Given a colour image whose light intensity is dim at the edges and bright in the middle, such as [dim bright dim], which computer vision technique would be recommended to correct this imbalance?

While I believe Histogram Equalisation could help, I've read that it also introduces an unrealistic look to an image by exaggerating the blue channel.

If you know of a suitable method (or methods) I'd appreciate some recommended resources / articles which can help me go about to implement an image processor for this task.