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3D plotting

3D plotting. Recap 2D plotting. plot( x,y ): given sequence of x and y values, connects the dots (x( i ),y( i )) Exercise: Plot a circle >>t= linspace (0,2*pi,100); >>plot( cos (t),sin(t)). Plot3: Plotting curves in 3D.

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3D plotting

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  1. 3D plotting

  2. Recap 2D plotting • plot(x,y): given sequence of x and y values, connects the dots (x(i),y(i)) • Exercise: Plot a circle >>t=linspace(0,2*pi,100); >>plot(cos(t),sin(t))

  3. Plot3: Plotting curves in 3D • plot3(x,y,z): Given a sequence of x,y,z values connects the 3d dots (x(i),y(i),z(i)) • Exercise: plot a cylindrical spiral. For a cylindrical spiral • x=cos(t), y=sin(t), z=t >>t=linspace(0,8*pi,500); >>x=cos(t); >>y=sin(t); >>z=t; >>plot3(x,y,z,’o-’);

  4. Exercise • Plot a conical spiral. For a conical spiral • x=t cos(t), y=t sin(t), z=t

  5. surf: Plotting surfaces in 3D • Load the elevation.mat from Assignment3 • surf(map) plots the function map(i,j) vsj,I • Connects the dots by rectangular patches • (j, i, h(i,j)) (j+1, i, h(i,j+1)) • (j, i+1, h(j,i+1) (j+1,i+1, h(i+1,j+1))

  6. Plotting z(x,y) vsx,y • Plot z=x^2+y^2 vsx,y • [X,Y]=meshgrid(x,y) returns the cartesian product of the vectors x,y. >>x=linspace(-5,5,100); >>y=linspace(-3,3,50); >>[X,Y]=meshgrid(x,y); >>surf(X,Y,X.^2+Y.^2);

  7. Exercise • Plot the gaussian function. Its coordinates are given by • z=exp(-(x^2+y^2)/2) • Assume x,y lie between -5 and 5 • Plot a unit sphere. Its coordinates are given by the equation • x=cos(t)*cos(p), y=cos(t)*sin(p), z=sin(t) • where –pi/2<= t <=pi/2 and 0<=p<=2*pi

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