NinjaKoala

3 ms·

1. 1.▲
   by NinjaKoala 2y ago

   Numerical solutions are usually much more accurate, yes. However, especially when computing with fragment shaders for example, closed form formulas tend to be faster. But the main reason for looking into it was because i had fun doing it.
2. 2.▲
   by NinjaKoala 2y ago

   Yes, the procedure you mention works, but it's a numerical method. I'm not saying such numerical method's are impractical or something, but depending on your general setup, closed form formulas might be faster.
3. 3.▲
   by NinjaKoala 2y ago

   Yes, you're right. I didn't find a proof for the fact that elliptic integrals have no closed form, though.
4. 4.▲
   Closed form arc length parametrization is impossible for quadratic Bézier curves(ninjakoa.la)

   114 points by NinjaKoala 2y ago|47 comments
5. 5.▲
   by NinjaKoala 3y ago

   There was actually a 4k intro released this year which uses changing seeds: https://www.pouet.net/prod.php?which=94081