Steps to transforming an unusual closed curve into a circle

[pdfaze]

Wondering how to transform an irregular closed curve to a circle using the command line. one easy way would be to draw a square, reduce the points to six, and fit to the square, but I’m wondering if there’s a more automatic way without any drawing where you could batch process a bunch of irregular closed curves this way.

[pdfaze]

Circular bounding Box

I came across an old tweet of mine today that lead to an article about centering the play button icon: It got me thinking that while I use the bounding box dozens of times a day, it seems like a circular bounding box would be exceptionally helpful as well. Especially in two use cases: For determining the rotational maximums of movements about a center point. For understanding where non-area specific centroidal points live within a circular space. Would be curious to hear if this is of inte…

This would also get me there, though transforming the curve seems to offer more possibilities

[Helvetosaur]

You can use a regular rectangular bounding box and get the center of that, then draw the circle with a diameter equal to the average of the horizontal and vertical sides.

If you want to be more sophisticated and keep the enclosed area exactly the same, get the irregular curve’s centroid and area, then calculate the circle radius from the area, then make the circle at the centroid point.

[pdfaze]

Thanks Mitch!

[davidcockey]

Another approach would to obtain points on the input curve, then use the Circle command with FitPoints option.