Approximation of cubic Bezier curve with arc

Asked Jun 28 '19 at 13:12

Active Jun 28 '19 at 13:12

Viewed 518 times

As an input I have an SVG file where curves are defined under PATH element with:

Two line commands: Move To (M) and Line (L)
Curve command : Cubic Bezier curve (C)

I want to translate this into CAD system that can draw ARC and LINE elements.

Cubic Bezier curve is defined in following way:

C x1 y1, x2 y2, x y

Where:

x1 y1 is the first control point

x2 y2 is the second control point

x y is the end point

Start point is known.

The question is what would be the algorithm to translate cubic Bezier curve into an ARC? ARC can be drawn with specified centre/end/angle or start/end/through points.

asked Jun 28 '19 at 13:12

Byte

3

What kind of "arc" is an `ARC`? Is it circular or e.g. a smooth interpolated curve which passes through specified points? A general cubic curve cannot be approximated with a single circular arc. – meowgoesthedog Jun 28 '19 at 14:24
Yes its interpolated curve through specified points – Byte Jun 28 '19 at 14:47
maybe this one? https://pomax.github.io/bezierinfo/#arcapproximation – Mike 'Pomax' Kamermans Jun 28 '19 at 15:07
take a look at this: [Circular approximation of polygon (or its part)](https://stackoverflow.com/a/27251997/2521214) – Spektre Jun 29 '19 at 05:42
1

It would appear this user isn't actually interested in getting their problem solved. Abandoned questions are the opposite of what makes Stackoverflow so useful. – Mike 'Pomax' Kamermans Jul 06 '19 at 17:20

Approximation of cubic Bezier curve with arc

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