International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

This paper defines constrained similarity between surfaces via minimizing the L² norm of the gradient of the difference between the surfaces. An exact general solution is obtained for the case wherein the surfaces are given as mesh-functions defined on a uniform mesh and the imposed constraints are linear. Various examples are presented as well as a MATLAB code for the solution of one of the examples. The code could be adjusted to other cases.