Image Decomposition using Geometric Region Colour Unmixing

Abstract

In this paper, we propose a new geometric approach for image decomposition which aims to combine the advantages of two state of the art techniques. Given an input image, we first compute a palette of colours from the image and use it to split the RGB space into a number of different regions. Depending on which region a given pixel lies in, different geometric methods are used to unmix the pixel’s colour into a number of colours, where each colour is associated with a different layer. The layers created are smooth and homogeneous in colour, and have no reconstruction error when recombined. Our layer decomposition technique is fast to compute and the layers created can be used successfully in several applications, including layer compositing and recolouring.