On Sat, Jun 14, 2014 at 11:12 AM, Jody Garnett <[email protected]>
wrote:
>
> When you mention control points I think beizer curves, which have no place
>> is this proposal, we'll only support arcs of circle (which is also written
>> in the proposal,
>>
>
> Control points for an arc or circle are always "three": start point, end
> point and any point on the middle. Circle just has the start and end at the
> same location. If you call the method control points from the start we can
> grow the solution for other curves as funding is made available.
>
Would be nice, but I don't have resources to work on a more general
algorithm.
For arcs of circles it's pretty simple, you decide on a sampling rate,
which is directly related to the max distance from the sample lines
to the circle, and then you just use basic trigonometry to compute the
sample points.
To sample general curves instead one has to take into account the point by
point varying curvature, which demands more complex sampling methods
(there are several research papers on the subject).
Cheers
Andrea
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