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I did implement a ray tracer based on Amantides' work but, as that was years ago, my memory of the paper is a little rusty. However, ignoring this particular case, in general when it comes to workin …

I'm not sure what exactly you are asking but, IIRC, to do CSG with ray tracing, you maintain not just the closest intersection with an object, but a list of ordered pairs of [Inpoint, OutPoint] 'inter …

Just treat it as a special case of a point light + shadow ray. Whenever a ray hits the screen (or any surface onto which you'd like to project the slide), fire another "projector" ray back towards the …

I think any answer to this needs to start with the following immortal quote Floating point numbers are like piles of sand; every time you move them around, you lose a little sand and pick up a little …

Another option, which I used a couple of decades ago (yikes!), is to use Toth's scheme from 1985 that employed interval arithmetic to narrow down the search space. IIRC, eventually it will resort to …

Disclaimer: It's been a long time since I looked at this sort of thing but here goes... Disclaimer2: On re-reading your question(s) I realised I might have misunderstood what you were asking. I'll lea …

Disclosure: I work for IMG/PowerVR Indeed there are rendering systems that can do this: Imagination demonstrated hybrid rendering on their "Wizard" Ray Tracing/Rasterisation system. Scroll down to "M …

I don't think you'll get terribly far with, AFAICS, a single linear approximation to a rather non-linear interpolation, but perhaps this paper / presentation by Gribel et al on motion blur in rasteris …

Many years ago I worked on a ray tracer that handled parametric surfaces, so this is unlikely to be state of the art, but, IIRC, I used a combination of interval arithmetic with (binary?) subdivision …

Disclaimer: I've only skimmed through the code. To be honest, the best thing to do would be to use a profiler on your code to identify what actually is costing CPU cycles. Having said that, some op …

IIRC this and some other texture mapping/projection techniques are discussed in Watt & Watt's Advanced Animation and Rendering Techniques Skip forward to around page 180. FWIW that has a reference to …

Just to add to the answers above: Distributed Ray Tracing (Cook, Porter, & Carpenter). Allows you to simultaneously do spatial AA, temporal AA (i.e. motion blur), and focus/depth of field. Best to …