Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

Morphological bilateral filtering

Jesus Angulo 1, * 
Abstract : A current challenging topic in mathematical morphology is the construction of locally adaptive operators; i.e., structuring functions that are dependent on the input image itself at each position. Development of spatially-variant filtering is well established in the theory and practice of Gaussian filtering. The aim of the first part of the paper is to study how to generalize these convolution-based approaches in order to introduce adaptive nonlinear filters that asymptotically correspond to spatially-variant morphological dilation and erosion. In particular, starting from the bilateral filtering framework and using the notion of counter-harmonic mean, our goal is to propose a new low complexity approach to define spatially-variant bilateral structuring functions. Then, in the second part of the paper, an original formulation of spatially-variant flat morphological filters is proposed, where the adaptive structuring elements are obtained by thresholding the bilateral structuring functions. The methodological results of the paper are illustrated with various comparative examples.
Document type :
Journal articles
Complete list of metadata

Cited literature [58 references]  Display  Hide  Download
Contributor : Jesus Angulo Connect in order to contact the contributor
Submitted on : Saturday, October 26, 2013 - 3:21:36 PM
Last modification on : Wednesday, November 17, 2021 - 12:27:12 PM
Long-term archiving on: : Monday, January 27, 2014 - 2:12:01 PM


Files produced by the author(s)



Jesus Angulo. Morphological bilateral filtering. SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, 2013, 6 (3), pp.1790-1822. ⟨10.1137/110844258⟩. ⟨hal-00789160v2⟩



Record views


Files downloads