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Original file (2,506 × 1,967 pixels, file size: 374 KB, MIME type: image/png)

Description Illustration of en:Tubular neighborhood
Source Made with en:Matlab
Author Oleg Alexandrov 03:01, 1 June 2007 (UTC)
Permission
(Reusing this file)
Public domain
 
This diagram was created with MATLAB.
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


Source code (MATLAB)

 

% illustration of tubular neighborhood
function main()

   f=inline('sin(x)', 'x'); % will construct a tubular neighborhood of this curve

   a=0; b=2*pi; N = 100; X = linspace(a, b, N); % consider N points in the interval [a, b]
   Y = f(X); % the curve
   ll = 3; % length of lines perpendicular to the curve
   lls = 0.3; % smaller subsegments
   
   thin_line = 2;
   thick_line = 4;
   
%  will draw lines perpendicular to the graph of Y=f(X) at
%  points separted by length of 'spacing'
   spacing = 0.033;
   M = floor(spacing*N); 

% colors
   red=[0.867 0.06 0.14];
   blue = [0, 129, 205]/256;
   green = [0, 200,  70]/256;
   
   figure(1); clf; hold on; axis equal; axis off;


   % plot the lines
   for k=1:N

	  p = (k-1)*M+2;
	  if p >= N
		 break;
	  end

	  % the normal to the curve at (X(p), Y(p))
	  Normal = [-(Y(p+1)-Y(p-1)), X(p+1)-X(p-1)]; Normal = Normal/norm(Normal);  
	  
	  plot([X(p)-ll*Normal(1), X(p)+ll*Normal(1)], [Y(p)-ll*Normal(2),...
					Y(p)+ll*Normal(2)], 'color', green, 'linewidth', thin_line)

	  plot([X(p)-lls*Normal(1), X(p)+lls*Normal(1)], [Y(p)-lls*Normal(2),...
					Y(p)+lls*Normal(2)], 'color', red, 'linewidth', 0.7*thick_line)

   end

   % plot the curve
   plot(X, Y, 'linewidth', thick_line);
   
   saveas(gcf, 'Tubular_neighborhood.eps', 'psc2')
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Date/TimeThumbnailDimensionsUserComment
current05:01, 2 June 2007Thumbnail for version as of 05:01, 2 June 20072,506 × 1,967 (374 KB)Oleg Alexandrovtweak
03:46, 1 June 2007Thumbnail for version as of 03:46, 1 June 20072,506 × 1,967 (367 KB)Oleg AlexandrovTweak.
03:10, 1 June 2007Thumbnail for version as of 03:10, 1 June 2007626 × 492 (64 KB)Oleg Alexandrov{{Information |Description=Illustration of en:Tubular neighborhood |Source=Made with en:Matlab |Date= |Author= ~~~~ |Permission=Public domain |other_versions= }} {{PD-self}}
03:09, 1 June 2007Thumbnail for version as of 03:09, 1 June 2007626 × 492 (64 KB)Oleg Alexandrov{{Information |Description=Illustration of en:Tubular neighborhood |Source=Made with en:Matlab |Date= |Author= ~~~~ |Permission=Public domain |other_versions= }} {{PD-self}}
03:08, 1 June 2007Thumbnail for version as of 03:08, 1 June 2007626 × 492 (82 KB)Oleg Alexandrov{{Information |Description=Illustration of en:Tubular neighborhood |Source=Made with en:Matlab |Date= |Author= ~~~~ |Permission=Public domain |other_versions= }} {{PD-self}}
03:01, 1 June 2007Thumbnail for version as of 03:01, 1 June 2007626 × 492 (82 KB)Oleg Alexandrov{{Information |Description=Illustration of en:Tubular neighborhood |Source=Made with en:Matlab |Date= |Author= ~~~~ |Permission=Public domain |other_versions= }} {{PD-self}}

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