[PD] [PD-announce] one over zed (a conformal function on the complex plane)
Mathieu Bouchard
matju at artengine.ca
Mon May 10 19:14:53 CEST 2010
On Mon, 10 May 2010, Martin Peach wrote:
> It's easier to see what's going on using the colourbar from hello-world.pd.
But hello-world.pd is unrelated to moving pixels around like
[#remap_image] does. [#remap_image] is like a giant [tabread] from outer
space whereas hello-world.pd (or [#hello]) is not.
> The [# + (120 160)] doesn't seem to have any effect, while the [# - (120
> 160)] changes the position of the image.
the [# +] (that goes into [#remap_image]) changes the position in the
source image, which leads to a more interesting transformation, in which
the borders of the tiles (which are circles) change radius.
the [# -] (that [#remap_image] goes into) only changes the position of the
image.
basically, it's the same operation, but depending on whether you apply it
before or after the inversion, it has a different effect on it. It's like
when you plot (1/z)+c versus 1/(z+c).
In this case (using [# put (30000 0)]), it's (1/(z-c))+c, which is sort of
a special case because 1/z is sandwiched between a -c step and a +c step,
which are exact opposites of each other, and thus you can see it as the
1/z is happening relative to a point other than (0 0). It's just that you
choose the position of your simple pôle.
It's like when you do a [# -] [#rotate] [# +] sequence, you are rotating
the coordinates around a different point than (0 0).
This concept of applying A then B then "undoing" the A, is very useful and
I often put things between [# *] [# /] pairs, [# <<] [# >>] pairs, [# c2p]
[# p2c] pairs, with same arguments.
_ _ __ ___ _____ ________ _____________ _____________________ ...
| Mathieu Bouchard, Montréal, Québec. téléphone: +1.514.383.3801
More information about the Pd-list
mailing list