Skip to main content
Erschienen in: Soft Computing 19/2020

27.02.2020 | Methodologies and Application

State-of-the-art fuzzy active contour models for image segmentation

verfasst von: Ajoy Mondal, Kuntal Ghosh

Erschienen in: Soft Computing | Ausgabe 19/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Image segmentation is the initial step for every image analysis task. A large variety of segmentation algorithm has been proposed in the literature during several decades with some mixed success. Among them, the fuzzy energy-based active contour models get attention to the researchers during last decade which results in development of various methods. A good segmentation algorithm should perform well in a large number of images containing noise, blur, low contrast, region in-homogeneity, etc. However, the performances of the most of the existing fuzzy energy-based active contour models have been evaluated typically on the limited number of images. In this article, our aim is to review the existing fuzzy active contour models from the theoretical point of view and also evaluate them experimentally on a large set of images under the various conditions. The analysis under a large variety of images provides objective insight into the strengths and weaknesses of various fuzzy active contour models. Finally, we discuss several issues and future research direction on this particular topic.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Amin F, Fahmi A, Abdullah S (2019) Dealer using a new trapezoidal cubic hesitant fuzzy topsis method and application to group decision-making program. Soft Comput 23(14):5353–5366MATH Amin F, Fahmi A, Abdullah S (2019) Dealer using a new trapezoidal cubic hesitant fuzzy topsis method and application to group decision-making program. Soft Comput 23(14):5353–5366MATH
Zurück zum Zitat Badshah N, Ahmad A (2018) On segmentation of images having multi-regions using Gaussian type Radial basis kernel in fuzzy sets framework. Appl Soft Comput 64:480–496 Badshah N, Ahmad A (2018) On segmentation of images having multi-regions using Gaussian type Radial basis kernel in fuzzy sets framework. Appl Soft Comput 64:480–496
Zurück zum Zitat Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Kluwer Academic Publishers, DordrechtMATH Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Kluwer Academic Publishers, DordrechtMATH
Zurück zum Zitat Cai W, Chen S, Zhang D (2007) Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognit 40(3):825–838MATH Cai W, Chen S, Zhang D (2007) Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognit 40(3):825–838MATH
Zurück zum Zitat Caselles V, Catté F, Coll T, Dibos F (1993) A geometric model for active contours in image processing. Numer Math 66(1):1–31MathSciNetMATH Caselles V, Catté F, Coll T, Dibos F (1993) A geometric model for active contours in image processing. Numer Math 66(1):1–31MathSciNetMATH
Zurück zum Zitat Caselles V, Kimmel R, Sapiro G (1997) Geodesic active contours. Int J Comput Vis 22(1):61–79MATH Caselles V, Kimmel R, Sapiro G (1997) Geodesic active contours. Int J Comput Vis 22(1):61–79MATH
Zurück zum Zitat Chan TF, Vese LA (2001) Active contours without edges. IEEE Trans Image Process 10(2):266–277MATH Chan TF, Vese LA (2001) Active contours without edges. IEEE Trans Image Process 10(2):266–277MATH
Zurück zum Zitat Chen Z, Qiu T, Ruan S (2008) Fuzzy adaptive level set algorithm for brain tissue segmentation. In: International conference on signal processing. IEEE, pp 1047–1050 Chen Z, Qiu T, Ruan S (2008) Fuzzy adaptive level set algorithm for brain tissue segmentation. In: International conference on signal processing. IEEE, pp 1047–1050
Zurück zum Zitat Cohen LD, Kimmel R (1997) Global minimum for active contour models: a minimal path approach. Int J Comput Vis 24(1):57–78 Cohen LD, Kimmel R (1997) Global minimum for active contour models: a minimal path approach. Int J Comput Vis 24(1):57–78
Zurück zum Zitat Cremers D, Rousson M, Deriche R (2007) A review of statistical approaches to level set segmentation: integrating color, texture, motion and shape. Int J Comput Vis 72(2):195–215 Cremers D, Rousson M, Deriche R (2007) A review of statistical approaches to level set segmentation: integrating color, texture, motion and shape. Int J Comput Vis 72(2):195–215
