The book reviews recent findings on rogue waves and presents solutions to the rogue wave formation, using several methods: the Darboux and
bilinear transformations, algebra-geometric reduction, and inverse scattering and similarity transformations.
The object-texture transformation may be as simple as an affine or bilinear transformation when the texture is to be mapped orthogonally onto a planar quadrilateral.
To avoid such discontinuities for quadrilaterals, one might try using a bilinear transformation rather than a linear one to interpolate the texture coordinates.