# Conformal Transplantation of Lightness to Varying Resolution Sensors

## Abstract:

Many standard computer vision algorithms depend upon the solution of
Poisson equations, retinex lightness computation being one such
algorithm. Using lightness as an example, we show how it can be
computed on a varying resolution sensor so long as the sensor
architecture is based on a conformal mapping. We develop the varying
resolution lightness algorithm by the well known technique of using a
conformal transplant. In the final analysis, very little of the
algorithm needs to be changed, but a speed up in running time of
roughly 50 times is obtained even though the total data is reduced by
only a factor of 28.

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