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	<title>Real-Time Rendering &#187; fractals</title>
	<atom:link href="http://www.realtimerendering.com/blog/tag/fractals/feed/" rel="self" type="application/rss+xml" />
	<link>http://www.realtimerendering.com/blog</link>
	<description>Tracking the latest developments in interactive rendering techniques</description>
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		<title>Seven things for 10/10/11</title>
		<link>http://www.realtimerendering.com/blog/seven-things-for-101011/</link>
		<comments>http://www.realtimerendering.com/blog/seven-things-for-101011/#comments</comments>
		<pubDate>Tue, 11 Oct 2011 01:38:43 +0000</pubDate>
		<dc:creator>Eric</dc:creator>
				<category><![CDATA[Resources]]></category>
		<category><![CDATA[DOOM]]></category>
		<category><![CDATA[fractals]]></category>
		<category><![CDATA[iOS]]></category>
		<category><![CDATA[mobile]]></category>
		<category><![CDATA[OpenGL]]></category>
		<category><![CDATA[Shapeways]]></category>

		<guid isPermaLink="false">http://www.realtimerendering.com/blog/?p=2661</guid>
		<description><![CDATA[If you can get WebGL running properly on your browser, check out Shader Toy. Coolest thing is that you can edit any shader and immediately try it out. Another odd little WebGL application is a random spaceship maker, with a direct tie-in to Shapeways to buy a 3D version of any model you make. Speaking [...]]]></description>
			<content:encoded><![CDATA[<ul>
<li>If you can get WebGL running properly on your browser, check out <a href="http://www.iquilezles.org/apps/shadertoy/">Shader Toy</a>. Coolest thing is that you can edit any shader and immediately try it out.</li>
<li>Another odd little WebGL application is a <a href="http://ship.shapewright.com/">random spaceship maker</a>, with a direct tie-in to Shapeways to buy a 3D version of any model you make.</li>
<li>Speaking of Shapeways, I liked their &#8220;<a href="http://cunicode.com/one-coffee-cup-a-day/">one coffee cup a day project</a>&#8220;. The <a href="http://cunicode.com/day-09-low-resolution-cup/">low-resolution cup</a> is particularly good for computer graphics people, though I&#8217;m told that in real life it&#8217;s a fair bit more rounded off, due to the way the ceramic sets. Ironic. Also, note that these cups are actually quite small in real life (smaller than even espresso cups), which is too bad. Still, clever.</li>
<li><a href="http://www.bethblog.com/index.php/2011/09/08/ios-updates-source-code-for-wolfenstein-3d-classic-platinum-doom-classic/">Source code</a> for iOS versions of Castle Wolfenstein and the original DOOM is now available.</li>
<li>Patrick Cozzi has a nice <a href="http://blog.virtualglobebook.com/2011/08/siggraph-2011-trip-report-day-one.html">rundown of his days at SIGGRAPH</a> this August, with a particular emphasis on OpenGL and mobile. The links for each day are at the bottom of the entry.</li>
<li><a href="http://www.youtube.com/watch?v=gePtXO8CnaE">Nice fractal video</a> generated in near-real time (300 ms/frame) running a GLSL shader using <a href="http://code.google.com/p/boxplorer2/">this code</a>. Reddit thread <a href="http://www.reddit.com/r/videos/comments/l6kkn/3d_fractal_coolest_thing_ive_seen_today/">here</a>, about an earlier video <span style="text-decoration: line-through;">now pulled</span> <a href="http://www.youtube.com/watch?feature=player_embedded&amp;v=czVkT-JrXd0">back online</a>.</li>
<li><a href="http://www.videogamedesignschools.net/">This site</a> gives a darn long list of educational institutions offering videogame design degrees. It&#8217;s at least a place to start, if you&#8217;re looking for such things. That said, I&#8217;ve heard counterarguments from game company professionals to such specialized degrees, &#8220;just learn to program well and we&#8217;ll teach you the videogames business&#8221;.</li>
