On a class of vessel-like contours generated by the modified Bonder's function (Q1332461)

The authors construct a conformal mapping (the modified Bonder's function) in order to transform conformally the exterior of two circles onto the exterior of a couple of profiles symmetrical with respect to the origin of coordinates. Then the domain bounded by the real axis and one of the profiles is mapped onto the exterior of the vessel-like contour. Varying four parameters that appear in Bonder's modified function, one constructs an inverse method for obtaining vessel-like contours.