Comparametric Equations with Practical Applications in Quantigraphic Image Processing (2000)
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@MISC{Mann00comparametricequations,
author = {Steve Mann},
title = {Comparametric Equations with Practical Applications in Quantigraphic Image Processing},
year = {2000}
}
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Abstract
It is argued that, hidden within the flow of signals from typical cameras, through image processing, to display media, is a homomorphic filter. While homomorphic filtering is often desirable, there are some occasions where it is not. Thus, cancellation of this implicit homomorphic filter is proposed, through the introduction of an antihomomorphic filter. This concept gives rise to the principle of quantigraphic image processing, wherein it is argued that most cameras can be modeled as an array of idealized light meters each linearly responsive to a semi-monotonic function of the quantity of light received, integrated over a fixed spectral response profile. This quantity is neither radiometric nor photometric, but, rather, depends only on the spectral response of the sensor elements in the camera. A particular class of functional equations, called comparametric equations, is introduced as a basis for quantigraphic image processing. Comparametric equations are fundamental to the analysis and processing of multiple images differing only in exposure. The well-known "gamma correction" of an image is presented as a simple example of a comparametric equation, for which it is shown that the underlying quantigraphic function does not pass through the origin. For this reason it is argued that exposure adjustment by gamma correction is inherently flawed, and alternatives are provided. These alternatives, when applied to a plurality of images that differ only in exposure, give rise to a new kind of processing in the "amplitude domain" (as opposed to the time domain or the frequency domain). While the theoretical framework presented in this paper originated within the field of wearable cybernetics (wearable photographic apparatus) in the 1970s and early 1980s, it is applicable to th...
Keyphrases
comparametric equation quantigraphic image processing practical application particular class fixed spectral response profile gamma correction well-known gamma correction wearable cybernetics spectral response multiple image wearable photographic apparatus sensor element image processing frequency domain exposure adjustment new kind homomorphic filtering simple example underlying quantigraphic function typical camera functional equation implicit homomorphic filter semi-monotonic function amplitude domain theoretical framework antihomomorphic filter idealized light meter homomorphic filter time domain
