Hello everybody!


I’ll provide the summary of my research and have questions within the
summary. I would appreciate any of your help!



My research investigates if HDRI technique can precisely capture luminances
of small bright light sources (e.g. LED garage fixtures) with narrow light
distributions.



I was able to figure out luminance values for a single LED, which can be
compared to the ones from HDR images. But I have a couple of
questions/concerns on HDRI technique and Photosphere.



At first, I’ve used “regular” scene to retrieve response curve of the
camera (large smooth gradients with very dark and bright areas, and had
reflectance standards for the absolute calibration).

Camera: EOS T1i Rebel with 28-105mm lens, at 28mm

Calibrated at the grey reflectance sample 186.45 cd/m2

CF=0.957

*
*

I’ve got the following RC for RGB:

red(r) = -6.434199e-03+ 4.518039e-01*r + 1.291426e+00*r^2 + 1.802896e+00
*r^3;

green(g) = -5.804720e-03+ 4.175837e-01*g + 1.176582e+00*g^2 + 1.721643e+00
*g^3;

blue(b) = -4.376831e-03+ 3.784418e-01*b + 1.075695e+00*b^2 + 1.658471e+00
*b^3



If I look at the histogram of the scene, maximum luminance within the scene
is 60,291 cd/m2.



Then I use this RC to analyze HDRI of a captured LED. The value is 230,000
cd/m2 for a single LED, which is low (it’s has to be around 7*106 cd/m2).
So, it underestimates the luminance.



It seems like calibration point is critical here. I’ve decided to try to
capture a different scene for deriving RC with a wider range. It would make
sense that camera has to see higher luminance values in order to accurately
measure them later. The dynamic range has to cover measured values.

1.   1. How does Photosphere deals/approximates/calculates the upper end of
the curve? I assume it gives more weight to mid tone values? But what
happens with high luminance values?



So, the new brighter scene was picked with the direct sun! But in order to
avoid the damage of the camera’s sensor, measurements were taken before the
sunset.



In the new brighter captured scene without the calibration all values for
reflectance standards were overestimated, while the value for the sun
underestimated. Then I decided to calibrate my scene at the sun!

But when I apply absolute calibration, it simply multiplies CF to all
values.

2.     I assumed when CF is applied, it does not equally change all values,
but does it proportionally to RC (since it is not linear).  Why does it do
it equally for the whole range?

Lsun=80*106 cd/m2. And of course CF is very big 391.



New RC:

red(r) = 3.219064e+00+ -2.655078e+01*r + 9.351069e+02*r^2 + -2.115052e+03
*r^3+1.594538e+03*r^4;

green(g) = 2.094164e+00+ -1.468109e+00*g + 7.306838e+02*g^2 + -1.720743e+03
*g^3+1.380693e+03*g^4;

blue(b) = 1.049078e+00+ 1.591820e+01*b + 5.848958e+02*b^2 + -1.461635e+03
*b^3+1.251033e+03*b^4



But then something interesting happened. When I analyze LED, it gives a
value of 79*106 cd/m2. So, it jumps to this upper limit calibrated with the
sun previously.

(I had similar results for EOS 7D with the lens 16-35mm, at 16mm)

3.     Does photosphere compress the response curve, so at the upper end
all values above certain threshold will have the same number?

4.     Any additional suggestions on properly obtaining and calibrating
HDRI for this purpose?

-- 
Thank you,
*Yulia Tyukhova*
*
*
Fulbright Scholar, "Intern LC"
Architectural Engineering Graduate Student, UNL-Omaha, NE, USA
B.E. and M.E. in Lighting Engineering (MPEI), Moscow, Russia
[email protected]
[email protected]
+1 (402) 996 0910
PKI 247
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