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Volumetric slice plot
slice(V,sx,sy,sz)
slice(X,Y,Z,V,sx,sy,sz)
slice(V,XI,YI,ZI)
slice(X,Y,Z,V,XI,YI,ZI)
slice(...,'method')
slice(axes_handle,...)
h = slice(...)
slice displays orthogonal slice planes through volumetric data.
slice(V,sx,sy,sz) draws slices along the x, y, z directions in the volume V at the points in the vectors sx, sy, and sz. V is an m-by-n-by-p volume array containing data values at the default location X = 1:n, Y = 1:m, Z = 1:p. Each element in the vectors sx, sy, and sz defines a slice plane in the x-, y-, or z-axis direction.
slice(X,Y,Z,V,sx,sy,sz) draws slices of the volume V. X, Y, and Z are three-dimensional arrays specifying the coordinates for V. X, Y, and Z must be monotonic and orthogonally spaced (as if produced by the function meshgrid). The color at each point is determined by 3-D interpolation into the volume V.
slice(V,XI,YI,ZI) draws data in the volume V for the slices defined by XI, YI, and ZI. XI, YI, and ZI are matrices that define a surface, and the volume is evaluated at the surface points. XI, YI, and ZI must all be the same size.
slice(X,Y,Z,V,XI,YI,ZI) draws slices through the volume V along the surface defined by the arrays XI, YI, ZI.
slice(...,'method') specifies the interpolation method. 'method' is 'linear', 'cubic', or 'nearest'.
linear specifies trilinear interpolation (the default).
cubic specifies tricubic interpolation.
nearest specifies nearest-neighbor interpolation.
slice(axes_handle,...) plots into the axes with the handle axes_handle instead of into the current axes object (gca). The axes clim property is set to span the finite values of V.
h = slice(...) returns a vector of handles to surface graphics objects.
Visualize the function
$$v=x{e}^{\left(-{x}^{2}-{y}^{2}-{z}^{2}\right)}$$
over the range –2 ≤ x ≤ 2, –2 ≤y ≤2, – 2 ≤ z ≤2:
[x,y,z] = meshgrid(-2:.2:2,-2:.25:2,-2:.16:2); v = x.*exp(-x.^2-y.^2-z.^2); xslice = [-1.2,.8,2]; yslice = 2; zslice = [-2,0]; slice(x,y,z,v,xslice,yslice,zslice) colormap hsv
You can also create slices that are oriented in arbitrary planes. To do this,
Create a slice surface in the domain of the volume (surf, linspace).
Orient this surface with respect to the axes (rotate).
Use this data to draw the slice plane within the volume.
For example, these statements slice the volume in the first example with a rotated plane. Placing these commands within a for loop "passes" the plane through the volume along the z-axis.
[x,y,z] = meshgrid(-2:.2:2,-2:.25:2,-2:.16:2); v = x.*exp(-x.^2-y.^2-z.^2); figure colormap hsv for k = -2:.05:2 hsp = surf(linspace(-2,2,20),linspace(-2,2,20),... zeros(20) + k); rotate(hsp,[1,-1,1],30) xd = hsp.XData; yd = hsp.YData; zd = hsp.ZData; delete(hsp) slice(x,y,z,v,[-2,2],2,-2) % Draw some volume boundaries hold on slice(x,y,z,v,xd,yd,zd) hold off view(-5,10) axis([-2.5 2.5 -2 2 -2 4]) drawnow end
The following picture illustrates three positions of the same slice surface as it passes through the volume.
You can slice the volume with any surface. This example probes the volume created in the previous example by passing a spherical slice surface through the volume.
[xsp,ysp,zsp] = sphere; slice(x,y,z,v,[-2,2],2,-2) colormap hsv for i = -3:.2:3 hsp = surface(xsp+i,ysp,zsp); rotate(hsp,[1 0 0],90) xd = hsp.XData; yd = hsp.YData; zd = hsp.ZData; delete(hsp) hold on hslicer = slice(x,y,z,v,xd,yd,zd); axis tight xlim([-3,3]) view(-10,35) drawnow delete(hslicer) hold off end
The following picture illustrates three positions of the spherical slice surface as it passes through the volume.