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<DIV><FONT face=Verdana size=2><SPAN class=638584420-07062004>I want to
construct a fourier series decomposition of a function. Rather than write
new code, I decided to try to use PolyLineParametricPath, ChainCodePath, and
FourierSeriesPath. I used my function values as the path positions (1D)
for the PolyLineParametricPath, used MakeChainCodeTracePath to convert this path
(function) to a chain code, and then used MakeFourierSeriesPathTraceChainCode to
perform the fourier decomposition.</SPAN></FONT></DIV>
<DIV><FONT face=Verdana size=2><SPAN
class=638584420-07062004></SPAN></FONT> </DIV>
<DIV><FONT face=Verdana size=2><SPAN class=638584420-07062004>Evaluating
positions on the fourier series path yields a curve that does not approximate
the</SPAN></FONT></DIV>
<DIV><FONT face=Verdana size=2><SPAN class=638584420-07062004>original (cyclic)
function well. I am starting with 30 points in the polyline, ending up
with 20000 points on the chain code (my function has a strange
scale).</SPAN></FONT></DIV>
<DIV><FONT face=Verdana size=2><SPAN
class=638584420-07062004></SPAN></FONT> </DIV>
<DIV><FONT face=Verdana size=2><SPAN class=638584420-07062004>Does anyone have
experience with the FourierSeriesPath?</SPAN></FONT></DIV>
<DIV><FONT face=Verdana size=2><SPAN
class=638584420-07062004></SPAN></FONT> </DIV>
<DIV><FONT face=Verdana size=2><SPAN class=638584420-07062004>I realize that I
do not have a path as the authors originally intended but it seems to me that I
should be able to use the FourierSeriesPath to approximate any cyclic
function.</SPAN></FONT></DIV>
<DIV><FONT face=Verdana size=2><SPAN
class=638584420-07062004></SPAN></FONT> </DIV>
<DIV><FONT face=Verdana size=2></FONT> </DIV>
<DIV>
<P style="MARGIN: 0in 0in 0pt"><B><SPAN
style="COLOR: navy; FONT-FAMILY: 'Comic Sans MS'">Jim Miller</SPAN></B>
<BR><B><I><SPAN
style="FONT-SIZE: 10pt; COLOR: red; FONT-FAMILY: Arial">_____________________________________</SPAN></I></B><BR><EM><SPAN
style="FONT-SIZE: 7.5pt; COLOR: black; FONT-FAMILY: Arial">Visualization &
Computer Vision</SPAN></EM><I><SPAN
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Research</EM><BR><EM>Bldg. KW, Room C218B</EM><BR><EM>P.O. Box 8, Schenectady NY
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href="mailto:millerjv@research.ge.com">millerjv@research.ge.com</A></SPAN></U></EM></P>
<P style="MARGIN: 0in 0in 0pt"><EM><U><SPAN
style="FONT-SIZE: 7.5pt; COLOR: blue">james.miller@research.ge.com</SPAN></U></EM><BR><I><SPAN
style="FONT-SIZE: 7.5pt; COLOR: black; FONT-FAMILY: Arial">(518) 387-4005, Dial
Comm: 8*833-4005, </SPAN></I><BR><I><SPAN
style="FONT-SIZE: 7.5pt; COLOR: black; FONT-FAMILY: Arial">Cell: (518) 505-7065,
Fax: (518) 387-6981</SPAN></I> </P></DIV>
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