Zurück zum Zitat Dunn JC (1973) A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters, pp 32–57 Dunn JC (1973) A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters, pp 32–57
Zurück zum Zitat Fahmi A, Abdullah S, Amin F, Khan MSA (2019) Trapezoidal cubic fuzzy number einstein hybrid weighted averaging operators and its application to decision making. Soft Comput 23(14):5753–5783MATH Fahmi A, Abdullah S, Amin F, Khan MSA (2019) Trapezoidal cubic fuzzy number einstein hybrid weighted averaging operators and its application to decision making. Soft Comput 23(14):5753–5783MATH
Zurück zum Zitat Fang J, Liu H, Liu H, Zhang L, Liu J (2016) Localized patch-based fuzzy active contours for image segmentation. Comput Math Methods Med 2016:1–14MATH Fang J, Liu H, Liu H, Zhang L, Liu J (2016) Localized patch-based fuzzy active contours for image segmentation. Comput Math Methods Med 2016:1–14MATH
Zurück zum Zitat Fu KS, Mui J (1981) A survey on image segmentation. Pattern Recognit 13(1):3–16MathSciNet Fu KS, Mui J (1981) A survey on image segmentation. Pattern Recognit 13(1):3–16MathSciNet
Zurück zum Zitat Garcia-Lamont F, Cervantes J, López A, Rodriguez L (2018) Segmentation of images by color features: a survey. Neurocomputing 292:1–27 Garcia-Lamont F, Cervantes J, López A, Rodriguez L (2018) Segmentation of images by color features: a survey. Neurocomputing 292:1–27
Zurück zum Zitat Gong M, Liang Y, Shi J, Ma W, Ma J (2013) Fuzzy c-means clustering with local information and kernel metric for image segmentation. IEEE Trans Image Process 22(2):573–584MathSciNetMATH Gong M, Liang Y, Shi J, Ma W, Ma J (2013) Fuzzy c-means clustering with local information and kernel metric for image segmentation. IEEE Trans Image Process 22(2):573–584MathSciNetMATH
Zurück zum Zitat Gong M, Tian D, Su L, Jiao L (2015) An efficient bi-convex fuzzy variational image segmentation method. Inf Sci 293:351–369MATH Gong M, Tian D, Su L, Jiao L (2015) An efficient bi-convex fuzzy variational image segmentation method. Inf Sci 293:351–369MATH
Zurück zum Zitat Gonzalez RF, Woods RE (2008) Digital image processing. Pearson Education, Singapore Gonzalez RF, Woods RE (2008) Digital image processing. Pearson Education, Singapore
Zurück zum Zitat Gunn SR, Nixon MS (1997) A robust Snake implementation; a dual active contour. IEEE Trans Pattern Anal Mach Intell 19(1):63–68 Gunn SR, Nixon MS (1997) A robust Snake implementation; a dual active contour. IEEE Trans Pattern Anal Mach Intell 19(1):63–68
Zurück zum Zitat Kass M, Witkin A, Terzopoulos D (1988) Snakes: active contour models. Int J Comput Vis 1(4):321–331MATH Kass M, Witkin A, Terzopoulos D (1988) Snakes: active contour models. Int J Comput Vis 1(4):321–331MATH
Zurück zum Zitat Khan MW (2014) A survey: image segmentation techniques. Int J Future Comput Commun 3(2):89 Khan MW (2014) A survey: image segmentation techniques. Int J Future Comput Commun 3(2):89
Zurück zum Zitat Krinidis S, Chatzis V (2009) Fuzzy energy-based active contours. IEEE Trans Image Process 18(12):2747–2755MathSciNetMATH Krinidis S, Chatzis V (2009) Fuzzy energy-based active contours. IEEE Trans Image Process 18(12):2747–2755MathSciNetMATH
Zurück zum Zitat Krinidis S, Chatzis V (2010) A robust fuzzy local information c-means clustering algorithm. IEEE Trans Image Process 19(5):1328–1337MathSciNetMATH Krinidis S, Chatzis V (2010) A robust fuzzy local information c-means clustering algorithm. IEEE Trans Image Process 19(5):1328–1337MathSciNetMATH
Zurück zum Zitat Krinidis S, Krinidis M (2012) Fuzzy energy-based active contours exploiting local information. In: International conference on artificial intelligence applications and innovations. Springer, pp 175–184 Krinidis S, Krinidis M (2012) Fuzzy energy-based active contours exploiting local information. In: International conference on artificial intelligence applications and innovations. Springer, pp 175–184
