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Absolute Raw Data

In the previous article we determined that the three $r_{_L}g_{_L}b_{_L}$ values recorded in the raw data in the center of the image plane in units of Data Numbers per pixel – by a digital camera and lens as a function of absolute spectral radiance $L(\lambda)$ at the lens – can be estimated as follows:

(1) $\begin{equation*} r_{_L}g_{_L}b_{_L} =\frac{\pi p^2 t}{4N^2} \int\limits_{380}^{780}L(\lambda) \odot SSF_{rgb}(\lambda) d\lambda \end{equation*}$

with subscript $_L$ indicating absolute-referred units and $SSF_{rgb}$ the three system Spectral Sensitivity Functions. In this series of articles $\odot$ is wavelength by wavelength multiplication (what happens to the spectrum of light as it progresses through the imaging system) and the integral just means the area under each of the three resulting curves (integration is what the pixels do during exposure). Together they represent an inner or dot product. All variables in front of the integral were previously described and can be considered constant for a given photographic setup. Continue reading Connecting Photographic Raw Data to Tristimulus Color Science →

We understand from the previous article that rendering color with Adobe DNG raw conversion essentially means mapping raw data in the form of $rgb$ triplets into a standard color space via a Profile Connection Space in a two step process

$Raw Data \rightarrow XYZ_{D50} \rightarrow RGB_{standard}$

The first step white balances and demosaics the raw data, which at that stage we will refer to as $rgb$ , followed by converting it to $XYZ_{D50}$ Profile Connection Space through linear projection by an unknown ‘Forward Matrix’ (as DNG calls it) of the form

(1) $\begin{equation*} \left[ \begin{array}{c} X_{D50} \\ Y_{D50} \\ Z_{D50} \end{array} \right] = \begin{bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{bmatrix} \left[ \begin{array}{c} r \\ g \\ b \end{array} \right] \end{equation*}$

with data as column-vectors in a 3xN array. Determining the nine $a$ coefficients of this matrix $M$ is the main subject of this article^[1]. Continue reading Color: Determining a Forward Matrix for Your Camera →

Musings about Photography