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| Keywords: Parzen window illustration.png Done by myself with Matlab en wikipedia 2005-01-12 Oleg Alexandrov wikipedia en Parzen window illustration svg Created with MATLAB Source code MATLAB <source lang matlab > function main thickness1 1 5; thickness2 0 8; arrowsize 15; arrow_type 2; zsigma 0 5; fs 10; rad 0 04; gaussian with mean zero variance zsigma f inline 'exp -x 2/2/zsigma /zsigma/sqrt 2 pi ' ; sample of points from the population Sample -2 1 -1 3 -0 4 1 9 5 1 6 2; scale 1; a min Sample -2 5; b max Sample +2 5; h 0 1; X a h b; clf; hold on; small 0 2; axis equal; axis off Y X 0; for i 1 length Sample Y Y+f X-Sample i zsigma ; H plot X f X-Sample i zsigma 'linewidth' thickness2 'color' 1 0 0 'LineStyle' '--' ; end Y Y/scale; plot X Y 'linewidth' thickness1 marrow a 0 b+0 2 0 thickness2 arrowsize pi/8 arrow_type 0 0 0 for i 1 length Sample H text Sample i -0 2 sprintf ' 2 2g' Sample i ; set H 'fontsize' fs 'HorizontalAlignment' 'center' ; ball Sample i 0 rad 0 0 1 ; end saveas gcf 'Parzen_window_illustration eps' 'psc2' function ball x y r color Theta 0 0 1 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y color ; set H 'EdgeColor' color ; function marrow start stop thickness arrowsize sharpness arrow_type color draw a line with an arrow at the end start is the x y point where the line starts stop is the x y point where the line stops thickness is an optional parameter giving the thickness of the lines arrowsize is an optional argument that will give the size of the arrow It is assumed that the axis limits are already set 0 < sharpness < pi/4 determines how sharp to make the arrow arrow_type draws the arrow in different styles Values are 0 1 2 3 8/4/93 Jeffery Faneuff Copyright c 1988-93 by the MathWorks Inc Modified by Oleg Alexandrov 2/16/03 if nargin < 6 color 0 0 0; the default arrow it looks like this -> end if nargin < 5 arrow_type 0; the default arrow it looks like this -> end if nargin < 4 sharpness pi/4; the arrow sharpness - default pi/4 end if nargin< 3 xl get gca 'xlim' ; yl get gca 'ylim' ; xd xl 2 -xl 1 ; yd yl 2 -yl 1 ; arrowsize xd + yd / 2; this sets the default arrow size end if nargin< 2 thickness 0 5; default thickness end xdif stop 1 - start 1 ; ydif stop 2 - start 2 ; if xdif 0 if ydif >0 theta pi/2; else theta -pi/2; end else theta atan ydif/xdif ; the angle has to point according to the slope end if xdif> 0 arrowsize -arrowsize; end if arrow_type 0 draw the arrow like two sticks originating from its vertex xx start 1 stop 1 stop 1 +0 02 arrowsize cos theta+sharpness NaN stop 1 stop 1 +0 02 arrowsize cos theta-sharpness ; yy start 2 stop 2 stop 2 +0 02 arrowsize sin theta+sharpness NaN stop 2 stop 2 +0 02 arrowsize sin theta-sharpness ; plot xx yy 'LineWidth' thickness 'color' color end if arrow_type 1 draw the arrow like an empty triangle xx stop 1 stop 1 +0 02 arrowsize cos theta+sharpness stop 1 +0 02 arrowsize cos theta-sharpness ; xx xx xx 1 xx 2 ; yy stop 2 stop 2 +0 02 arrowsize sin theta+sharpness stop 2 +0 02 arrowsize sin theta-sharpness ; yy yy yy 1 yy 2 ; plot xx yy 'LineWidth' thickness 'color' color plot the arrow stick plot start 1 stop 1 +0 02 arrowsize cos theta cos sharpness start 2 stop 2 + 0 02 arrowsize sin theta cos sharpness 'LineWidth' thickness 'color' color end if arrow_type 2 draw the arrow like a full triangle xx stop 1 stop 1 +0 02 arrowsize cos theta+sharpness stop 1 +0 02 arrowsize cos theta-sharpness stop 1 ; yy stop 2 stop 2 +0 02 arrowsize sin theta+sharpness stop 2 +0 02 arrowsize sin theta-sharpness stop 2 ; fill xx yy color fill with black plot the arrow stick plot start 1 stop 1 +0 01 arrowsize cos theta start 2 stop 2 + 0 01 arrowsize sin theta 'LineWidth' thickness 'color' color end if arrow_type 3 draw the arrow like a filled 'curvilinear' triangle curvature 0 5; change here to make the curved part more curved or less curved radius 0 02 arrowsize max curvature tan sharpness ; x1 stop 1 +0 02 arrowsize cos theta+sharpness ; y1 stop 2 +0 02 arrowsize sin theta+sharpness ; x2 stop 1 +0 02 arrowsize cos theta cos sharpness ; y2 stop 2 +0 02 arrowsize sin theta cos sharpness ; d1 sqrt x1-x2 2+ y1-y2 2 ; d2 sqrt radius 2-d1 2 ; d3 sqrt stop 1 -x2 2+ stop 2 -y2 2 ; center 1 stop 1 + d2+d3 cos theta ; center 2 stop 2 + d2+d3 sin theta ; alpha atan d1/d2 ; Alpha -alpha 0 05 alpha; xx center 1 -radius cos Alpha+theta ; yy center 2 -radius sin Alpha+theta ; xx xx stop 1 xx 1 ; yy yy stop 2 yy 1 ; fill xx yy color fill with black plot the arrow stick plot start 1 center 1 -radius cos theta start 2 center 2 - radius sin theta 'LineWidth' thickness 'color' color ; end </source> Original upload log page en wikipedia Parzen_window_illustration png 2005-01-12 00 13 Oleg Alexandrov 635×103×8 13338 bytes <nowiki>Done by myself with Matlab PD </nowiki> Images with Matlab source code Probability and statistics Files by User Oleg Alexandrov from en wikipedia | ||||
