Making a glass-based article having a coating and a target shape which comprises a planar central portion and a perimeter portion which borders at least part of the planar central portion and extends out of the plane of the planar central portion, the perimeter portion having a perimeter edge and a target edge-to-opposite edge dimension. The method includes forming a glass-based part to provide an initial formed part having an initial three-dimensional shape that is different from the target shape for at least the target edge-to-opposite edge dimension. Applying a coating to the initial formed part to form the glass-based article having a coating, the coating imparting a stress to the initial molded part that causes a calculated, warp-induced change to the initial shape.