</ul>
<p>Bonus thing: <a href="http://www.google.com/trends/correlate/draw">Draw a curve of your data</a> for a number of years and see what it most closely correlates. Peculiar.</p>
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		<item>
		<title>Nerdy Desserts for the Holidays</title>
		<link>http://www.realtimerendering.com/blog/nerdy-desserts-for-the-holidays/</link>
		<comments>http://www.realtimerendering.com/blog/nerdy-desserts-for-the-holidays/#comments</comments>
		<pubDate>Sat, 25 Dec 2010 13:36:50 +0000</pubDate>
		<dc:creator>Eric</dc:creator>
				<category><![CDATA[Miscellaneous]]></category>
		<category><![CDATA[cookies]]></category>
		<category><![CDATA[fractals]]></category>
		<category><![CDATA[spherical harmonics]]></category>

		<guid isPermaLink="false">http://www.realtimerendering.com/blog/?p=1860</guid>
		<description><![CDATA[For the holidays, fractal snowflake cupcakes: and atomic orbital spritz cookies: Have a joyful HanChrisSolZaa season and a happy New Year!]]></description>
			<content:encoded><![CDATA[<p>For the holidays, <a href="http://www.evilmadscientist.com/article.php/fractalsnowflake">fractal snowflake cupcakes</a>:</p>
<p><a href="http://www.evilmadscientist.com/article.php/fractalsnowflake"><img class="size-full wp-image-1861 alignnone" title="Fractal snowflake cupcake" src="http://www.realtimerendering.com/blog/wp-content/uploads/2010/12/3365025380_1ea63b7a91.jpg" alt="" width="500" height="375" /></a></p>
<p><a href="http://www.evilmadscientist.com/article.php/fractalsnowflake"></a>and <a href="http://www.evilmadscientist.com/article.php/atomiccookies">atomic orbital spritz cookies</a>:</p>
<p><a href="http://www.evilmadscientist.com/article.php/atomiccookies"><img class="size-full wp-image-1862 alignnone" title="atomic orbital spritz cookies" src="http://www.realtimerendering.com/blog/wp-content/uploads/2010/12/4499450842_f53da6f13a.jpg" alt="" width="500" height="375" /></a></p>
<p>Have a joyful HanChrisSolZaa season and a happy New Year!</p>
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		</item>
		<item>
		<title>Benoit Mandelbrot dies at 85</title>
		<link>http://www.realtimerendering.com/blog/benoit-mandelbrot-dies-at-85/</link>
		<comments>http://www.realtimerendering.com/blog/benoit-mandelbrot-dies-at-85/#comments</comments>
		<pubDate>Sat, 16 Oct 2010 20:22:33 +0000</pubDate>
		<dc:creator>Eric</dc:creator>
				<category><![CDATA[Miscellaneous]]></category>
		<category><![CDATA[fractals]]></category>
		<category><![CDATA[Mandelbrot]]></category>

		<guid isPermaLink="false">http://www.realtimerendering.com/blog/?p=1778</guid>
		<description><![CDATA[I just received this news from Solomon Boulos, that Mandelbrot passed away. Would anyone have discovered this area of math if he hadn&#8217;t? Whatever the answer, many of us have whiled away at least a few happy hours rendering 2D and 3D fractals, and Benoit was the one who started it all. Here are a [...]]]></description>
			<content:encoded><![CDATA[<p>I just received this news from Solomon Boulos, that <a href="http://www.nytimes.com/2010/10/17/us/17mandelbrot.html?_r=1">Mandelbrot passed away</a>. Would anyone have discovered this area of math if he hadn&#8217;t? Whatever the answer, many of us have whiled away at least a few happy hours rendering 2D and 3D fractals, and Benoit was the one who started it all.</p>
<p>Here are a few links in honor of Mandelbrot. I happened to have these stored away for the blog, time to put them up.</p>
<ul>
<li><a href="http://www.geeks3d.com/20100513/demoscene-mandelkern-direct3d-mandelbulb-in-1k/">DirectX 9 Mandelbulb demo scene</a> code in 1k</li>
<li>The <a href="http://www.geeks3d.com/20100427/do-you-know-the-mandelbox-fractal/">Mandelbox</a></li>
