interior solid angle, then convert to a PDF over the visible...

Ahh. I had realized that this changes the distribution of rays, but thought that as long as the PDF was correct this wouldn't be a problem. Now that you explained it I can see why biasing towards the edges is incorrect: if, for example, an object is eclipsing the center of the light as seen from th...

Thanks for the reply akalin, With my method I propose turning the sampling "inside out", so rather than sampling the sphere from the ray origin, what I'm trying to do there is sample a direction from the cone inside the sphere that results in a point that's visible from our origin. So the...

I've had a similar confusion while reading PBRT. I like to derive all algorithms myself from first principles, so while deriving the sphere sampling one I arrived at an (in my opinion) simpler solution, and couldn't find any drawbacks with it. This is the code and the rendered documentation for it:...

I'd like to know how the conversion from θ to α is done. It seems to me this conversion is also prone to some inaccuracies, but then this probably doesn't matter as it should always yield a valid point on the sphere. However, this point may end up backfacing the original shading point, which is som...

Hi all, The usual method for sampling a sphere from a point outside the sphere is to calculate the angle of the cone of the visible portion and uniformly sample within that cone, as described in Shirley/Wang . However, one detail that is glossed over is that you still need to map from the sampled di...