And finally, FresnelCurves script.
Also does a sine and cosine, for curvature = 1.

Feels like "The Outer Limits" ... ! :)

- Michael

He's in my head!

Some Sinusoïds array + Lineweb will make some cool montains landscapes ;)

Hi Michael,

thanx for the clarification. Too bad. Spiros are really very powerful and I have not yet found a 3D implementation in any sofware although his original paper has some thoughts about generalizing the concept to 3 dimensions, too.

Would it be possible to develop this as an open source plugin for MOI with the GPL license then?

Best Manuel

You speak about this?
http://verysimpledesigns.com/vectors/inkscape-tutorial-spiro-swirls.html
by We Design

++ on the mountains.

Here is a link to paper "Euler Spiral for Shape Completion" dated 2001. Uses "biarcs" also.
http://www.lems.brown.edu/vision/publications/Kimia's_Publication/Journals/Euler_spiral-IJCV.pdf

Another paper "3D Euler Spirals for 3D curve Completion," 2010:
http://webee.technion.ac.il/~ayellet/Ps/10-HT.pdf

"Outer Limits" and ocsilliscope theater from Ernie Kovacs!

Michael T.

yes exactly. I'm using these spiros on a regular basis inside inkscape and cannot live without them anymore. I don't use them for swirls though but in my workflow they pretty much replaced the bezier curves altogether.

cheers mnu

Hi Manuel,

> Would it be possible to develop this as an open source plugin
> for MOI with the GPL license then?

That could be possible if someone else wanted to do that. But I myself try to be careful to avoid GPL-dependent code.

- Michael

Ok, that's what I meant. Someone else of course ;-) Thanx for the info Michael

Attached is a slider version of the generalized Euler spiral.
The original was only downloaded 21 times, so not very popular.
This script does nothing more than the original, but does it with a slider option.
See slider post for invaluable slider information.
:-))

Thanks Bem,
Now if you can incorporate a "vertical step" like found in the radial array tool, then you might see a large amount of downloads!!! :o

Will be fine for that ;)

hello all

even more mathematical possibilities would be great :)

http://www.evolution-of-genius.de/3d/moi-selbstdurchdringung_2012_01.jpg
http://www.evolution-of-genius.de/3d/torus-selbstdurchdringung_2012_03.jpg

FourierCurve
http://www.mathematik.uni-tuebingen.de/ab/diffgeo/projects/fouriercurve/index.html

ciao
torolf

Did a bit of modification to the script last December.
This is an unofficial script, of the parametric kind, which is useable in MoI, by shortcut key.

a_Scale changes the Scale of the Spiral.

The d_Factor is for daughter curves, and is not independent of a_Scale and t_Length. Different combinations can create the same curve.
Perhaps not so useful, but it can have a negative value.

For a 2D curve, set the z_Factor to 0.
For a 3D curve, set the z_Factor to a nonzero value, which can also be negative.
A z_Factor of 1 causes the curve to rise in the vertical z direction by 1 unit per 90 degrees, (I think).

Negating a_Factor, d_Factor, and/or x_Factor, flips or mirrors the curve.

Disabled the slider Accel.C, acceleration of curvature. It did not seem to be of much benefit...
For an Euler spiral, the value is 2.0.

Checked that the script does work in MoI2.

Length adjusts the arc length, in 2D. In 3D I think the arc length is longer, but the projection is the same length.

Made a quick scroll, with Blend for the ends. Blend seems to be a very powerful tool.

Here is a slider update on the Euler spiral.
Much of the code is moved to .htm for speedup.

I was thinking about adding angle slider?

- Brian