GPU-Accelerated Rendering of Unbounded Nonlinear Iterated Function System Fixed Points

Algorithm 1

texture    A=init_attractor_estimate();

texture   D;    //   destination   texture

do   {   //   iterative   attractor   refinement

 set_framebuffer(D);    //   render   to   D

 clear_framebuffer();

 for    (int   i=…)   {   //   loop   over   IFS   maps

  mesh   m=new   mesh(v,v);    //   v×v   vertices

  for    (int j=…)   {   //   loop over vertices

   vec2   texcoord=V_j;    //   fixed source

   vec2   geometry=w_i(V_j);    //   destination

   m.add_vertex(texcoord,geometry);

  }

  //   texture   the   map’s   geometry   using   A

  draw_textured_mesh(A,m);

 }

 A=D;    //   copy   out   our   new   estimate

}   until    (…   attractor converged   …);