Zurück zum Zitat Lankton S, Tannenbaum A (2008) Localizing region-based active contours. IEEE Trans Image Process 17(11):2029–2039MathSciNetMATH Lankton S, Tannenbaum A (2008) Localizing region-based active contours. IEEE Trans Image Process 17(11):2029–2039MathSciNetMATH
Zurück zum Zitat Lazarevic-McManus N, Renno JR, Makris D, Jones GA (2008) An object-based comparative methodology for motion detection based on the F-measure. Comput Vis Image Underst 111(1):74–85 Lazarevic-McManus N, Renno JR, Makris D, Jones GA (2008) An object-based comparative methodology for motion detection based on the F-measure. Comput Vis Image Underst 111(1):74–85
Zurück zum Zitat Li C, Kao CY, Gore JC, Ding Z (2008) Minimization of region-scalable fitting energy for image segmentation. IEEE Trans Image Process 17(10):1940–1949MathSciNetMATH Li C, Kao CY, Gore JC, Ding Z (2008) Minimization of region-scalable fitting energy for image segmentation. IEEE Trans Image Process 17(10):1940–1949MathSciNetMATH
Zurück zum Zitat Li C, Xu C, Gui C, Fox MD (2010) Distance regularized level set evolution and its application to image segmentation. IEEE Trans Image Process 19(12):3243–3254MathSciNetMATH Li C, Xu C, Gui C, Fox MD (2010) Distance regularized level set evolution and its application to image segmentation. IEEE Trans Image Process 19(12):3243–3254MathSciNetMATH
Zurück zum Zitat Liu G, Zhang Y, Wang A (2015) Incorporating adaptive local information into fuzzy clustering for image segmentation. IEEE Trans Image Process 24(11):3990–4000MathSciNetMATH Liu G, Zhang Y, Wang A (2015) Incorporating adaptive local information into fuzzy clustering for image segmentation. IEEE Trans Image Process 24(11):3990–4000MathSciNetMATH
Zurück zum Zitat Malladi R, Sethian JA, Vemuri BC (1995) Shape modeling with front propagation: a level set approach. IEEE Trans Pattern Anal Mach Intell 17(2):158–175 Malladi R, Sethian JA, Vemuri BC (1995) Shape modeling with front propagation: a level set approach. IEEE Trans Pattern Anal Mach Intell 17(2):158–175
Zurück zum Zitat Melin P (2018) Type-2 fuzzy logic in pattern recognition applications. In: Type-2 fuzzy logic and systems. Springer, pp 89–104 Melin P (2018) Type-2 fuzzy logic in pattern recognition applications. In: Type-2 fuzzy logic and systems. Springer, pp 89–104
Zurück zum Zitat Mitchell HB (2005) Pattern recognition using type-II fuzzy sets. Inf Sci 170(2):409–18 Mitchell HB (2005) Pattern recognition using type-II fuzzy sets. Inf Sci 170(2):409–18
Zurück zum Zitat Mondal A, Ghosh S, Ghosh A (2016) Robust global and local fuzzy energy based active contour for image segmentation. Appl Soft Comput 47:191–215 Mondal A, Ghosh S, Ghosh A (2016) Robust global and local fuzzy energy based active contour for image segmentation. Appl Soft Comput 47:191–215
Zurück zum Zitat Mondal A, Murthy KR, Ghosh A, Ghosh S (2016) Robust image segmentation using global and local fuzzy energy based active contour. In: IEEE international conference on fuzzy systems (FUZZ-IEEE). IEEE, pp 1341–1348 Mondal A, Murthy KR, Ghosh A, Ghosh S (2016) Robust image segmentation using global and local fuzzy energy based active contour. In: IEEE international conference on fuzzy systems (FUZZ-IEEE). IEEE, pp 1341–1348
Zurück zum Zitat Mondal A, Ghosh S, Ghosh A (2017) Partially camouflaged object tracking using modified probabilistic neural network and fuzzy energy based active contour. Int J Comput Vis 122(1):116–148MathSciNet Mondal A, Ghosh S, Ghosh A (2017) Partially camouflaged object tracking using modified probabilistic neural network and fuzzy energy based active contour. Int J Comput Vis 122(1):116–148MathSciNet
Zurück zum Zitat Naz S, Majeed H, Irshad H (2010) Image segmentation using fuzzy clustering: a survey. In: International conference on emerging technologies (ICET). IEEE, pp 181–186 Naz S, Majeed H, Irshad H (2010) Image segmentation using fuzzy clustering: a survey. In: International conference on emerging technologies (ICET). IEEE, pp 181–186
Zurück zum Zitat Nguyen TNA, Cai J, Zhang J, Zheng J (2012) Robust interactive image segmentation using convex active contours. IEEE Trans Image Process 21(8):3734–3743MathSciNetMATH Nguyen TNA, Cai J, Zhang J, Zheng J (2012) Robust interactive image segmentation using convex active contours. IEEE Trans Image Process 21(8):3734–3743MathSciNetMATH
