From: mbernat@gel.ulaval.ca (Marc Bernatchez)
Subject: Re: TECH: HMD quality
Date: Fri, 06 Oct 95 21:03:23 GMT
Organization: dep. de Genie electrique


From: mbernat@gel.ulaval.ca (Marc Bernatchez)

Hi all,

	To continue the discussion regarding some of the content of my
article HMD resolution analysis , here are some results from tests I
made. For those who fear numbers, stop right here.

After Mr. Robin Hollands showed me his concern about some possible flaws in 
the way I computed some values regarding the global quality factor, I decided 
to do some tests on numbers to see what would happen. In particular, I wanted 
to see if indeed the numbers obtained were staying in the permitted range. 

I found that, indeed, for some unrealistic values, the Fqt result could be 
negatives. To solve that I applied a step function (all negatives values are 
made zero) to the final Fqt column. Note that values in the partial global 
quality factor column such as Fprice, Ffov and Fhar can be negative. This will 
prevent that an hypothetical HMD with a FOV of 180 degrees and a LCD raw pixel 
count of 1 pixel could rank around 25% !

What follows is a table of all the cases I tried with the equations I use.

note: 
FOV = field of view (in degrees)
raw LCD pixel = number of horizontal color pixels on the LCD
har = horizontal angular resolution (in arc minutes per pixel)
Fqt = global quality factor (in %)

FOV    |    raw LCD pixel   |   har     |    $       |      Fqt  |  error case
------------------------------------------------------------------------------
Limits test cases:
0                1               0           1              64%          X
1                1              60           1               0%
180              1             10800         1               0%
180            1000             10.8         1              82%
180            1E+10           near 0        1            near 100%

Possible cases:
180            9000             1.2        10,000           75%
180            1024            10.54       10,000           60%
100            1024             5.9         3,000           55%
100            1024             5.9           800           58%
60             1024             3.5           800           54%
60              640             5.6           800           51%
30              250             7.2           800           42%

As you can see, the Fqt does give the right indication as global quality of an 
HMD goes. To get the maximum from these information, you must consider the Fqt 
rank in the context where it will always be valid (for several years to come 
at least). So a 75% rank doesn't mean that this HMD is at 75% of the maximum 
quality currently achievable technologically speaking. It rather means that 
this HMD match the human maximal specifications for FOV and har and, all this, 
considering the price. I admit price is a bit of a problem. Currently, all the 
three considered points counts for 33.3% of the overall evaluation. Robin also 
showed is concern about the fact that har and FOV are not independent 
variables, and thus compromising the validity of the calculations. I admit 
it's true but it is the only way to put a percentage level for pixel density 
and FOV. We can't predict what will be the raw pixel count in five or ten 
years from here, so it's impossible to chose what would correspond to 100% as 
raw pixels count goes.

To summarize, the difference between Fqt percents doesn't really matter. What 
do matter is that one HMD as a higher Fqt rank than an other one, regardless 
of the amount. It's up to the reader to chose what is the most important 
factor for him (i.e. price, FOV or har) then consider the Fqt of those HMDs 
who are in the desired range.

I will certainly continue to add more factor in the calculation in the future 
but I still think that, despite it is hard to evaluate human factors, such an 
evaluation is justified. I also think that it gives a good but incomplete 
evaluation of HMDs strength. As long as I'm concerned, the rank in the 
evaluation on my web page do represent the subjective rank I had attributed to 
most of these HMDs prior to the day I made the global factor calculations. I 
would like to know if other people feel the same way or have different views. 
So as I always say, please feel free to send me your comments (negative or 
positive) to the E-mail bellow.

Regards,

== Marc Bernatchez         =                    E-MAIL                  ==
== C.O.P.L.(GEL plt-00307) =            mbernat@gel.ulaval.ca           ==
== Dep. Genie electrique   =                      or                    ==
== Universite LAVAL        =         marc.bernatchez@gel.ulaval.ca      ==
== Quebec, Canada          ===============================================
== G1K 7P4                 = Virtual Reality is the future of computers ==
== fax: (418) 656-3159     = http://www.gel.ulaval.ca/~mbernat          ==

