Contact lenses incorporate power profiles that minimize visual acuity variation for progressing myopes based upon minimization of the variation of neural sharpness image quality over a specific time period. The contact lens includes a center and at least one peripheral zone surrounding the center and having a different dioptric power than at the center. The lens has power profile selected from the group consisting of a power profile with spherical aberration, a multifocal power profile, a freeform power profile, and a segmented freeform power profile. The power profile is based on an initial paraxial power of a myopia progressor and a defined myopia progression rate over a specific time period, resulting in controlled change of the neural sharpness, thereby minimizing changes in changes in visual acuity at a beginning of the time period and at an end of the time period.