Incertitudes géospatiales : un gros plan sur les intervalles et les modèles d’interpolation spatiales basées sur la pondération inverse des distances

Processing geospatial data requires to manage many sources of uncertainties ; some appear in classical inference problems, some others are specific to this setting. This paper studies the management of these uncertainties via standard intervals and sets when the inference model considered relies on inverse distance weighting. We provide a general discussion with examples, together with a study of the associated optimisation problems induced by different sources of uncertainty. We conclude the paper by an illustration on a semi-synthetic use case, generated according to data recorded via real studies.