|========================================================================|
| waves-of-chaos v1.2 (2005-12-29)  GIMP plug-in rendering chaotic waves |
| Copyright (C) 2004 Yeti (David Necas) <yeti@physics.muni.cz>           |
|========================================================================|

Waves of Chaos renders a snapshot of `solution' of two coupled nonlinear
partial differential equations in a chaotic mode (using an integration method
probably outside its region of stability ... who cares).

From Gimp prespective it's an expensive method to generate unorganized
wavy tileable patterns.


Installation
------------

Requirements: Gimp 2.2.

Untar the tar file (well I guess you've got that far already), then in the
directory thus created type

      make install

to install the plug-in to the system-wide plug-in directory, or

      make install-user

to install it to your user plug-in directory.  You can uninstall it later by
`make uninstall' or `make uninstall-user', respectively. When something goes
wrong, try modify the Makefile or, if you are really desperate, the source.


Usage
-----

This plug-in installs itself in the Filters/Render menu as `Waves of Chaos'.

Parameter description:

* Feature size

  Characteristic dimension of the waves in pixels.

* Channel values

  Value 1, Value 2 are values of the first and second dependent variable of
  the differential equations at given pixel.  For simplicity, we shall refer
  to them as to concentrations.

  Time derivation 1, Time derivation 2 are time derivations of first and
  second concentration.

  Diffusion speed 1, Diffusion speed 2 are absolute values of concentration
  gradients.

  Diffusion-X 1, Diffusion-X 2, Diffusion-Y 1, Diffusion-Y 2 are X and Y
  components of concentration gradients.

  Constant 0, Constant 1/2, and Constant 1 are constant values 0, 0.5 and 1.

For reference, the differential equations for v (first concentration) and
w (second concentration) are:

    ∂v                r v
    --  +  μ  Δv  =  ------  + q w
    ∂t      v        1 + v²

    ∂w                p v
    --  +  μ  Δw  =  ------
    ∂t      w        1 + w²

where the constants p, q, r, μ_v, μ_w can be found in source code.


Authors
-------

Yeti (David Necas).

Report bugs to <yeti@physics.muni.cz> (please include `waves-of-chaos' in
subject).

Web: http://trific.ath.cx/software/gimp-plugins/waves-of-chaos/


Copying
-------

Waves of Chaos can be copied and/or modified under the terms of GNU General
Public License.  Please see COPYING for details.
