IMAGECF Complex Field Visualization (amplitude, phase)

Imaging Complex Field with a corresponding color wheel Also applicable to visualization of a 2D vector field

This function provides a visualization tool of complex functions and 2D-real vector field.
IMAGECF(Z)
IMAGECF(Z,Zmax)
IMAGECF(X+iY,Z)
IMAGECF(X+iY,Z,Zmax)
IMAGECF(ax,___)
IMAGECF(ax,ax2,___) ax for the main image, ax2 for the color wheel plot
IMAGECF(___, option) color of zero. 'w'-white 'k'-black
h = IMAGECF(___);

Example1>
[x,y] = meshgrid(-2:.1:2);
z = x + 1i*y;
imagecf(x+1i*y, z.^2+1,1,'k');

Example2> Mapping real 2D vector field
[x,y] = meshgrid(-2:.1:2);
vx = -y;
vy = x;
imagecf(x+1i*y, vx+1i*vy);

New Features and Tips:
- Now, the tooltip shows the corresponding complex value of the current location
- The color wheel plot no longer takes a huge memory space.
- This function returns a handle of a Surface object. Try h.FaceColor = 'interp' or 'flat' if you are not satisfied with the current setting of h.FaceColor = 'texturemap'
- The real part of the complex field is stored in 'ZData', and the imaginary part is stored in 'UserData'. Try h.ZData and h.UserData to access them.