On Apr 21, 2008, at 5:35 PM, Graham Cox wrote:
- (NSPoint) pointOnPathAtLength:(float) length slope:(float*) slope;
I notice that your lengthOfBezier() function does an approximation similar to what we'd get in postscript by executing flattenpath and then adding up the lengths of the resulting line segments.
I've asked several math majors over the years if they could give me an exact function for the length of a bezier curve. They've generally told me it was possible, but none of them actually produced it.
If there are any mathematicians on this list who can solve for the length of a bezier cubic spline, please enlighten me!
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