TECHNOLOGICAL BASIS OF “INDUSTRY 4.0”
CONSTRAINED SIMILARITY OF SURFACES BY MINIMIZING THE L2 NORM OF THE GRADIENT OF THE SURFACE DIFFERENCE
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.