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POFinding a point on a Bézier curve when given the distance from the start point?
 

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  1. POFinding a point on a Bézier curve when given the distance from the start point?
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    <p>I created a 4 point Bézier curve, and a distance. Starting at the start point, how do I find the x,y coordinates of a point which is that distance away from the start point? </p> <p>I've looked at the other examples, and from what I can tell, they approximate the values by dividing the curve into several thousand points, then finding the nearest point. This will not work for me. For what I'm doing, I'd like to be accurate to only two decimal places. Below is a simple form of what I have to create my Bézier curve. (The y values are arbitrary, the x values are always 352 pixels apart). If it matters, I'm working in Java.</p> <pre><code>path.moveTo(0, 400); path.curveTo(352, 480, 704, 590, 1056, 550); </code></pre> <p>So assuming my start point is 0,400, how do I find the coordinates of a point that is 35 distance form that start point(along the curve)? (Ideally something not processor intensive. This <em>may</em> end up having to run 200 times per second)</p>
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