*Post by Jack Campin*https://www.sciencedaily.com/releases/2017/06/170616102155.htm

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Jack Campin, 11 Third Street, Newtongrange, Midlothian EH22 4PU, Scotland

mobile 07895 860 060 <http://www.campin.me.uk> Twitter: JackCampin

it seems similar to the case of the four color theorem.

but my you help me with one simple question?

are the functions:

f_x(x,y)=h+a*x+b*y+c*xy

f_y(x,y)=g+d*x+e*y+f*xy

always describing a homography for most choices of parameters

i mean only for the special case of 2d mapping of planes

and when you create a 2d polygon out of four mapped points by a homography

first interpolating the resulting coordinates on the edges and then on the horizontal line connecting them will construct the homography given by the mapping of the four points. Of course you do interpolation three times linear.

Remeber, this is all about 2d, 4 point polygons and their mapping from one plane to another over a given homography.

can you represent them linke this in most cases?