A translational surface is a rational surface generated from two rational space curves by translating one curve along the other curve. In this paper, we utilize matrices to represent translational surfaces, and give necessary and sufficient conditions for a real rational surface to be a translational surface.
"Translational Surfaces." Missouri J. Math. Sci. 30 (2) 140 - 149, November 2018. https://doi.org/10.35834/mjms/1544151691