<li>Iñigo Quilez&#8217;s site has a fair bit on fractals and on <a href="http://www.iquilezles.org/default.html">all sorts of other graphics goodness</a>.</li>
</ul>
]]></content:encoded>
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		<item>
		<title>7 things for December 25</title>
		<link>http://www.realtimerendering.com/blog/7-things-for-december-25/</link>
		<comments>http://www.realtimerendering.com/blog/7-things-for-december-25/#comments</comments>
		<pubDate>Fri, 25 Dec 2009 13:44:57 +0000</pubDate>
		<dc:creator>Eric</dc:creator>
				<category><![CDATA[Resources]]></category>
		<category><![CDATA[bagel]]></category>
		<category><![CDATA[collision detection]]></category>
		<category><![CDATA[demoscene]]></category>
		<category><![CDATA[fractals]]></category>
		<category><![CDATA[optical illusion]]></category>

		<guid isPermaLink="false">http://www.realtimerendering.com/blog/?p=682</guid>
		<description><![CDATA[A schedule for Christmas: Wake up from a dream about Plato, pixels, and perfect dudes. Then, breakfast. Under the CT-scanned tree, find that Aunt Dorothy gave you some real fractals for Christmas. After the initial thrill, remember the platonic solids you received last year and worry about the dust that might accumulate on any object [...]]]></description>
			<content:encoded><![CDATA[<p>A schedule for Christmas:</p>
<ul>
<li>Wake up from a dream about <a href="http://www.qwantz.com/index.php?comic=1603">Plato, pixels, and perfect dudes</a>.</li>
<li>Then, <a href="http://www.georgehart.com/bagel/bagel.html">breakfast</a>.</li>
<li>Under <a href="http://www.cg.tuwien.ac.at/research/publications/2001/xmas-2001/">the CT-scanned tree</a>, find that Aunt Dorothy gave you <a href="http://www.geeks3d.com/20091116/exploration-of-the-real-3d-mandelbrot-fractal/">some real fractals</a> for Christmas. After the initial thrill, remember <a href="http://vagueterrain.net/journal14/michael-hansmeyer/01">the platonic solids</a> you received last year and worry about the dust that might accumulate on any object with a nearly infinite surface area.</li>
<li>Go pick up your other presents: <a href="http://presurfer.blogspot.com/2009/11/fork-lift-accident-brings-down.html">drive a forklift around</a> and contemplate real-time collision detection.</li>
<li>After a large meal, put <a href="http://www.roysac.com/blog/2009/09/demoscene-marvels-know-your-history.html">demoscene programs</a> on the TV as ambient video and zone out. One not on the list that I think is great is <a href="http://www.youtube.com/watch?v=tCMo-bJQC8A">Heaven Seven</a>, only because of the astounding ray tracing (for the time), and keep in mind that <a href="http://pouet.net/prod.php?which=5">it&#8217;s just 64k</a>. The author&#8217;s original page describing the various tricks and techniques is gone, but the <a href="http://web.archive.org/web/20080610190747/http://demoscene.hu/~picard/h7/">Way Back Machine has it</a>!</li>
<li>Walk off some pounds by taking a constitutional, visiting <a href="http://beautifulpixels.blogspot.com/2009/11/anamorphosis-gamebryo-lightspeed-logo.html">a building</a> and <a href="http://www.boingboing.net/2009/10/28/artist-turns-village.html">a village</a>.</li>
<li>At the end of the day, you get a pencil and paper to write down who to thank for what. <a href="http://www.moillusions.com/2009/10/shady-optical-illusion.html">Hold up the pencil and count the colors</a>.</li>
</ul>
]]></content:encoded>
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		<title>Clearing the Queue</title>
		<link>http://www.realtimerendering.com/blog/clearing-the-queue/</link>
		<comments>http://www.realtimerendering.com/blog/clearing-the-queue/#comments</comments>
		<pubDate>Thu, 17 Sep 2009 17:35:02 +0000</pubDate>
		<dc:creator>Eric</dc:creator>
				<category><![CDATA[Resources]]></category>
		<category><![CDATA[3d displays]]></category>
