The technology disclosed relates to enhancing the fields of view of one or more cameras of a gesture recognition system for augmenting the three-dimensional (3D) sensory space of the gesture recognition system. The augmented 3D sensory space allows for inclusion of previously uncaptured of regions and points for which gestures can be interpreted i.e. blind spots of the cameras of the gesture recognition system. Some examples of such blind spots include areas underneath the cameras and/or within 20-85 degrees of a tangential axis of the cameras. In particular, the technology disclosed uses a Fresnel prismatic element and/or a triangular prism element to redirect the optical axis of the cameras, giving the cameras fields of view that cover at least 45 to 80 degrees from tangential to the vertical axis of a display screen on which the cameras are mounted.