Ver el código de «Level sets of a scalar field»

[[Archivo:levelsets.jpg|400px|thumb|right|Level sets of a scalar function]]

We show how to visualize level sets of scalar fields on plane regions with Octave UPM. We focus on the example in [[Dibujar un sólido 2-D]], i.e. the rectangle <math> [-1/2,1/2]\times [0,2]</math> and the scalar field <math> f(x,y)=-\log (0.1+\sqrt{x^2+y^2})</math>. We follow the steps:

# We introduce a sampling of the two segments with a suitable step
# With meshgrid command we define two matrixes with the x and y coordenates of the mesh points
# Compute the scalar field in the grid points.
# We use the contour command to draw the field and adjunst the axis. We see the picture from the top.  

==  MATLAB code  ==
{{matlab|codigo=
x=-0.5:0.1:0.5;       % sampling of the interval [-1/2,1/2]
y=0:0.1:2;            % sampling of the interval [0,2]
[xx,yy]=meshgrid(x,y); % matrixes of x and y coordinates
figure(1)
f=-log(0.1+sqrt(xx.^2+yy.^2)); % The scalar field
contour(xx,yy,f)       % Draw the level sets
hold on                % We draw the boundary below
plot(x,x-x,'k','linewidth',1);
plot(x,2+x-x,'k','linewidth',1);
plot(-0.5+y-y,y,'k','linewidth',1);
plot(0.5+y-y,y,'k','linewidth',1);
axis([-2,2,-1,3])      % select region for drawing
view(2)                % See the pisture from the top
colorbar               % Include colorbar
}}

==  To go further  ==

[[Mesh of a parametrized 2-D solid]]

[[Visualization of a scalar field in a solid]]

[[Visualization of vector fields in a solid]]

[[Dibujar un sólido 2-D]]

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