An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders

Peter Sussner; Lisbeth Corbacho Carazas

An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders

Research output: Chapter in Book/Report › Conference contribution › peer-review

5 Scopus citations

Abstract

Edge detection is an important step for preprocessing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infinite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based on the incorrect assumption that there is no uncertainty regarding the pixel values of the given digital image. The approaches presented in this paper do not rely on this assumption. Instead, the uncertainty regarding the pixel values is modelled in terms of an interval-valued image. After an application of an interval-valued fuzzy dilation and erosion, we are able to produce a binary edge image after a number of steps including an order-preserving transformation based on an admissible order.

Original language	American English
Title of host publication	Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
Editors	Vilem Novak, Vladimir Marik, Martin Stepnicka, Mirko Navara, Petr Hurtik
Publisher	Atlantis Press
Pages	690-697
Number of pages	8
ISBN (Electronic)	9789462527706
State	Indexed - 2020
Externally published	Yes
Event	11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019 - Prague, Czech Republic Duration: 9 Sep 2019 → 13 Sep 2019

Publication series

Name	Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019

Conference

Conference	11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
Country/Territory	Czech Republic
City	Prague
Period	9/09/19 → 13/09/19

Bibliographical note

Publisher Copyright:
Copyright © 2019, the Authors. Published by Atlantis Press. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Keywords

Admissible order
Image edge detection
Interval-valued fuzzy mathematical morphology
Morphological gradient

Cite this

Sussner, P., & Carazas, L. C. (2020). An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders. In V. Novak, V. Marik, M. Stepnicka, M. Navara, & P. Hurtik (Eds.), Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019 (pp. 690-697). (Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019). Atlantis Press.

Sussner, Peter ; Carazas, Lisbeth Corbacho. / An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders. Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. editor / Vilem Novak ; Vladimir Marik ; Martin Stepnicka ; Mirko Navara ; Petr Hurtik. Atlantis Press, 2020. pp. 690-697 (Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019).

@inproceedings{964509b2ec114e6d81d6fbaff5d98bde,

title = "An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders",

abstract = "Edge detection is an important step for preprocessing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infinite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based on the incorrect assumption that there is no uncertainty regarding the pixel values of the given digital image. The approaches presented in this paper do not rely on this assumption. Instead, the uncertainty regarding the pixel values is modelled in terms of an interval-valued image. After an application of an interval-valued fuzzy dilation and erosion, we are able to produce a binary edge image after a number of steps including an order-preserving transformation based on an admissible order.",

keywords = "Admissible order, Image edge detection, Interval-valued fuzzy mathematical morphology, Morphological gradient",

author = "Peter Sussner and Carazas, \{Lisbeth Corbacho\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2019, the Authors. Published by Atlantis Press. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).; 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019 ; Conference date: 09-09-2019 Through 13-09-2019",

year = "2020",

language = "American English",

series = "Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019",

publisher = "Atlantis Press",

pages = "690--697",

editor = "Vilem Novak and Vladimir Marik and Martin Stepnicka and Mirko Navara and Petr Hurtik",

booktitle = "Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019",

address = "Netherlands",

}

Sussner, P & Carazas, LC 2020, An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders. in V Novak, V Marik, M Stepnicka, M Navara & P Hurtik (eds), Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019, Atlantis Press, pp. 690-697, 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019, Prague, Czech Republic, 9/09/19.

An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders. / Sussner, Peter; Carazas, Lisbeth Corbacho.
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. ed. / Vilem Novak; Vladimir Marik; Martin Stepnicka; Mirko Navara; Petr Hurtik. Atlantis Press, 2020. p. 690-697 (Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019).

Research output: Chapter in Book/Report › Conference contribution › peer-review

TY - GEN

T1 - An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders

AU - Sussner, Peter

AU - Carazas, Lisbeth Corbacho

PY - 2020

Y1 - 2020

N2 - Edge detection is an important step for preprocessing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infinite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based on the incorrect assumption that there is no uncertainty regarding the pixel values of the given digital image. The approaches presented in this paper do not rely on this assumption. Instead, the uncertainty regarding the pixel values is modelled in terms of an interval-valued image. After an application of an interval-valued fuzzy dilation and erosion, we are able to produce a binary edge image after a number of steps including an order-preserving transformation based on an admissible order.

AB - Edge detection is an important step for preprocessing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infinite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based on the incorrect assumption that there is no uncertainty regarding the pixel values of the given digital image. The approaches presented in this paper do not rely on this assumption. Instead, the uncertainty regarding the pixel values is modelled in terms of an interval-valued image. After an application of an interval-valued fuzzy dilation and erosion, we are able to produce a binary edge image after a number of steps including an order-preserving transformation based on an admissible order.

KW - Admissible order

KW - Image edge detection

KW - Interval-valued fuzzy mathematical morphology

KW - Morphological gradient

UR - https://www.scopus.com/pages/publications/85090918966

M3 - Conference contribution

AN - SCOPUS:85090918966

T3 - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019

SP - 690

EP - 697

BT - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019

A2 - Novak, Vilem

A2 - Marik, Vladimir

A2 - Stepnicka, Martin

A2 - Navara, Mirko

A2 - Hurtik, Petr

PB - Atlantis Press

T2 - 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019

Y2 - 9 September 2019 through 13 September 2019

ER -

Sussner P, Carazas LC. An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders. In Novak V, Marik V, Stepnicka M, Navara M, Hurtik P, editors, Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. Atlantis Press. 2020. p. 690-697. (Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019).

An approach towards image edge detection based on interval-valued fuzzy mathematical morphology and admissible orders

Abstract

Publication series

Conference

Bibliographical note

Keywords

Fingerprint

Cite this