Mobius Video

[Rudy Toody]

Here.

 

[Markbnj]

Extremely cool. Thanks for posting that.

 

[BrownTown]

Look like some pretty standard image manipulations. The translation, rotation, and resizing are all trivial operations and the warping operation is a simple remapping. The only confusing thing in my mind is exactly what "Mobius" has to do with this. I assume its the name of the function for the warping operation?

 

[blackllotus]

Originally posted by: BrownTown
Look like some pretty standard image manipulations. The translation, rotation, and resizing are all trivial operations and the warping operation is a simple remapping. The only confusing thing in my mind is exactly what "Mobius" has to do with this. I assume its the name of the function for the warping operation?

I cheated and used the wikipedia article. According to them:

In geometry, a Möbius transformation is a function:

f(z) = (az + b)/(cz + d)

where z, a, b, c, d are complex numbers satisfying ad - bc ? 0.

EDIT:

Möbius transformations are named in honor of August Ferdinand Möbius, although they are also called homographic transformations or fractional linear transformations.

 

[lyssword]

cool, it was spotlighted few days after you posted this 🙂 But yea, really interesting, is sphere the basic block for doing those transformations, or will there be something different with lets say a cube?

 

[Gannon]

This looks very similar to thinking I do in my head with shapes and images when thinking about stuff. That is really awesome though how he put it all together and animated it.

 

[Rudy Toody]

Here is the article in Science News.

 

[wwswimming]

as classic as the original Dancing Baby !

wonder what program they used to model it.

 

[BrownTown]

Oh that article is such cr@p, 99% of the people watching the video (including myself) don't actually know what the REAL usage for this is. They are using complex number and such, the real use is clearly not just some trivial image manipulation. A program to do what is in the video is trivial to write. Remapping coordinates based on some matrix transform is 2 loops and 1 line of code in MATLAB. In C++ it would take ~20 lines of code to do the manipulations then just include some code to read/write images and your set. If you think shining a light through a sphere is cool then go look at a real raytracer, you could model ANY object you wanted. Personally I think the perspective transform is just as cool and I actually know what it does which makes it seem even more interesting than this Moebius transform.