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A bilateral schema for interval-valued image differentiation

Carlos Lopez-Molina, Cédric Marco-Detchart, Laura De Miguel, Humberto Bustince, Javier Fernandez and Bernard De Baets UGent (2016) IEEE International Fuzzy Systems Conference Proceedings. p.516-523
abstract
Differentiation of interval-valued functions is an intricate problem, since it cannot be defined as a direct generalization of differentiation of scalar ones. Literature on interval arithmetic contains proposals and definitions for differentiation, but their semantic is unclear for the cases in which intervals represent the ambiguity due to hesitancy or lack of knowledge. In this work we analyze the needs, tools and goals for interval-valued differentiation, focusing on the case of interval-valued images. This leads to the formulation of a differentiation schema inspired by bilateral filters, which allows for the accommodation of most of the methods for scalar image differentiation, but also takes support from interval-valued arithmetic. This schema can produce area-, segment-and vector-valued gradients, according to the needs of the image processing task it is applied to. Our developments are put to the test in the context of edge detection.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
EDGE-DETECTION, ANISOTROPIC DIFFUSION, FUZZY-LOGIC, COMPRESSION, MORPHOLOGY
in
IEEE International Fuzzy Systems Conference Proceedings
issue title
2016 IEEE International conference on fuzzy systems (FUZZ-IEEE)
pages
516 - 523
publisher
IEEE
place of publication
New York, NY, USA
conference name
2016 IEEE International conference on Fuzzy Systems (FUZZ-IEEE)
conference location
Vancouver, BC, Canada
conference start
2016-07-24
conference end
2016-07-29
Web of Science type
Proceedings Paper
Web of Science id
000392150700071
ISSN
1544-5615
ISBN
9781509006267
9781509006250
DOI
10.1109/fuzz-ieee.2016.7737730
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
8553266
handle
http://hdl.handle.net/1854/LU-8553266
date created
2018-03-05 14:57:24
date last changed
2018-05-17 14:51:03
@inproceedings{8553266,
  abstract     = {Differentiation of interval-valued functions is an intricate problem, since it cannot be defined as a direct generalization of differentiation of scalar ones. Literature on interval arithmetic contains proposals and definitions for differentiation, but their semantic is unclear for the cases in which intervals represent the ambiguity due to hesitancy or lack of knowledge. In this work we analyze the needs, tools and goals for interval-valued differentiation, focusing on the case of interval-valued images. This leads to the formulation of a differentiation schema inspired by bilateral filters, which allows for the accommodation of most of the methods for scalar image differentiation, but also takes support from interval-valued arithmetic. This schema can produce area-, segment-and vector-valued gradients, according to the needs of the image processing task it is applied to. Our developments are put to the test in the context of edge detection.},
  author       = {Lopez-Molina, Carlos and Marco-Detchart, C{\'e}dric and De Miguel, Laura and Bustince, Humberto and Fernandez, Javier and De Baets, Bernard},
  booktitle    = {IEEE International Fuzzy Systems Conference Proceedings},
  isbn         = {9781509006267},
  issn         = {1544-5615},
  keyword      = {EDGE-DETECTION,ANISOTROPIC DIFFUSION,FUZZY-LOGIC,COMPRESSION,MORPHOLOGY},
  language     = {eng},
  location     = {Vancouver, BC, Canada},
  pages        = {516--523},
  publisher    = {IEEE},
  title        = {A bilateral schema for interval-valued image differentiation},
  url          = {http://dx.doi.org/10.1109/fuzz-ieee.2016.7737730},
  year         = {2016},
}

Chicago
Lopez-Molina, Carlos, Cédric Marco-Detchart, Laura De Miguel, Humberto Bustince, Javier Fernandez, and Bernard De Baets. 2016. “A Bilateral Schema for Interval-valued Image Differentiation.” In IEEE International Fuzzy Systems Conference Proceedings, 516–523. New York, NY, USA: IEEE.
APA
Lopez-Molina, Carlos, Marco-Detchart, C., De Miguel, L., Bustince, H., Fernandez, J., & De Baets, B. (2016). A bilateral schema for interval-valued image differentiation. IEEE International Fuzzy Systems Conference Proceedings (pp. 516–523). Presented at the 2016 IEEE International conference on Fuzzy Systems (FUZZ-IEEE), New York, NY, USA: IEEE.
Vancouver
1.
Lopez-Molina C, Marco-Detchart C, De Miguel L, Bustince H, Fernandez J, De Baets B. A bilateral schema for interval-valued image differentiation. IEEE International Fuzzy Systems Conference Proceedings. New York, NY, USA: IEEE; 2016. p. 516–23.
MLA
Lopez-Molina, Carlos, Cédric Marco-Detchart, Laura De Miguel, et al. “A Bilateral Schema for Interval-valued Image Differentiation.” IEEE International Fuzzy Systems Conference Proceedings. New York, NY, USA: IEEE, 2016. 516–523. Print.