Marco Detchart, CedricBustince Sola, HumbertoFernández Fernández, Francisco JavierMesiar, RadkoLafuente López, JulioBarrenechea Tartas, EdurnePintor Borobia, Jesús María2022-02-042022-07-1020211872-680110.1016/j.fss.2020.07.002https://academica-e.unavarra.es/handle/2454/42119In this paper we provide a specific construction method of ordered directionally monotone functions. We show that the functions obtained with this construction method can be used to build edge detectors for grayscale images. We compare the results of these detectors to those obtained with some other ones that are widely used in the literature. Finally, we show how a consensus edge detector can be built improving the results obtained both by our proposal and by those in the literature when applied individually.26 p.application/pdfeng© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0Ordered directionally monotone functionDirectional monotonicityEdge detectionConsensus imageinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess