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Date: Thu, 07 Nov 1996 19:22:46 GMTServer: NCSA/1.5Content-type: text/htmlLast-modified: Thu, 04 May 1995 05:31:51 GMTContent-length: 2940<HTML><HEAD><TITLE>Periodic Motion Information</TITLE></HEAD><BODY><H1> <!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><!WA0><A HREF="http://www.cs.wisc.edu/~seitz/jogi.gif"> <!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><!WA1><IMG ALIGN=BOTTOM SRC="http://www.cs.wisc.edu/~seitz/jog.icon.gif"></A>Periodic and Cyclic Motion Analysis </H1><H2> <!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><!WA2><A HREF="http://www.cs.wisc.edu/~seitz/seitz.html">Steve Seitz</A>,<!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><!WA3><A HREF="http://www.cs.wisc.edu/~dyer/dyer.html"> Chuck Dyer</A></H2><P>Many real-life motions are periodic in some frame of reference.  For instance, most human locomotory motions (e.g., walking running, skipping, shuffling) areperiodic in a frame of reference that moves with the person.  We havedeveloped an approach for determining if an image sequence could have beenproduced by an object whose motion is periodic in some reference frame.Unlike all previous attempts to determine periodicity information, ourapproach allows the camera to move during filming.  For more information (1.3M poscript paper), click <!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><!WA4><A HREF="ftp://ftp.cs.wisc.edu/computer-vision/cvpr94-seitz.ps.Z">here</A>.<P><HR><H2> <!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><!WA5><A HREF="http://www.cs.wisc.edu/~seitz/ptrace.gif"><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><!WA6><IMG SRC="http://www.cs.wisc.edu/~seitz/ptrace.icon.gif"></A>Period Trace</H2><P><I>This image shows the period trace (red lines) recovered from an imagesequence of a phonograph turntable.  Ramps correspond to moments in timewhere the turntable was momentarily slowed.  The period trace is shownsuperimposed on the error surface from which it was recovered.</I><P>Real repeating motions tend not to be perfectly even, i.e., the period variesslightly from one cycle to the next, because of physically important changesin the scene.  A generalization of period is defined for cyclic motionsthat makes periodic variation explicit.  This representation, called the<I> period trace</I>, is compact and purely temporal, describing the evolutionof an object or scene without reference to spatial quantities such asposition or velocity.  By delimiting cycles and identifying correspondencesacross cycles, the period trace provides a means of temporally parsinga cyclic motion.  In addition, several purely temporal motion features canbe derived, relating to the nature and location of irregularities.The period tracecan also be used for medical image enhancement by compositing images fromdifferent cycles.  Furthermore, the period trace can be reliably recoveredfrom image sequences in a view-invariant fashion using a theory of affine invariance.  For more information (1.3M poscript paper) click<!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><!WA7><A HREF="ftp://ftp.cs.wisc.edu/computer-vision/nram94-seitz.ps.Z">here</A>.<P><A NAME="enhancement"> <H3> Heart X-ray Image Enhancement </H3> </A><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><!WA8><A HREF="http://www.cs.wisc.edu/~seitz/img1.gif"><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><!WA9><IMG SRC="http://www.cs.wisc.edu/~seitz/img1.icon.gif"></A><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><!WA10><A HREF="http://www.cs.wisc.edu/~seitz/img107.gif"><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><!WA11><IMG SRC="http://www.cs.wisc.edu/~seitz/img107.icon.gif"></A><BR><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><!WA12><A HREF="http://www.cs.wisc.edu/~seitz/med.gif"><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><!WA13><IMG SRC="http://www.cs.wisc.edu/~seitz/med.icon.gif"></A><P><I>Top:  two corresponding angiographic images determined from period trace.  Bottom: composite of 5 such corresponding images.  Note additionalstructure visible in composite but not apparent in single raw images.</I><P></BODY></HTML>

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