miyanokomiya

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<p>Core ideas of the interpolation</p>
<ul>
<li>The final curve fits each consecutive point
<ul>
<li><code>eq.2</code></li>
</ul>
</li>
<li>The final curve is smooth around each consecutive point
<ul>
<li>
<code>eq.3</code>, <code>eq.4</code>
</li>
</ul>
</li>
<li>Impose arbitrary boundary conditions to solve <code>2n</code> variables by <code>2(n-1)</code> equations
<ul>
<li>
<code>eq.5</code>, <code>eq.6</code>
</li>
</ul>
</li>
</ul>


<h2 id="caveat%3F">
<a class="header-anchor-link" href="#caveat%3F" aria-hidden="true"></a> Caveat?</h2>
<p>I'm not sure but the derived curve looks affected by source line's absolute location.</p>
<ul>
<li>
<p>From the origin<br>
<img src="https://storage.googleapis.com/zenn-user-upload/347d9686244c-20231118.png" loading="lazy" class="md-img"></p>
</li>
<li>
<p>A bit from the origin<br>
<img src="https://storage.googleapis.com/zenn-user-upload/5e4e144ac5b0-20231118.png" loading="lazy" class="md-img"></p>
</li>
</ul>
<p>It might be just because my code is wrong somehow.</p>


<p>Normalize source line is the easy workaround though, the reason behind this behavior feels intersting.<br>
Perhaps, <code>eq.5</code> and <code>eq.6</code> need adjustment along with the line's absolute location.</p>


<p>Above issue was completely my mistake. It's resolved.</p>
