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.