Linked Questions

2
votes
1answer
4k views

Cubic Bezier Curves - Calculate Y for any given X [duplicate]

Possible Duplicate: Is there an explicit form for cubic Bézier curves? I want to calculate Y for any given X of a bezier to help me chart a graph. X represents time and Y represents ...
1
vote
0answers
80 views

Equation for bezier curve [duplicate]

I have a cubic bezier curve ; whose 1st anchor-point is (a,b) 1st control-point is (c,d) , 2nd control point is (e,f) and 2nd anchor-point is ( g,h ); Now I want an equation in x and y format; so ...
17
votes
5answers
27k views

Arc Length of Bézier Curves

See also: answers with code on GameDev.SE How can I find out the arc length of a Bézier curve? For instance, the arc length of a linear Bézier curve is simply: $$s = \sqrt{(x_1 - x_0)^2 + (y_1 - y_0)...
3
votes
2answers
1k views

Understanding of cubic Bézier curves in one dimension

I am implementing cubic Bézier equation to my project for smooth animation. I'm being stuck at how to calculate progress at a time. I found an equation in this answer and it's really close to what I ...
1
vote
1answer
2k views

Find angle at point on bezier curve

I have two end points and two control points. I am using these points and this link. i have found a point on bezier curve. Now i would like to find angle at this point on bezier curve. Is there any ...
4
votes
2answers
2k views

bézier to f(x) polynomial function

I've got a 2D quadratic Bézier curve which, by construction, is a f(x) function : no loops, a single solution for each defined x. Is there a common mean to convert this curve to a 3rd degree ...
1
vote
1answer
2k views

Convert Bézier curve to equation

How to convert for example this Bézier curve: cubic-bezier(.65,0,.65,1) (plot) to an equation like f(x) = x... ?
1
vote
2answers
537 views

Finding $y$ coordinate given $x$ coordinate of cubic bezier curve under restrictions over control points

Given a cubic bezier curve, $P(t) = P_0(1-t)^3 + 3P_1t(1-t)^2 + 3P_2 t^2(1-t) + P_3 t^3$ where $P(t) = (x(t), y(t))$ and $P_i = (x_i, y_i)$. $P_0$ and $P_3$ are end points and $P_1$ and $P_2$ are ...
4
votes
2answers
579 views

Get $t$ of ascending Bézier curve from $x$

I have an ascending cubic Bézier curve. ($x_0 \leq x_1 \leq x_2 \leq x_3$) Considering this property, there is always one and only one $y$ value per $x$ value. The point ($x, y$) along the curve is ...
0
votes
1answer
148 views

How do I find a value (Y) given time (X) passing through a bezier-curve?

>> Visual picture of my problem << In the attached picture I have this bezier-curve (or easing curve), represented by 4 coordinates: P0 (0, 0) P1 (0.7, 0) P2 (0.3, 1) P3 (1, 1) ...