Non-stationary hyperspectral forward model and high-resolution

Ralph Abi-Rizk (1) , François Orieux (1, 2) , Alain Abergel (3)

1 L2S - Laboratoire des signaux et systèmes
2 Université Paris-Saclay
3 IAS - Institut d'astrophysique spatiale

We present in this work a forward model for an Integral Field Unit (IFU) instrument. Our model is general but primarily developed for the Mid Resolution Spectrometer of the Mid In-frared Instrument on board the James Webb Space Telescope (JWST). It takes a 3D spatio-spectral object as input and produces a set of 2D projected data with multiple detectors of different characteristics. However, these 2D outputs suffer from non-stationary spatial and spectral blurring, as well as under-sampling. Our first contribution is the development of the forward model in order to simulate data and the second is the use of this model to reconstruct a full 3D hyperspectral image from the projected measurements. This problem is ill-posed and we propose an algorithm based on the regularized least-square approach with convex edge-preserving regularization. We show on the simulation that our proposed model and algorithm allow a better reconstruction than the state of the art algorithm, thanks to spatial and spectral deconvolutions and denoising.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Traitement du signal et de l'image [eess.SP]; Applications [stat.AP]

Ralph Abi-Rizk, François Orieux, Alain Abergel. Non-stationary hyperspectral forward model and high-resolution. IEEE International Conference on Image Processing 2020 (ICIP 2020), Oct 2020, Abu-Dhabi, United Arab Emirates. ⟨10.1109/icip40778.2020.9190681⟩. ⟨hal-02773302⟩