1

I have a hyperbola defined with an equation y = A/x.

How to build approximation of this hyperbola in a given rectangular area 0 < x <= x1, 0 < y <= y1 using cubic or quadratic Bézier curves, so that the difference between approximation and hyperbola would not exceed some delta?

I need to write a program that has A, x1, y1, delta as the input, and it should output SVG path to draw the given hyperbola.

Eugene Mala
  • 111
  • There's really no such thing as "the closest" approximation. If you allow the number of control points to go to infinity, the Bézier curve approximation will eventually converge to the hyperbola. – jMdA Mar 12 '21 at 01:56
  • By "the closest" approximation I mean to use the minimum number of control points so that difference between approximation and hyperbola would not exceed some delta. (0.01 mm for example) – Eugene Mala Mar 12 '21 at 02:08

0 Answers0