Half my face is curved and much less defined. I am a model this is important for my career (Photo)

I think the main feature that is making your face asymmetric is your jawline. Your left jaw angle is less defined (more rounded) than the right one. This makes a curve from the left jaw angle to the chin rather than more more angular right jawline. You also have a bit of a weaker chin. Chin augmentation and jaw angle augmentation would be helpful at improving your facial proportions, symmetry and angularity.

Everyone has some degree of facial asymmetry.  You do have some asymmetry which can be treated.  You have a smaller jaw (mandibular angle) on one side which can be enhanced with Radiesse for a quick, easy treatment.  You would also benefit from filler to the chin or a chin implant as your chin is a bit weak.  See someone with much experience in facial aesthetics for best, most natural results.

Your observation is correct in that almost all persons have one side of the face which is 'stronger' than the opposite side. Typically the right side is more narrow and more vertical in the ramus / jaw angle and the cheekbone can be slightly higher as well. The left side is more " curved" as you put it because it is sloped forward. You can alter the contours but obtaining ideal symmetry is unusual. Augmentation or defining the contours is possible but you have to accept certain restrictions.