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| View Original: | Volume under surface.png (636x762) | |||
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| Keywords: Volume under surface.png Illustration of volume under a surface double integral self-made with MATLAB 03 15 30 December 2007 UTC Oleg Alexandrov Source code MATLAB <source lang matlab > illustration of the volume under a surface function main L 5; box size N 100; number of points in a lot of places lw 2; width of lines alphatop 1; transparency alphaside 0 82; alphabot 0 8; bluetop 0 1 0 8; blueside 0 2 0 9 0 8; bluetop; 0 0 1; bluebot 0 5 0 5 0 5; bluetop; 0 0 1; black 0 0 0; the function whose surface we will plot f inline '10- x 2-y 2 /8' 'x' 'y' ; XX linspace -L L N ; YY XX; X Y meshgrid XX YY ; Z f X Y ; the surface of the side XS XX 0 XX+L invert_vector XX 0 XX-L; YS 0 XX-L YY 0 XX+L invert_vector YY ; XS XS' XS; YS YS' YS; ZS 0 XS; ZS 2 f XS 2 YS 2 ; the contour of the bottom XD -L L L -L -L; YD -L -L L L -L; ZD XD 0; prepare figure 1 for plotting figure 1 ; clf; hold on; axis equal; axis off; plot the function u surf X Y Z 'FaceColor' bluetop 'EdgeColor' 'none' 'FaceAlpha' alphatop ; top surf X Y 0 Z 'FaceColor' bluebot 'EdgeColor' 'none' 'FaceAlpha' alphabot ; bottom surf XS YS ZS 'FaceColor' blueside 'EdgeColor' 'none' 'FaceAlpha' alphaside ; sides phi -68; theta 28; view phi theta ; camlight headlight; lighting phong; make nice lightning print '-dpng' '-r200' 'Volume_under_surface png' save to file function Z invert_vector X N length X ; Z X; for i 1 N Z i X N-i+1 ; end </source> math Volumina Files by User Oleg Alexandrov from en wikipedia Images with Matlab source code math | ||||
