A differential geometry model for the perceived colors space

Edoardo Provenzi (1)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

The space of perceived colors, before acquiring an industrial interest, has received a systematic theoretical attention from philosophers, physicists and mathematicians. The research about this topic is still active nowadays. In this paper it will be presented a critical overview of a model based of differential geometry proposed by H.L. Resnikoff in 1974. It will be shown that, while some fundamental and elegant ideas behind this model can be still used as a guiding principle, some other parts of the model must be updated to comply with the modern findings about color perception.

Domaines: Traitement du signal et de l'image [eess.SP]; Géométrie différentielle [math.DG]

Edoardo Provenzi. A differential geometry model for the perceived colors space. International Journal of Geometric Methods in Modern Physics, 2016, ⟨10.1142/S0219887816300087⟩. ⟨hal-01339467⟩