		<category><![CDATA[3d printing]]></category>
		<category><![CDATA[augmented reality]]></category>
		<category><![CDATA[books]]></category>
		<category><![CDATA[captchas]]></category>
		<category><![CDATA[caustics]]></category>
		<category><![CDATA[compression]]></category>
		<category><![CDATA[cubemaps]]></category>
		<category><![CDATA[DirectX]]></category>
		<category><![CDATA[fractals]]></category>
		<category><![CDATA[Larrabee]]></category>
		<category><![CDATA[photon mapping]]></category>
		<category><![CDATA[procedural modeling]]></category>
		<category><![CDATA[projection]]></category>
		<category><![CDATA[ray tracing]]></category>
		<category><![CDATA[SSAO]]></category>

		<guid isPermaLink="false">http://www.realtimerendering.com/blog/?p=297</guid>
		<description><![CDATA[I&#8217;ve have a goal this week (it should be clear by now) of clearing my queue of stored-up RTR links by my birthday, today! (Hint: I want a pony.) So excuse the excessively-long list o&#8217; links. Next task on my list, update the main RTR page itself. StructureSynth. This looks pretty cool, and I love [...]]]></description>
			<content:encoded><![CDATA[<p>I&#8217;ve have a goal this week (it should be clear by now) of clearing my queue of stored-up RTR links by my birthday, today! (Hint: I want a pony.) So excuse the excessively-long list o&#8217; links. Next task on my list, update the <a href="http://realtimerendering.com/">main RTR page itself</a>.</p>
<ul>
<li><a href="http://meshula.net/wordpress/?p=349">StructureSynth</a>. This looks pretty cool, and I love procedural models (my ancient <a href="http://tog.acm.org/resources/SPD/">SPD package</a> was all about this, back in the days when downloading models was oppressively slow). I do wish they just provided an executable &#8211; building looks like a pain.</li>
<li>That previous link was on <a href="http://meshula.net/wordpress/">Meshula.net</a>, which also blogs about <a href="http://meshula.net/wordpress/?p=363">Pixel Bender Fractals</a>. Great stuff, sort of steampunk computer graphics: you must <a href="http://www.subblue.com/blog/2009/7/18/artforms_of_nature">click this link</a>, if no other on this page, and look on in awe.</li>
<li><a href="http://www.shapeways.com/blog/">Shapeways has a blog</a>, and it&#8217;s not just dull company announcements. I&#8217;m glad they find <a href="http://www.shapeways.com/blog/archives/287-Arirang-Festival-Mass-Games-Pyongyang,-North-Korea.html#extended">people as pixels</a> as interesting as I do. They also cover <a href="http://www.shapeways.com/blog/archives/282-3D-Printing-your-Spore-characters.html">exporting Spore characters</a> to Collada files (which is a great addition to Spore) and creating physical models from these.</li>
<li>In related news, <em>The Economist</em> has a reasonable <a href="http://www.economist.com/sciencetechnology/tq/displaystory.cfm?story_id=14299512">summary of some trends in 3D printing</a>. Their <a href="http://www.economist.com/sciencetechnology/tq/">Technology Quarterly</a> also has articles on <a href="http://www.economist.com/sciencetechnology/tq/displaystory.cfm?story_id=14299602">Augmented Reality</a>, <a href="http://www.economist.com/sciencetechnology/tq/displaystory.cfm?story_id=14299526">3D displays</a>, and <a href="http://www.economist.com/sciencetechnology/tq/displaystory.cfm?story_id=14299700">CAPTCHAs</a>, among other topics.</li>
<li>This is one more reason the Internet is great: an <a href="http://aras-p.info/texts/CompactNormalStorage.html">in-depth article on normal compression techniques</a>, weighing the pros and cons of each. This sort of article would probably not see the light of day in traditional publications, even <em>Game Developer </em>- too long for them, but all the info presented here is worthwhile for a developer making this decision. <a href="http://aras-p.info/blog/">Aras&#8217; blog</a> has other nice bits such as <a href="http://aras-p.info/blog/2009/07/30/encoding-floats-to-rgba-the-final/">packing a float into RGBA</a> and <a href="http://aras-p.info/blog/2009/09/17/strided-blur-and-other-tips-for-ssao/">SSAO blurring</a>.</li>
