mage to be a function <span class="arithmatex">\(F(x):\mathbb{R}^2\ra\mathbb{R}^1\)</span> over the two-dimensional spatial domain (paper coordinates). Then <span class="arithmatex">\(F(c+x_0+\bb{A}(x-x_0))\)</span> represents an affine transformation of the image <span class="arithmatex">\(F\)</span>, where <span class="arithmatex">\(\bb{A}\)</span> is a <span class="arithmatex">\(2\times 2\)</span> matrix.</p>
<p>(a) Decompose <span class="arithmatex">\(\bb{A}\)</span> (via Q-R) in such a way that paramet