Transparent PNG overlay

Version 1.09 of PGF/TikZ introduced the special current page node, that can be used for absolute positioning of elements on the current page. In this example I've overlayed the page with a transparent PNG image to achieve an interesting effect.

The example requires PDFTeX >= 1.30.0, and the document has to be compiled twice. Download the image used as overlay here: rblend.png

Edit and compile if you like:

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\documentclass[a5paper]{article}
% Requires PGF >=  1.09
% Note:
%   This example works only with pdftex >= 1.30.0
%   You have to run pdftex on the example twice!
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\thispagestyle{empty}
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Donec luctus 
mollis nisl. Nullam tempor, diam non tincidunt tincidunt, nunc tortor 
elementum odio, nec iaculis urna leo a eros. Lorem ipsum dolor sit amet,
consectetuer adipiscing elit. Sed elit elit, pellentesque et, 
sollicitudin a, imperdiet eget, tellus. Vestibulum et sapien. Maecenas 
libero. Vivamus vel metus in ipsum ultricies commodo. Donec quam. Fusce 
arcu. In est felis, sagittis vitae, vehicula ut, tristique vitae, eros. 
Mauris ut lorem vel risus posuere elementum. Quisque volutpat ornare lorem. 
Integer porta.
\begin{multline}\label{eq:steeringfull}
    \begin{bmatrix}
        m-Y_{\dot{v}} & Y_{\dot{r}} & 0\\
        -N_{\dot{v}} & I_z-N_{\dot{r}} & 0\\
        0 & 0 & 1
    \end{bmatrix}
    \begin{bmatrix}
        \dot{v} \\ \dot{r}\\ \dot{\psi}
    \end{bmatrix}\\ +
    \begin{bmatrix}
        -Y_v & -Y_r+mu_0\\
        -N_v & -N_r & 0\\
        0 & -1 & 0
    \end{bmatrix}
    \begin{bmatrix}
        v \\ r \\ \psi
    \end{bmatrix} =
    \begin{bmatrix}
 
 
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