An ink pressure modulation method is presented in a direct-to-shape printing system for applying images on the exterior of an axially symmetrical media object that has a contoured, varying exterior surface, such as occurs on curved wine bottles and sports equipment like bats. The method varies ink pressures based on the movement positions of each print head as they move over the surface of the media object. A movement-based formula is presented to allow for continuous updating of pressures in ink tank manifolds to allow independent changes in pressure to each inkjet print head during printing.