function?[elvelf]?=?ellipsedata3（covmatcenternumpointssigmarulevarargin）

%%?Ellipsedata3?V1.000
%
%?Constructs?data?points?of?ellipses?representing?contour?curves?of?3-dimensional
%?Gaussian?distributions?with?any?covariance?and?mean?value.
%
%%?Example
%
%?In?this?example?the?funcion?ellipsedata?constructs?one?ellipsoid?（3-dimensional
%?ellipse）?of?400?points?representing?the?contour?curve?corresponding?to?a?standard
%?deviation?of?1.5?for?a?3-dimensional?Gaussian?distribution?with?covariance?matrix?given?by
%?[411;121;111]?and?mean?value?given?by?[333].
%
%?[elvelf]=ellipsedata3（[411;121;111][333]201.5）;
%
%?The?positions?of?the?vertices?are?stored?in?elv?and?can?be?plotted?as?follows
%
%?scatter3（elv（:1）elv（:2）elv（:3））;
%
%?The?faces?（vertices?forming?a?patch）?are?stored?in?elf?and?can?be?plotted?as?follows
%
%?patch（‘Faces‘elf‘Vertices‘elv‘FaceColor‘‘white‘‘EdgeColor‘‘black‘）;
%
%%?Input?arguments
%
%???covmat:
%???????Covariance?matrix?of?a?3-dimensional?Gaussian?distribution.?Must?be?of
%???????size?3x3?symmetric?and?positive?definite.?If?the?format?is?not
%???????correct?an?error?is?triggered.?If?the?matrix?is?not?symmetric?it
%???????is?symmetrized?by?adding?its?transpose?and?dividing?by?2.
%
%???center:
%???????The?center?（mean?value）?of?the?3-dimensional?Gaussian?distribution.?If
%???????the?format?is?not?correct?it?is?set?to?[000].
%
%???numpoints:
%???????Square?root?of?the?number?of?points?that?each?ellipsoid?will?be?composed?of.
%???????Must?be?a?positive?integer?number.?If?it?is?not?numeric?or?positive?it?is
%???????set?to?20.?If?it?is?not?integer?it?is?converted?to?integer?using
%???????the?function?ceil.
%
%???sigmarule:
%???????The?proportion?of?standard?deviation?surrounded?by?each?ellipsoid.
%
%???varargin?（later?assigned?to?“zeroprecision“）:
%???????A?real?number?indicating?the?maximum?difference?after?which?two
%???????numbers?are?considered?different.?This?value?is?used?for?assessing
%???????whether?covmat?is?symmetric.?If?not?specified?it?is?set?to?1E-12
%
%%?Output?arguments
%
%???elv:
%???????Matrix?in?which?each?row?represents?the?positions?of?the?points?（vertices）
%???????that?constitute?the?ellipsoid.
%
%???elf:
%???????Matrix?with?the?indices?of?the?vertices?that?constitute?each?face?（patch）
%???????of?the?ellipsoid.
%
%%?Version?control
%
%?V1.000:?First?version.?Some?points?in?elv?are?repeated.?For?simplicity
%?they?are?left?as?such.
%
%
%%?Please?report?any?bugs?to?Hugo.Eyherabide@cs.helsinki.fi
%
%?Copyright?（c）?2014?Hugo?Gabriel?Eyherabide?Department?of?Mathematics
%?and?Statistics?Department?of?Computer?Science?and?Helsinki?Institute
%?for?Information?Technology?University?of?Helsinki?Finland.
%?All?rights?reserved.
%
%?Redistribution?and?use?in?source?and?binary?forms?with?or?without
%?modification?are?permitted?provided?that?the?following?conditions
%?are?met:
%
%?1.?Redistributions?of?source?code?must?retain?the?above?copyright
%?notice?this?list?of

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件????????5835??2014-04-23?05:05??ellipsedata3.m
?????文件????????2039??2014-04-23?01:12??license.txt