Deformation using maps

Given a map like the Standard map

Tc[x,y] = [2x+c sin(x)-y,x] 

we can deform a picture. In the movie below, we see a deformation from c=0 to c=1 if

         Tc[x,y] = [ x+c sin(2 Pi x y), y+cos(2 Pi (x-y)) ] 

(Unlike the Standard map, this example does not rip the picture apart too badly at first, only rips the eye off at first). If we fix the parameter c and map a point again and again, we see an orbit.

Try the Standard map


Direct Media Links: Webm, Ogg Ipod ; Here is the C program (written in 2000), which does the deformation. In the current implementation, we have the Standard map:

ppmmorph.tgz (All files Tared and GZiped) ppmmorph.c (The C program) ppmmorph.1.gz (The man page) Makefile (The Makefile) README (The Readme file) COPYING (The Licence)