In the film “Milk”, the murder of San Francisco mayor George Moscone was filmed from the reflection off a curved mirror hanging on the wall of the mayor’s office. This type of mirror, convex in shape, is seen often in stores or airports or wherever for surveillance. An early appearance of this type of mirror in Art is one depicted in the Early Netherlandish artist Johannes Van Eyck’s painting of a couple, “The Arnolfini Marriage”. The mirror itself occupies just a small portion of the painting, but is used in a clever way. There’s a good Wikipedia article
about it.
This article includes a 6 megapixel capture of the painting, which you can download and inspect in any image viewing software, perhaps zooming in on the mirror and the inscription on the wall above the mirror. To grab the image off the Wikipedia page, with Windows, right-click on the image and choose “Save Picture As…”. I don’t know Macs – maybe you just Will It To Happen with those.
Convex mirrors like these always give an upright image. Concave mirrors, as are found commonly in astronomical telescopes like the Hubble or an amateur’s Newtonian Reflector, are trickier. In telescopes, there is always a second optical element, usually a glass lens. Women’s makeup mirrors are also concave. The image one gets from these depends on the ratio of the distance of the object (say a woman’s face) from the mirror, divided by the radius of curvature of the mirror. If this ratio is less than 0.5, the image will be upright. If the ratio is greater than 0.5, the image is inverted. There are of course formulas for the magnification, again as a function of this ratio.
Simple astronomical telescopes, using just two optical elements, have a concave mirror with parabolic shape, in fact this is very important. When the Hubble telescope first went up in the early 1990s, after the Space Shuttle had placed it into orbit and returned to Earth, NASA opened the front flap of the telescope and took a picture and it was very blurry. The specifications for the mirror had been hand-copied, erroneously, by someone, and the company which manufactured the mirror, Perkin-Elmer, had decided to save a million dollars and not build a test rig for it. So, a few years later, NASA sent up another shuttle with a very nicely figured special lens to insert in the optical path of the telescope to correct the aberration and got fantastic images afterwards. In the intervening years, decent but not exceptional images were obtained by using mathematical algorithms (Deconvolution) on the images sent down from Hubble.
In maybe 5 years, mathematical algorithms like Deconvolution, but fancier, will be paired with multiple image sensing pixel arrays in digital cameras for the consumer, to allow taking a picture without worrying much about focusing the picture at all, or worrying about a background object being out of focus while a foreground object is in focus. The file from the camera will go into special software, like Photoshop, where the user can turn a software knob or slide a slider, and bring any desired part of the image into focus. The main company developing this technology is Refocus Imaging, which has a nice demo of this capability on their web site;
http://www.refocusimaging.com/about/
This same technology will greatly lessen the demands on the optical quality of the optical elements in the camera, namely the lenses, so great photographs, with perfect focus, will come from perhaps cheaper cameras.