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Date: Thu, 07 Nov 1996 19:10:31 GMTServer: NCSA/1.5Content-type: text/htmlLast-modified: Wed, 14 Feb 1996 14:46:32 GMTContent-length: 8535<HTML><HEAD><TITLE>Gareth Bestor's Home Page</TITLE></HEAD><BODY><CENTER><H1>Welcome to Gareth Bestor's Home Page</H1><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><IMG SRC="http://www.cs.wisc.edu/~bestor/pictures/bestor.gif" WIDTH=272 HEIGHT=240></CENTER><HR><H2>Gareth S. Bestor</H2> <BLOCKQUOTE> <EM>Dissertator and Teaching Assistant</EM><BR> <!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><A HREF="http://www.cs.wisc.edu/">Computer Sciences Department</A><BR> <!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><A HREF="http://wiscinfo.wisc.edu/">University of Wisconsin-Madison</A><BR> 1210 West Dayton Street<BR> Madison, WI 53706-1685, U.S.A.<BR> Telephone: (608) 262-6601<BR> Fax: (608) 262-9777<BR> E-mail: <!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><A HREF="mailto:bestor@cs.wisc.edu">bestor@cs.wisc.edu</A> (click <!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><A HREF="http://www.cs.wisc.edu/cgi-bin/finger?bestor">here</A> for finger)<BR> World-Wide-Web: <!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><A HREF="http://www.cs.wisc.edu/~bestor">http://www.cs.wisc.edu/~bestor</A><BR> <BR> <EM>Systems Administrator</EM><BR> <!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><A HREF="http://dpls.dacc.wisc.edu">Data and Program Library Service</A><BR> 1180 Observatory Drive<BR> Madison, WI 53705, U.S.A.<BR> Telephone: (608) 262-7962<BR> E-mail: <!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><A HREF="mailto:bestor@dpls.dacc.wisc.edu">bestor@dpls.dacc.wisc.edu</A><BR></BLOCKQUOTE><H3>Education:</H3><BLOCKQUOTE> <EM>M.S. Computer Sciences</EM>, <!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><A HREF="http://www.cs.wisc.edu/">University of Wisconsin-Madison</A>, 1991<BR> <EM>B.Sc. (honors) Computer Science</EM>, <!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><A HREF="http://www.massey.ac.nz/">Massey University</A>, New Zealand, 1989<BR> <EM>B.Sc. Computer Science</EM>, <!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><A HREF="http://www.massey.ac.nz/">Massey University</A>, New Zealand, 1988<BR> <UL> <LI><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><A HREF="http://www.cs.wisc.edu/~bestor/personal/Curriculum_Vitae.ps"><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><IMG SRC="http://www.cs.wisc.edu/~bestor/icons/document.gif" WIDTH=48 HEIGHT=48> Curriculum Vitae</A> (PostScript) <LI><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><A HREF="http://www.cs.wisc.edu/~bestor/personal/Resume.ps"><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><!WA14><IMG SRC="http://www.cs.wisc.edu/~bestor/icons/document.gif" WIDTH=48 HEIGHT=48> Resume</A> (PostScript) <LI><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><!WA15><A HREF="http://www.cs.wisc.edu/~bestor/personal/Graduate_Coursework.ps"><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><!WA16><IMG SRC="http://www.cs.wisc.edu/~bestor/icons/document.gif" WIDTH=48 HEIGHT=48> Graduate Coursework</A> (PostScript) </UL></BLOCKQUOTE><HR><H2>Dissertation Research</H2> <DL> <DT>Title: <DD><EM>Structure from Motion: the Inverse Projection Problem</EM><P> <CENTER> <!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><!WA17><IMG SRC="http://www.cs.wisc.edu/~bestor/pictures/salt.gif" WIDTH=481 HEIGHT=133> </CENTER> <P> <DT>Abstract: <DD>An important problem in computer vision is recovering the 3-D structure of a scene and the position of the observer within it from one or more projected 2-D images. This is essentially the inverse projection problem. Existing <EM>Structure-From-Motion</EM> (SFM) techniques solve this problem by examining multiple images projected from a rigid scene. However SFM has not been used extensively in practice because these techniques are very sensitive to noise, do not accurately model optical projection, or restrict the position of the observer and/or the structure of the scene. My research uses a new technique for solving the inverse projection problem called the <EM>Concurrent Projector Model</EM> which makes no assumptions about the scene other than it is rigid and no assumptions about the position of the observer. This technique uses a <EM>projector</EM> based model of projection instead of the camera based model traditionally used in SFM. As a result, the algorithm is defined for any geometric transformation in any dimension, not just 3-D perspective projection. For a given transformation and dimension the algorithm identifies when the inverse projection problem is under-constrained and specifies the minimum number of points and images required to solve it. The Concurrent Projector Model can also examine additional points and images to minimize the types of projection errors that occur in real-world applications by allowing the projectors to approximately intersect.<P>
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