  This paper defines constrained functional similarity between 2-D trajectories
via minimizing the H1 semi-norm of the difference between the trajectories. An
exact general solution is obtained for the case wherein the components of the
trajectories are mesh-functions defined on a uniform mesh and the imposed
constraints are linear. Various examples are presented, one of which features
application to mechanics and two-point boundary value problems. A MATLAB code
is given for the solution of one of the examples. The code could easily be
adjusted to other cases.
