Curved mirrors also take getting used to, but I doubt it has ever been shown that the number of errors people make because of using curved mirrors is larger than the number of errors people make while using regular mirrors.
These kinds of rules get introduced because someone thinks "this makes sense", other people reading it think "this makes sense" and nobody with enough actual knowledge about the subject, who cares enough and has enough lobbying power, goes "now wait a second, this is not right".
I don't condemn anyone for taking decisions based on what seems to make sense, when the stakes aren't very high and in the absence of anyone telling them otherwise. We can't expect decisionmakers to be experts in everything and we can't expect them to hire experts for every little detail. As long as things get changed when the facts are presented, I'm not complaining.
I'm even more interested in the number of errors people make from curved mirrors compared to the number of errors people make from having no mirrors at all (regarding the blind spot area)
Whatever, at least regulations have mellowed out a bit from the days when you were supposed to have someone walking a ways ahead of you to warn people a car was approaching.
It's been a while since I have not driven a car that has a flat mirror near side (cost cuts and relative driver position makes far side less of a problem. Still, they're often not exactly flat either).
Cars here (Europe) generally have an improved version, as the linear radius was giving too much of a fisheye, which breaks depth linearity. The improved version starts with a quasi-flat mirror for the 2/3rd near the car, while the remainder has an increasing radius (Here's a shot [0]). The result is (when properly seated and mirrors set up) basically enough for the passing car to pop up at the edge of my field of vision when it disappears from the mirror.
[0] http://www.cleanmpg.com/photos/data/523/2007_Civic_iCDTi_Hat...
The question that he has to worry about with the patents is whether or not his 2008 paper was published before or after the non-US patents were applied for. If I'm not mistaken, the US has a one year grace period between public display (publishing an academic paper) and filing for a patent. Whereas Europe et al. do not have a grace period.
http://patft.uspto.gov/netacgi/nph-Parser?Sect1=PTO1&Sec...
You will find that the ultimate filing date is Feb. 2007, and that multiple publications by Dr. Hicks were cited in the "Other References" area.
The most common type of mirror on the driver's side in new cars seems to be one which has a flat part (to show objects in their "true size") and a curved part at (to show a wider field of view).
1: http://patentscope.wipo.int/search/en/detail.jsf?docId=WO200...
However it seems to me that there is a bit of basic math at work here. The more you fit into a mirror of the same size, the smaller the objects will appear and the further away they will look. That strikes me as a very basic premise and I don't think you can get away from that so easily.
I would prefer cameras, but I am not sure if they are still not legal in the US.
Hicks noted that, in reality, the mirror does not look like a disco ball up close. There are tens of thousands of such calculations to produce a mirror that has a smooth, nonuniform curve.
I imagine "tens of thousands of such calculations" is newspaper code for integration.
If someone assigned me the task of making such a mirror, I would start by treating the mirror like a monitor displaying a 3D scene, and calculate the vectors necessary to project a 45 degree view onto the surface of the mirror (i.e. start with a virtual camera behind the mirror such that it has a 45 degree field of view). I would then adjust those vectors so that the image will look like such a projection when seen by a viewer a few feet up and to the right, with the mirror occupying ~15 degrees of the viewer's FOV.
In other words, everything I need to know I learned from video games.
It's actually amazing that it took a physicist/mathematician to think of this thing. I doubt I would have come up with the idea. It goes to show how domain knowledge shapes your perception of the world.
Because of these regulations, Hicks's mirrors will not be installed on new cars sold in the U.S. any time soon. The mirror may be manufactured and sold as an aftermarket product that drivers and mechanics can install on cars after purchase. Some countries in Europe and Asia do allow slightly curved mirrors on new cars. Hicks has received interest from investors and manufacturers who may pursue opportunities to license and produce the mirror.