On Dec 10, 2007 8:51 AM, Michael Droettboom <[EMAIL PROTECTED]> wrote:

> I have 8-spline approximation working on the trunk and on the transforms
> branch. (r4679)

Thanks Michael, I was working on this myself but it is hard for me to
keep up with you :-)

In reading the paper Charlie sent and links therein
(http://www.tinaja.com/glib/ellipse4.pdf and
http://itc.ktu.lt/itc354/Riskus354.pdf), one comment was that the
usual magic number

offset = 4.0 * (npy.sqrt(2) - 1) / 3.0

is not ideal.  When I tested the JPLs test script with one of the
suggested magic numbers which minimize the SS errors with 4 points on
the ellipse, the error was smaller than what we were getting with the
one above (I used k=0.55191496 from the Rivus paper).  I see you are
using a different formula for the magic number in the trunk.  Do you
think we could see additional accuracy with a different magic number
as discussed in these papers?

JDH

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