<li>I need to add a link to the article itself to the <a href="http://realtimerendering.com/intersections.html">object intersection page</a>, but Morgan McGuire recently verified that he found <a href="http://jgt.akpeters.com/papers/EisemannEtAl07/">this ray/box algorithm</a> super-fast in SIMD. Code&#8217;s downloadable from that page, free version of article is downloadable <a href="http://realtimerendering.com/intersections.html">here</a>. Morgan uses this test in the ray tracer for his <a href="http://graphics.cs.williams.edu/papers/PhotonHPG09/">cool photon mapping paper at HPG 2009</a>; if nothing else, you should at least see <a href="http://graphics.cs.williams.edu/papers/PhotonHPG09/ISPM-HPG09-video.mp4">the video</a>.</li>
<li>In related news, I am happy to see that AK Peters is beginning to put <a href="http://akpeters.metapress.com/content/120927/">past </a><em><a href="http://akpeters.metapress.com/content/120927/">journal of graphics tools</a></em><a href="http://akpeters.metapress.com/content/120927/"> articles online</a>. At $15 each, the price of an article is quite high for individuals (or at least this individual), but current <a href="http://jgt.akpeters.com/"><em>journal of graphics (gpu, &amp; game) tools</em></a> subscribers have full access to this archive for free. The mechanism to get access is a little clunky right now: if you&#8217;re a subscriber, you need to <a href="http://metapress.com/identities/registration/individual">register with Metapress</a>, then <a href="mailto:marketing@akpeters.com">tell AK Peters your userid</a> and they&#8217;ll provide you access.</li>
<li>Related to this, I hope <a href="http://books.google.com/">Google Books</a> conquers the world (or anyone else doing similar work, as long as it isn&#8217;t Apple or Amazon or other overcharging closed-box &#8220;we&#8217;re just protecting the authors, who get 10% or less for a purely digital sale with nil physical cost to us per unit&#8221; retailers &#8211; rant over, and I do understand there are fixed start-up costs for the retailer/publisher/etc., but really&#8230;). Google Books is so darn handy to look for short articles in books at Google&#8217;s repository, such as <a href="http://books.google.com/books?hl=en&amp;lr=&amp;id=87NzFbSROUYC&amp;oi=fnd&amp;pg=PA15&amp;dq=Building+an+Orthonormal+Basis+from+a+Unit+Vector&amp;ots=I933IaLIM5&amp;sig=CdaFNAf2M5neEwf9q7S3UoPxXyU#v=onepage&amp;q=&amp;f=false">this one</a> giving a clean way to build an orthonormal basis given a vector, from <em><a href="http://www.amazon.com/Graphics-Tools-JGT-Editors-Choice/dp/1568812469?tag=realtimerenderin">Graphics Tools: The JGT Editors&#8217; Choice</a></em>.</li>
<li>Humus provides a <a href="http://www.humus.name/index.php?page=Textures">whole slew of new cubemaps</a> he captured, if you&#8217;re getting tired of <a href="http://debevec.org/Probes/">Grace Cathedral</a>.</li>
<li>CUDA itself (vs. others) may or may not be a critical technology, but <a href="http://c0de517e.blogspot.com/2009/05/how-gpu-works-appendix.html">what it shows about the underlying GPU architecture</a> is fascinating.</li>
<li>It should be mentioned: <a href="http://www.microsoft.com/downloads/details.aspx?FamilyID=b66e14b8-8505-4b17-bf80-edb2df5abad4&amp;displaylang=en">August 2009 DirectX SDK</a> is available. Includes the first official release of DirectX 11.</li>
<li><a href="http://www.humus.name/index.php?ID=283">This is hilarious</a>, and possibly even useful!</li>
