The Gaussian process IMSE optimal design is also a competitor to the Latin Hypercube design. This is because it minimizes the integrated mean squared error of the Gaussian process model over the experimental region.
You can compare the IMSE optimal design to the Latin Hypercube (shown previously in Two-factor Latin Hypercube Design). The table and overlay plot in Comparison of Two-factor Latin Hypercube and Gaussian IMSE Optimal Designs show a Gaussian IMSE optimal design. You can see that the design provides uniform coverage of the factor region.