Fourier-domain correlation approaches have been successful in a variety of imagecomparison approaches. However, these correlation approaches also lose performance when patterns, objects or scenes in images are distorted. Current Fourier correlation approaches also require high-power in order to produce accurate results. With our approach we utilize Fourier-domain preprocessing with shallow neural networks to infer the 3-D movement or position of the camera relative to an object or scene. This approach enables us to demonstrate potential for novel Fourier-plane cameras, which use sequential frames for visual odometry. We also propose a potential future study for a hybrid vision “event camera” system capable of position inference by using an optical encoder imaged in the Fourier-plane.