CODEWITHSUNDEEP
pointcurve
B.A
B.A

Reputation: 21

Bezier Curve Length

How can I calculated the length of a bezier curve programmatically? given 4 points; the ends of the curve and the two control points. Can someone help me with the algorithm please?

Upvotes: 2

Views: 2049

Answers (2)

Good Luck
Good Luck

Reputation: 1102

Bézier curve is sum(pi bi,k(u)). You can sample the curve by increment ing the u with very small numbers and calculate the distance between two consecutive points on the curve and add them up. This is the calculation of poly line length that matti also mentioned.

Upvotes: 0

Matti Virkkunen
Matti Virkkunen

Reputation: 65126

If you know your calculus, you could take the parametric form of the bezier curve off Wikipedia or something and use this:

http://tutorial.math.lamar.edu/Classes/CalcII/ParaArcLength.aspx

to calculate its length. I assume that you tried to google for this before asking, and found out that nobody had posted the solution already.

If you're not into calculus, you can get a reasonable approximation by approximating the curve with a polyline, whose length is easy to calculate.

Upvotes: 2

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