Multi-component image segmentation in homogeneous regions based on description length minimization: Application to speckle, Poisson and Bernoulli noise

In this article, a minimum description length (MDL) criterion adapted to independent multi-component image segmentation into homogeneous regions is proposed. This approach, based on a deformable polygonal grid, allows us to segment noisy multi-component images perturbed with spatially independent speckle, Poisson or Bernoulli noise. The advantages of using such a multi-component approach rather than a mono-component one is demonstrated on synthetic and real images. This segmentation method is also applicable to multi-component images whose components do not follow the same noise statistics or have not been previously registered.