Anisotropic diffusion in the hypercube

Denoising of hyperspectral images in the domain of imaging spectroscopy by vectorial anisotropic diffusion is addressed. Anisotropic diffusion has shown to be a powerful denoising technique with many applications in several fields of image processing, and in the recent years, some significant advances have been published. However, these had not yet been specifically adapted to hyperspectral imagery. This paper reviews recent advances in anisotropic diffusion for multivalued images, analyzes their application to hyperspectral images, and proposes a new diffusion method which takes advantage of the recent improvements and conforms to the specificities of hyperspectral remote sensing. Some examples are provided using both a noisy image and a clean image with added noise.