From: Arnim Sauerbier (arnim@gene.med.umn.edu)
Date: Mon May 10 1993 - 20:02:56 UTC
Rudy Rucker (rucker@sjsumcs.SJSU.EDU) wrote:
: arnim@htlv.med.umn.edu asks if there is might be a CA which would simulate
: To simplify the discussion a bit, one might think in terms of alteranting
: two CA rules, a transform rule and a Laplace rule. That is, do a flip
: or a rotation or something, then do a Laplacian smoothing. Quite
: generally, the transform rule would have the form NewVal(x,y) = OldVal(
: T(x,y)) for T a linear transformation like the ones used in Barnsley
: fractals.
I wish i'd read this before I posted my extremely stupid idea for simulating
the feedback. Your 'algorithm' makes considerable intuitive sense, although
I wonder whether NTSC's interlaced signal, and the seperation of chrominance
and luminance introduce non-linearities into the system that significantly
affect the forms that the colors take.
I think the algorithm would need to include...
-An Iterative process where the current state of a pixel is modified
by the previous state of itself and adjacent pixels in a location-
specific way (i.e. not* a CA algorithm).
-"blending" of adjacent pixels to simulate the bleeding that occurs
in the monitor
-Translation, scaling, and rotation of the feedback-pixels (one
could flip the image via 180deg. rotation)
A respondent to my post kindly sent me the following references.. for the
curious.
-----------------------
@ARTICLE (Crut84a,
TITLE = "Space-Time Dynamics in Video Feedback",
AUTHOR = "J. P. Crutchfield",
JOURNAL = "Physica",
VOLUME = "10D",
YEAR = 1984,
PAGES = 229,
KEY = "ThePaper")
@ARTICLE (Crut88c,
TITLE = "Spatio-Temporal Complexity in Nonlinear Image Processing",
AUTHOR = "J. P. Crutchfield",
JOURNAL = "IEEE Trans. Circ. Sys.",
YEAR = 1988,
PAGES = 770,
VOLUME = 37)
-Arnim Sauerbier (arnim@gene.med.umn.edu)
-----------------------------------------------------------------
define s(n){;auto e,r;for(0;n;n/=b)r+=n%b*(b+1)^s(e++);return(r)}
define f(n){;for(b=2;n;b++)n=s(n)-1;return(b)} for(n=0;1;n++)f(n)
f() is total -- R.L. Goodstein
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