This paper is concerned with the derivation of a progression of shadow-free image representations. First we show that adopting certain assumptions about lights and cameras leads to a 1-d, grey-scale image representation which is illuminant invariant at each image pixel. We show that as a consequence, images represented in this form are shadow-free. We then extend this 1-d representation to an equivalent 2-d, chromaticity representation. We show that in this 2-d representation, it is possible to re-light all the image pixels in the same way, effectively deriving a 2-d image representation which is additionally shadow-free. Finally, we show how to recover a 3-d, full colour shadow-free image representation by first (with the help of the 2-d representation) identifying shadow edges. We then remove shadow edges from the edge-map of the original image by edge in-painting, and we propose a method to re-integrate this thresholded edge map, thus deriving the sought-after 3-d shadow-free image.

On the Removal of Shadows From Images.pdf

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