Recently I have used a FilterForge filter to generate hyperbolic tiles from images (Lua code with Möbius transform etc. available). If an input image (1 see below) is selected a tile (2) is generated if the hyperbolic parameters (5,3,2) were chosen.  How could this be made with Maple?

I am interested in using conformal maps for image distortion. How can this be made in Maple (an analogy to the ImageForwardTransformation[] in Mathematica, see http://community.wolfram.com/groups/-/m/t/854405?p_p_auth=TLh6kMXL). Thanks!