7 ms·
Not at all. There are plenty of circumstances in all kinds of numerics where one would want points on the sphere in high dimensions. It's not just a geometric
by cultus 8y ago
Not at all. There are plenty of circumstances in all kinds of numerics where one would want points on the sphere in high dimensions.
It's not just a geometric object that has limited practical value for d>3. It is the set of points where the norm is unity, which is a pretty fundamental concept in all sorts of places.
- Retric 8y agoNot as part of a graphic's library. You might want to do 4d or 5d. But past that is very unlikely. In terms of actually solving to proble you just want a vector random distance and a function that to map random distance to actual distance. But if you never deal in 6+ dimensions that's a waste of time.
- cultus 8y agoWell, not in graphics libraries obviously, but it comes up quite a bit in other areas. Vectors with a norm of unity are just a fundamentally important set.
- tantalor 8y agoWho said anything about graphics?
- Retric 8y ago> While working through Peter Shirley’s Ray Tracing in One Weekend (http://in1weekend.blogspot.com/2016/01/ray-tracing-in-one-weekend.html http://in1weekend.blogspot.com/2016/01/ray-tracing-in-one-we...) Which is where that method was used.