<li>I love seeing things like this: <a href="http://www.maximumpc.com/article/features/maximum_pc_builds_a_multitouch_surface_computer">build your own multitouch display</a>. Not that I&#8217;ll ever do it, but I hope others will.</li>
<li>You might be sick of Larrabee news (ship one, already!), but I found <a href="http://www.futuregpu.org/2009/04/nvidia-talks-larrabee.html">Phil Taylor&#8217;s article</a> pleasantly hype-free and informative.</li>
<li><a href="http://www.amd.com/us/products/technologies/eyefinity/Pages/eyefinity.aspx">ATI&#8217;s Eyefinity</a> (cute marketing name, I must admit &#8211; now I want to use the word everywhere) seems to me to solve a problem that rarely occurs: too much GPU for too few screens. Still, it&#8217;s nice to have the option. Eyefinity allows up to six monitors to be driven by a single GPU. I guess Eyefinity is useful when running older flight simulator programs on newer GPUs; otherwise, Eyefinity is pretty irrelevant. Eyefinity, eyefinity, eyefinity. At work I find two displays is plenty, one to run, one to debug. Anyway, the sweet spot for the monitor:GPU ratio is 13:1, as can be seen <a href="http://www.cartoonbarry.com/2007/11/weird_geek_pictures_chip_car_f.html">here</a>:<br />
<img class="alignnone size-full wp-image-300" title="Flight Simulator - living the dream" src="http://www.realtimerendering.com/blog/wp-content/uploads/2009/09/1933854057_1007ba91f0.jpg" alt="Flight Simulator - living the dream" width="500" height="380" /></li>
<li>There&#8217;s an <a href="http://www.gamasutra.com/view/feature/4028/sponsored_feature_rendering_grass_.php">article on instancing animated grass using DX10</a> on Gamasutra.</li>
<li><a href="http://www.humus.name/index.php?ID=255">Humus&#8217; summary of z interpolation</a> is a good summary of the topic. He gives some of the key tricks, e.g., if you&#8217;re using floating point, use a near=1.0 and far=0.0 to help preserve precision.</li>
<li>Here&#8217;s a <a href="http://www.significant-bits.com/a-laymans-guide-to-projection-in-video-games">basic tutorial</a> on different projection methods used in videogames, with lots of visual examples (add &#8220;Zaxxon&#8221; and it&#8217;s complete, for me). The one new tidbit I learnt from it was about <a href="http://en.wikipedia.org/wiki/Reverse_perspective">reverse perspective</a>, an effect I&#8217;ve made myself once every now and then when I screw up a projection matrix.</li>
<li>While I&#8217;ve been on break (one of the reasons I&#8217;ve been posting so much &#8211; Autodesk gives wonderful 6 week &#8220;sabbaticals&#8221;, aka &#8220;long vacations&#8221;, to U.S. employees every four years you&#8217;re there; it&#8217;s like being <a href="http://www.timesizing.com/1vacatns.htm">French or Swedish</a> every fourth year), the rest of the company&#8217;s been busy: this new <a href="http://www.youtube.com/watch?v=YwYm5YhA0pQ">sketch application</a> for the iPhone looks pretty cool, at the usual $2.99 &#8220;cup of coffee&#8221; type price.</li>
<li><a href="http://www.reuters.com/article/idUSTRE4BM4HH20081223">Caustics can be dangerous</a>. I can attest to this myself; a goofy award Andrew Glassner gave me long ago sat on my windowsill for years (I moved once, as you should discern from the picture), until I noticed what was happening to the base:<br />
<img class="alignnone size-medium wp-image-301" title="caustics" src="http://www.realtimerendering.com/blog/wp-content/uploads/2009/09/caustics-300x212.png" alt="caustics" width="300" height="212" /></li>
<li>I usually don&#8217;t have time to keep up with <a href="http://slashdot.org/">Slashdot</a>, but <a href="http://seenonslash.com/">SeenOnSlash</a>, the funny bits of SlashDot, is sometimes entertaining. Graphics-related example: <a href="http://seenonslash.com/node/3600">AMD&#8217;s latest chip</a>.</li>
</ul>
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