2
votes
2answers
621 views

Bezier curve not drawn correctly

I'm trying to draw a bezier curve using 3 points. If I use the quadratic form: I get this result: And I believe it's correct. Now since I need to draw it with a variable number of points, ...
6
votes
2answers
189 views

How do you calculate if a line is facing a curve?

Given the 2 points describing a line segment, and the 3 points describing a quadratic bezier curve, how do you calculate if the line is facing towards or away from the curve? The line has a fixed ...
14
votes
3answers
442 views

How do you calculate the nearest point on 2 curves?

Given the points of a line and a quadratic bezier curve, how do you calculate their nearest point? .... Similarly, given the points of 2 curves, how do you get the nearest point?
9
votes
2answers
300 views

How do you calculate if 2 lines are facing toward or away?

Given the 4 points describing 2 line segments, how do you calculate if line A is towards or away from line B? The 2 lines have a fixed length, and can be measured as distance from x1/y1 to x2/y2.
14
votes
2answers
2k views

Bezier curve arc length

How can I find the distance traveled by a Bezier curve? For example, the distance traveled by a Linear Bezier Curve is: distance = sqrt(pow(x[1] - x[0], 2) + pow(y[1] - y[0], 2)); But what about ...