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	<title>
	Comments on: Casey&#8217;s Witness Wednesday on Interpolation	</title>
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	<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/</link>
	<description>Explore an abandoned island.</description>
	<lastBuildDate>Fri, 30 May 2014 16:18:48 +0000</lastBuildDate>
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		<title>
		By: Martin Sedlak		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4677819</link>

		<dc:creator><![CDATA[Martin Sedlak]]></dc:creator>
		<pubDate>Fri, 30 May 2014 16:18:48 +0000</pubDate>
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					<description><![CDATA[Very nice!
Casey also showed relation to combinatorics (binomial coefficients) while computing cubic Bezier.
Note that (a+b)^3 is a^3 + 3*a^2*b + 3*a*b^2 + b^3, now replace a with (1-t) and b with t, looks familiar?]]></description>
			<content:encoded><![CDATA[<p>Very nice!<br />
Casey also showed relation to combinatorics (binomial coefficients) while computing cubic Bezier.<br />
Note that (a+b)^3 is a^3 + 3*a^2*b + 3*a*b^2 + b^3, now replace a with (1-t) and b with t, looks familiar?</p>
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		<title>
		By: iPadCary		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4645912</link>

		<dc:creator><![CDATA[iPadCary]]></dc:creator>
		<pubDate>Wed, 28 May 2014 19:47:02 +0000</pubDate>
		<guid isPermaLink="false">https://the-witness.net/news/?p=2518#comment-4645912</guid>

					<description><![CDATA[In reply to &lt;a href=&quot;https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4641856&quot;&gt;INTPnerd&lt;/a&gt;.

Thank you.  Must&#039;ve missed that in the ABOUT section.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4641856">INTPnerd</a>.</p>
<p>Thank you.  Must&#8217;ve missed that in the ABOUT section.</p>
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		<title>
		By: INTPnerd		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4641856</link>

		<dc:creator><![CDATA[INTPnerd]]></dc:creator>
		<pubDate>Wed, 28 May 2014 15:03:39 +0000</pubDate>
		<guid isPermaLink="false">https://the-witness.net/news/?p=2518#comment-4641856</guid>

					<description><![CDATA[According to the about section The Witness will be released mid-2014. Technically, this means it will be released June 1, this coming Sunday ;)]]></description>
			<content:encoded><![CDATA[<p>According to the about section The Witness will be released mid-2014. Technically, this means it will be released June 1, this coming Sunday ;)</p>
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		<item>
		<title>
		By: iPadCary		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4611704</link>

		<dc:creator><![CDATA[iPadCary]]></dc:creator>
		<pubDate>Mon, 26 May 2014 23:25:24 +0000</pubDate>
		<guid isPermaLink="false">https://the-witness.net/news/?p=2518#comment-4611704</guid>

					<description><![CDATA[Are we looking at a release date substantially BEFORE Christmas or around Christmas time?
Thank you!]]></description>
			<content:encoded><![CDATA[<p>Are we looking at a release date substantially BEFORE Christmas or around Christmas time?<br />
Thank you!</p>
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		<title>
		By: Doumecq Diego		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4592326</link>

		<dc:creator><![CDATA[Doumecq Diego]]></dc:creator>
		<pubDate>Sun, 25 May 2014 18:48:31 +0000</pubDate>
		<guid isPermaLink="false">https://the-witness.net/news/?p=2518#comment-4592326</guid>

					<description><![CDATA[To have all those nice properties I&#039;m assuming that every single W needs to be between 0 and 1 and that something like W0 = 5, W1 = 6 and W2 = -10 doesn&#039;t play as nice.

Having understood all of that I&#039;m at a loss as to how a three point system with 3 Ws would work for interpolation. We are interpolating /what/ exactly? I don&#039;t see how this would work mathematically with 3 points ... do we need to redo the tree structure so that instead of starting with 4 points we start with 6? I&#039;m guessing that that&#039;s not the right approach but nothing else comes to mind and I&#039;m probably overcomplicating this stuff :P]]></description>
			<content:encoded><![CDATA[<p>To have all those nice properties I&#8217;m assuming that every single W needs to be between 0 and 1 and that something like W0 = 5, W1 = 6 and W2 = -10 doesn&#8217;t play as nice.</p>
<p>Having understood all of that I&#8217;m at a loss as to how a three point system with 3 Ws would work for interpolation. We are interpolating /what/ exactly? I don&#8217;t see how this would work mathematically with 3 points &#8230; do we need to redo the tree structure so that instead of starting with 4 points we start with 6? I&#8217;m guessing that that&#8217;s not the right approach but nothing else comes to mind and I&#8217;m probably overcomplicating this stuff :P</p>
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		<title>
		By: Casey Muratori		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4584881</link>

		<dc:creator><![CDATA[Casey Muratori]]></dc:creator>
		<pubDate>Sun, 25 May 2014 01:03:06 +0000</pubDate>
		<guid isPermaLink="false">https://the-witness.net/news/?p=2518#comment-4584881</guid>

					<description><![CDATA[In reply to &lt;a href=&quot;https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4571778&quot;&gt;Josh Sorengaard&lt;/a&gt;.

Thanks Josh!  Glad to hear you are enjoying the series.

- Casey]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4571778">Josh Sorengaard</a>.</p>
<p>Thanks Josh!  Glad to hear you are enjoying the series.</p>
<p>&#8211; Casey</p>
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		<title>
		By: Josh Sorengaard		</title>
		<link>https://the-witness.net/news/2014/05/caseys-witness-wednesday-on-interpolation/comment-page-1/#comment-4571778</link>

		<dc:creator><![CDATA[Josh Sorengaard]]></dc:creator>
		<pubDate>Fri, 23 May 2014 21:14:20 +0000</pubDate>
		<guid isPermaLink="false">https://the-witness.net/news/?p=2518#comment-4571778</guid>

					<description><![CDATA[Since I caught up with his postings, I&#039;ve found myself looking forward each Wednesday to the next instalment of Casey&#039;s Witness adventures. While I have no real programming/mathematics background, it&#039;s a testament to Casey&#039;s writing skills that each one still engages and stimulates -- on top of the simpler pleasures of watching a job done meticulously well. So consider this a hearty thank you to Casey for taking the time to produce these, and to the team as a whole&#039;s spirit of sharing these little insights.]]></description>
			<content:encoded><![CDATA[<p>Since I caught up with his postings, I&#8217;ve found myself looking forward each Wednesday to the next instalment of Casey&#8217;s Witness adventures. While I have no real programming/mathematics background, it&#8217;s a testament to Casey&#8217;s writing skills that each one still engages and stimulates &#8212; on top of the simpler pleasures of watching a job done meticulously well. So consider this a hearty thank you to Casey for taking the time to produce these, and to the team as a whole&#8217;s spirit of sharing these little insights.</p>
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