Are there any python libraries that will let me plot z = f(x,y) where z is represented as the color in a densely rasterized image (as opposed to the color of a bunch of scatterplot points) ? If so, what function do I use?

It looks like some of the contour functions in matplotlib.pyplot come close to what I want, but they draw contour lines and I don't want that.

here's a concrete simple example (works also for functions which can't take matrix arguments for `x`

and `y`

):

```
# the function to be plotted
def func(x,y):
# gives vertical color bars if x is horizontal axis
return x
import pylab
# define the grid over which the function should be plotted (xx and yy are matrices)
xx, yy = pylab.meshgrid(
pylab.linspace(-3,3, 101),
pylab.linspace(-3,3, 111))
# indexing of xx and yy (with the default value for the
# 'indexing' parameter of meshgrid(..) ) is as follows:
#
# first index (row index) is y coordinate index
# second index (column index) is x coordinate index
#
# as required by pcolor(..)
# fill a matrix with the function values
zz = pylab.zeros(xx.shape)
for i in range(xx.shape[0]):
for j in range(xx.shape[1]):
zz[i,j] = func(xx[i,j], yy[i,j])
# plot the calculated function values
pylab.pcolor(xx,yy,zz)
# and a color bar to show the correspondence between function value and color
pylab.colorbar()
pylab.show()
```

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