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	<title>Alex McLean &#187; voronoi</title>
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	<description>Making music with text</description>
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		<title>SoundVis</title>
		<link>http://yaxu.org/soundvis/</link>
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		<pubDate>Sat, 05 May 2007 12:38:09 +0000</pubDate>
		<dc:creator>Alex</dc:creator>
				<category><![CDATA[music]]></category>
		<category><![CDATA[visualisation]]></category>
		<category><![CDATA[voronoi]]></category>

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		<description><![CDATA[Frederic Leymarie and I have created a blog called SoundVis to document our research into the visualisation of sound and music. We&#8217;ll be adding our findings to it as time allows&#8230;]]></description>
			<content:encoded><![CDATA[<p><a href="/~ffl/">Frederic Leymarie</a> and I have created a blog called <a href="/soundvis/">SoundVis</a> to document our research into the visualisation of sound and music.  We&#8217;ll be adding our findings to it as time allows&#8230;</p>
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		<title>Voronoi diagrams of music</title>
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		<comments>http://yaxu.org/voronoi/#comments</comments>
		<pubDate>Wed, 15 Feb 2006 11:47:24 +0000</pubDate>
		<dc:creator>Alex</dc:creator>
				<category><![CDATA[music]]></category>
		<category><![CDATA[visualisation]]></category>
		<category><![CDATA[voronoi]]></category>

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		<description><![CDATA[Voronoi diagrams describe half-way points between neighbours. Some recommended general introductory links: Voronoi diagram on wikipedia Centroidal voronoi diagrams A very nice interactive applet The standard text is the excellent Spatial tessellations: Concepts and Applications of Voronoi Diagrams by Atsuyuki Okabe, Barry Boots, Kokichi Sugihara and Sung Nok Chiu. Voronoi diagrams have many uses throughout [...]]]></description>
			<content:encoded><![CDATA[<p>Voronoi diagrams describe half-way points between neighbours. Some recommended general introductory links:</p>
<ul>
<li><a href="http://en.wikipedia.org/wiki/Voronoi_diagram">Voronoi diagram on wikipedia</a></li>
<li><a href="http://mrl.nyu.edu/~ajsecord/npar2002/html/stipples-node2.html">Centroidal voronoi diagrams</a></li>
<li><a href="http://www.diku.dk/hjemmesider/studerende/duff/Fortune/">A very nice interactive applet</a></li>
</ul>
<p>The standard text is the excellent <a href="http://ua.t.u-tokyo.ac.jp/okabelab/Voronoi/">Spatial tessellations: Concepts and Applications of Voronoi Diagrams</a> by Atsuyuki Okabe, Barry Boots, Kokichi Sugihara and Sung Nok Chiu.</p>
<p>Voronoi diagrams have many uses throughout the sciences but have seemingly not been applied much to music.  I&#8217;ve only found two papers so far;</p>
<ul>
<li>Masatoshi Hamanaka and Keiji Hirata, <a href="http://staff.aist.go.jp/m.hamanaka/pdf/fit2002.pdf">Applying Voronoi Diagrams in the Automatic Grouping of Polyphony</a>, 2002</li>
<li>Ross Bencina, <a href="http://hct.ece.ubc.ca/nime/2005/proc/nime2005_101.pdf">The Metasurface &#8211; Applying Natural Neighbour Interpolation to Two-to-Many Mapping</a>, 2005</li>
</ul>
<p>My own contribution is the essay <a href="http://doc.gold.ac.uk/~ma503am/essays/voronoi/voronoi-diagrams-of-music.pdf">Voronoi Diagrams of Music</a>, 2006.  It has an <a href="http://doc.gold.ac.uk/~ma503am/essays/voronoi/appendices.html">On-line appendix</a>.</p>
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