http://programmer.ie/tags/morphogenesis/ Recent content in Morphogenesis on Programmer.ie: Modern AI programming Hugo en-us Mon, 10 Aug 2026 20:35:00 +0100 http://programmer.ie/post/cellular-automata-from-first-principles-39/ Mon, 10 Aug 2026 20:35:00 +0100 http://programmer.ie/post/cellular-automata-from-first-principles-39/ <h1 id="cellular-automata-from-first-principles-39-grow-a-target-from-one-seed">Cellular Automata From First Principles 39: Grow a Target From One Seed</h1> <p>Now we can pose the central morphogenesis problem:</p> <blockquote> <p>Start from one cell and learn local rules that construct a target pattern.</p></blockquote> <h2 id="prepare-a-target">Prepare a target</h2> <p>Assume an RGBA image has been loaded into a tensor:</p> <div class="highlight"><pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;"><code class="language-python" data-lang="python"><span style="display:flex;"><span><span style="color:#75715e"># shape: [1, 4, H, W], values in [0, 1]</span> </span></span><span style="display:flex;"><span>target <span style="color:#f92672">=</span> load_target(<span style="color:#e6db74">&#34;target.png&#34;</span>)<span style="color:#f92672">.</span>to(DEVICE) </span></span></code></pre></div><p>The NCA state contains more channels than the image, so only the visible channels are compared:</p>