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<html><head><title>Wavelets for Computer Graphics: Contents</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>T</font><font size=-1>HEORY AND</font><font size=+1>A</font><font size=-1>PPLICATIONS</font></b><p><table border=0 cellpadding=10>  <tr>    <td align=center valign=top>Eric J. Stollnitz<br>    <font size=-1>University of Washington<p></font></td>    <td align=center valign=top>Tony D. DeRose<br>    <font size=-1>Pixar Animation Studios<p></font></td>    <td align=center valign=top>David H. Salesin<br>    <font size=-1>University of Washington<p></font></td>  </tr></table><hr width=200><p><b>Table of Contents</b><p></center><blockquote><dl>  <dt> <b>Foreword</b>  <dt> <b>Preface</b>  <dt> <b>Notation</b>  <dt> <b>1 &nbsp; Introduction</b>  <dd> <font size=-1>       1.1 &nbsp; Multiresolution methods<br>       1.2 &nbsp; Historical perspective<br>       1.3 &nbsp; Overview of the book<p></font>  <dt> <b><font size=+1>Part I: Images</font></b>  <dt> <b>2 &nbsp; Haar: The simplest wavelet basis</b>  <dd> <font size=-1>       2.1 &nbsp; The one-dimensional Haar wavelet transform<br>       2.2 &nbsp; One-dimensional Haar basis functions<br>       2.3 &nbsp; Orthogonality and normalization<br>       2.4 &nbsp; Wavelet compression</font>  <dt> <b>3 &nbsp; Image compression</b>  <dd> <font size=-1>       3.1 &nbsp; Two-dimensional Haar wavelet transforms<br>       3.2 &nbsp; Two-dimensional Haar basis functions<br>       3.3 &nbsp; Wavelet image compression<br>       3.4 &nbsp; Color images<br>       3.5 &nbsp; Summary</font>  <dt> <b>4 &nbsp; Image editing</b>  <dd> <font size=-1>       4.1 &nbsp; Multiresolution image data structures<br>       4.2 &nbsp; Image editing algorithm<br>       4.3 &nbsp; Boundary conditions<br>       4.4 &nbsp; Display and editing at fractional resolutions<br>       4.5 &nbsp; Image editing examples</font>  <dt> <b>5 &nbsp; Image querying</b>  <dd> <font size=-1>       5.1 &nbsp; Image querying by content<br>       5.2 &nbsp; Developing a metric for image querying<br>       5.3 &nbsp; Image querying algorithm<br>       5.4 &nbsp; Image querying examples<br>       5.5 &nbsp; Extensions<p></font>  <dt> <b><font size=+1>Part II: Curves</font></b>  <dt> <b>6 &nbsp; Subdivision curves</b>  <dd> <font size=-1>       6.1 &nbsp; Uniform subdivision<br>       6.2 &nbsp; Non-uniform subdivision<br>       6.3 &nbsp; Evaluation masks<br>       6.4 &nbsp; Nested spaces and refinable scaling functions</font>  <dt> <b>7 &nbsp; The theory of multiresolution analysis</b>  <dd> <font size=-1>       7.1 &nbsp; Multiresolution analysis<br>       7.2 &nbsp; Orthogonal wavelets<br>       7.3 &nbsp; Semi-orthogonal wavelets<br>       7.4 &nbsp; Biorthogonal wavelets<br>       7.5 &nbsp; Summary</font>  <dt> <b>8 &nbsp; Multiresolution curves</b>  <dd> <font size=-1>       8.1 &nbsp; Related curve representations<br>       8.2 &nbsp; Smoothing a curve<br>       8.3 &nbsp; Editing a curve<br>       8.4 &nbsp; Scan conversion and curve compression</font>  <dt> <b>9 &nbsp; Multiresolution tiling</b>  <dd> <font size=-1>       9.1 &nbsp; Previous solutions to the tiling problem<br>       9.2 &nbsp; The multiresolution tiling algorithm<br>       9.3 &nbsp; Time complexity<br>       9.4 &nbsp; Tiling examples<p></font>  <dt> <b><font size=+1>Part III: Surfaces</font></b>  <dt> <b>10 &nbsp; Surface wavelets</b>  <dd> <font size=-1>       10.1 &nbsp; Overview of multiresolution analysis for surfaces<br>       10.2 &nbsp; Subdivision surfaces<br>       10.3 &nbsp; Selecting an inner product<br>       10.4 &nbsp; A biorthogonal surface wavelet construction<br>       10.5 &nbsp; Multiresolution representations of surfaces</font>  <dt> <b>11 &nbsp; Surface applications</b>  <dd> <font size=-1>       11.1 &nbsp; Conversion to multiresolution form<br>       11.2 &nbsp; Surface compression<br>       11.3 &nbsp; Continuous level-of-detail control<br>       11.4 &nbsp; Progressive transmission<br>       11.5 &nbsp; Multiresolution editing<br>       11.6 &nbsp; Future directions for surface wavelets<p></font>  <dt> <b><font size=+1>Part IV: Physical simulation</font></b>  <dt> <b>12 &nbsp; Variational modeling</b>  <dd> <font size=-1>       12.1 &nbsp; Setting up the objective function<br>       12.2 &nbsp; The finite-element method<br>       12.3 &nbsp; Using finite elements in variational modeling<br>       12.4 &nbsp; Variational modeling using wavelets<br>       12.5 &nbsp; Adaptive variational modeling</font>  <dt> <b>13 &nbsp; Global illlumination</b>  <dd> <font size=-1>       13.1 &nbsp; Radiosity<br>       13.2 &nbsp; Finite elements and radiosity<br>       13.3 &nbsp; Wavelet radiosity<br>       13.4 &nbsp; Enhancements to wavelet radiosity</font>  <dt> <b>14 &nbsp; Further reading</b>  <dd> <font size=-1>       14.1 &nbsp; Theory of multiresolution analysis<br>       14.2 &nbsp; Image applications<br>       14.3 &nbsp; Curve and surface applications<br>       14.4 &nbsp; Physical simulation<p></font>  <dt> <b><font size=+1>Part V: Appendices</font></b>  <dt> <b>A &nbsp; Linear algebra review</b>  <dd> <font size=-1>       A.1 &nbsp; Vector spaces<br>       A.2 &nbsp; Bases and dimension<br>       A.3 &nbsp; Inner products and orthogonality<br>       A.4 &nbsp; Norms and normalization<br>       A.5 &nbsp; Eigenvectors and eigenvalues</font>  <dt> <b>B &nbsp; B-spline wavelet matrices</b>  <dd> <font size=-1>       B.1 &nbsp; Haar wavelets<br>       B.2 &nbsp; Endpoint-interpolating linear B-spline wavelets<br>       B.3 &nbsp; Endpoint-interpolating quadratic B-spline wavelets<br>       B.4 &nbsp; Endpoint-interpolating cubic B-spline wavelets</font>  <dt> <b>C &nbsp; Matlab code for B-spline wavelets<p></b>  <dt> <b>Bibliography</b>  <dt> <b>Index</b>  <dt> <b>Color plates</b></dl></blockquote><hr><table width=100% cellpadding=0 cellspacing=0>  <tr>    <td align=left><font size=-1>	<a href="mailto:stoll@amath.washington.edu">	&lt;stoll@amath.washington.edu&gt;</a>	</font></td>    <td align=right><font size=-1><!-- hhmts start -->3:24 pm, 2 January 1997<!-- hhmts end -->	</font></td>  </tr></table></body></html>

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