Computer-mediated reality refers to the ability to add to, subtract information from, or otherwise manipulate one's perception of reality through the use of a wearable computer or hand-held device such as a smart phone.
Typically, it is the user's visual perception of the environment that is mediated. This is done through the use of some kind of electronic device, such as an EyeTap device or smart phone, which can act as a visual filter between the real world and what the user perceives.
Computer-mediated reality has been used to enhance visual perception as an aid to the visually impaired. This example achieves a mediated reality by altering a video input stream light that would have normally reached the user's eyes, and computationally altering it to filter it into a more useful form.
The use of computer-mediated reality to diminish perception, by the removal or masking of visual data, has been used for architectural applications, and is an area of ongoing research (see for instance, here and here)
Mediated Reality as a seeing aid
In the 1970s and 1980s, Steve Mann introduced the Generation-1 and Generation-2 "Digital Eye Glass", initially as a vision aid to help people see better, as a welding helmet, and as a general-purpose seeing aid for everyday life as outlined in IEEE Technology & Society 31(3) and the supplemental material entitled "GlassEyes".
In this sense Mediated Reality is a proper superset of Mixed Reality, Augmented Reality, and Virtual Reality, as it also includes, for example, Diminished Reality.
One common window manager in mediated reality is the "Reality Window Manager" 
Wireless mediated reality
Bluetooth devices are often used with mediated reality
With wireless communications, mediated reality can also become a communications medium among different communities
With the use of EyeTap, such interaction is called "seeing eye-to-eye"
Applications of mediated reality include devices that help people see better, as well as devices for gaming and equipment repair, telemedicine, remote expert advice interfaces, and wayfinding. Mediated reality is also used in robotics and drawing applications such as the "Loose and Sketchy" drawing package
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- A magical welding helmet that lets you see the world in HDR–in real-time
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- Mediated Reality Bluetooth Device Locator by S Parikh et al., IEEE CSIDC 2002
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- Daniel Suarez: Daemon: Bot-mediated Reality (discussion of Mediated and Augmented Reality, bots, etc.)
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- Mediated Reality with implementations for everyday life, Presence Connect, MIT Press journal PRESENCE: Teleoperators and Virtual Environments, Date Posted: 2002 August 6
- EyeTap.org Mediated Reality Research
- Mediated Reality based on the VideoOrbits head tracker
- Diminished Reality example to show something where Mediated Reality is definitely a proper superset of Augmented Reality