An image is modified for display on a rigid curved wearable display device. Positioning data is received from position sensors on the rigid curved wearable display device. The position sensors provide positioning data that describe, in real time, a physical three-dimensional orientation of the rigid curved wearable display device relative to a field of vision of a wearer of the rigid curved wearable display device. The position sensors further determine a present viewable area of the exterior display surface based on the physical three-dimensional orientation of the rigid curved wearable display device relative to the field of vision of the wearer. An image on the present viewable area is modified based on the physical three-dimensional orientation of the rigid curved wearable display device relative to the field of vision of the wearer, thus generating a modified image that is displayed on a predefined area of the exterior display surface.