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<html><head><title>Wavelets for Computer Graphics</title></head><body bgcolor="#FFFFFF" text="#000000" link="#0000CC" vlink="#330066" alink="#FF0000"><center><b><font size=+3>W</font><font size=+1>AVELETS FOR</font><font size=+3>C</font><font size=+1>OMPUTER</font><font size=+3>G</font><font size=+1>RAPHICS</font><br><font size=+1>A P</font><font size=-1>RIMER</font></b><p><table border=0 cellpadding=10> <tr> <td align=center valign=top>Eric J. Stollnitz</td> <td align=center valign=top>Tony D. DeRose</td> <td align=center valign=top>David H. Salesin</td> </tr></table><hr width=200><p></center><blockquote>Wavelets are a mathematical tool for hierarchically decomposing functions.Using wavelets, a function can be described in terms of a coarse overallshape, plus details that range from broad to narrow. Regardless of whetherthe function of interest is an image, a curve, or a surface, waveletsprovide an elegant technique for representing the levels of detail present.This primer is intended to provide those working in computer graphics withsome intuition for what wavelets are, as well as to present themathematical foundations necessary for studying and using them.<p>In Part 1, we discuss the simple case of Haar wavelets in one and twodimensions, and show how they can be used for image compression. Part 2presents the mathematical theory of multiresolution analysis, developsbounded-interval spline wavelets, and describes their use inmultiresolution curve and surface editing.<p><table cellpadding=3 cellspacing=3> <tr valign=top> <td bgcolor="#cccccc" rowspan=2><b>Part 1</b></td> <td colspan=2>Eric J. Stollnitz, Tony D. DeRose, and David H. Salesin. <b>Wavelets for computer graphics: A primer, part 1</b>. <i>IEEE Computer Graphics and Applications</i>, 15(3):76-84, May 1995.</td> </tr> <tr valign=top align=center> <td><a href="wavelet1.pdf" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/wavelet1.pdf"><img src="pdf.gif" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/pdf.gif" width=32 height=32 border=0 align=baseline alt=""><br> [264 Kb PDF]</a></td> <td><a href="wavelet1.ps.Z" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/wavelet1.ps.Z"><img src="ps.gif" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/ps.gif" width=32 height=32 border=0 align=bottom alt=""><br> [473 Kb compressed PostScript]</a></td> </tr> <tr><td></td></tr> <tr valign=top> <td bgcolor="#cccccc" rowspan=2><b>Part 2</b></td> <td colspan=2>Eric J. Stollnitz, Tony D. DeRose, and David H. Salesin. <b>Wavelets for computer graphics: A primer, part 2</b>. <i>IEEE Computer Graphics and Applications</i>, 15(4):75-85, July 1995.</td> </tr> <tr valign=top align=center> <td><a href="wavelet2.pdf" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/wavelet2.pdf"><img src="pdf.gif" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/pdf.gif" width=32 height=32 border=0 align=center alt=""><br> [865 Kb PDF]</a></td> <td><a href="wavelet2.ps.Z" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/wavelet2.ps.Z"><img src="ps.gif" tppabs="http://grail.cs.washington.edu/projects/wavelets/article/ps.gif" width=32 height=32 border=0 align=center alt=""><br> [417 Kb compressed PostScript]</a></td> </tr></table></blockquote><hr><table width=100% cellpadding=0 cellspacing=0> <tr> <td align=left><font size=-1> <a href="mailto:stoll@amath.washington.edu"> <stoll@amath.washington.edu></a> </font></td> <td align=right><font size=-1><!-- hhmts start -->3:12 pm, 27 January 1997<!-- hhmts end --> </font></td> </tr></table></body></html>
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