Zurück zum Zitat Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79(1):12–49MathSciNetMATH Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79(1):12–49MathSciNetMATH
Zurück zum Zitat Pal NR, Pal SK (1993) A review on image segmentation techniques. Pattern Recognit 26(9):1277–1294 Pal NR, Pal SK (1993) A review on image segmentation techniques. Pattern Recognit 26(9):1277–1294
Zurück zum Zitat Pereira CL, Bastos CA, Ren TI, Cavalcanti GD (2011) Fuzzy active contour models. In: International conference on fuzzy systems. IEEE, pp 1621–1627 Pereira CL, Bastos CA, Ren TI, Cavalcanti GD (2011) Fuzzy active contour models. In: International conference on fuzzy systems. IEEE, pp 1621–1627
Zurück zum Zitat Pham VT, Tran TT, Shyu KK, Lin C, Wang PC, Lo MT (2016) Shape collaborative representation with fuzzy energy based active contour model. Eng Appl Artif Intell 56:60–74 Pham VT, Tran TT, Shyu KK, Lin C, Wang PC, Lo MT (2016) Shape collaborative representation with fuzzy energy based active contour model. Eng Appl Artif Intell 56:60–74
Zurück zum Zitat Sahoo PK, Soltani S, Wong AK (1988) A survey of thresholding techniques. Comput Vis Graph Image Process 41(2):233–260 Sahoo PK, Soltani S, Wong AK (1988) A survey of thresholding techniques. Comput Vis Graph Image Process 41(2):233–260
Zurück zum Zitat Sajith A, Hariharan S (2016) A region based active contour approach for Liver CT image analysis based on fuzzy energy minimization 7(5):779–785 Sajith A, Hariharan S (2016) A region based active contour approach for Liver CT image analysis based on fuzzy energy minimization 7(5):779–785
Zurück zum Zitat Shyu KK, Pham VT, Tran TT, Lee PL (2012a) Global and local fuzzy energy-based active contours for image segmentation. Nonlinear Dyn 67(2):1559–1578MathSciNetMATH Shyu KK, Pham VT, Tran TT, Lee PL (2012a) Global and local fuzzy energy-based active contours for image segmentation. Nonlinear Dyn 67(2):1559–1578MathSciNetMATH
Zurück zum Zitat Shyu KK, Tran TT, Pham VT, Lee PL, Shang LJ (2012b) Fuzzy distribution fitting energy-based active contours for image segmentation. Nonlinear Dyn 69(1–2):295–312MathSciNetMATH Shyu KK, Tran TT, Pham VT, Lee PL, Shang LJ (2012b) Fuzzy distribution fitting energy-based active contours for image segmentation. Nonlinear Dyn 69(1–2):295–312MathSciNetMATH
Zurück zum Zitat Thieu QT, Luong M, Rocchisani JM, Sirakov NM, Viennet E (2015) Efficient segmentation with the convex local-global fuzzy Gaussian distribution active contour for medical applications. Ann Math Artif Intell 75(12):249–266MathSciNetMATH Thieu QT, Luong M, Rocchisani JM, Sirakov NM, Viennet E (2015) Efficient segmentation with the convex local-global fuzzy Gaussian distribution active contour for medical applications. Ann Math Artif Intell 75(12):249–266MathSciNetMATH
Zurück zum Zitat Tran TT, Pham VT, Shyu KK (2014a) Image segmentation using fuzzy energy-based active contour with shape prior. J Vis Commun Image Represent 25(7):1732–1745 Tran TT, Pham VT, Shyu KK (2014a) Image segmentation using fuzzy energy-based active contour with shape prior. J Vis Commun Image Represent 25(7):1732–1745
Zurück zum Zitat Tran TT, Pham VT, Shyu KK (2014b) Zernike moment and local distribution fitting fuzzy energy-based active contours for image segmentation. SIViP 8(1):11–25 Tran TT, Pham VT, Shyu KK (2014b) Zernike moment and local distribution fitting fuzzy energy-based active contours for image segmentation. SIViP 8(1):11–25
Zurück zum Zitat Wang L, Chang Y, Wang H, Wu Z, Pu J, Yang X (2017) An active contour model based on local fitted images for image segmentation. Inf Sci 418:61–73 Wang L, Chang Y, Wang H, Wu Z, Pu J, Yang X (2017) An active contour model based on local fitted images for image segmentation. Inf Sci 418:61–73
Zurück zum Zitat Wu Y, Ma W, Gong M, Li H, Jiao L (2015) Novel fuzzy active contour model with kernel metric for image segmentation. Appl Soft Comput 34:301–311 Wu Y, Ma W, Gong M, Li H, Jiao L (2015) Novel fuzzy active contour model with kernel metric for image segmentation. Appl Soft Comput 34:301–311
Zurück zum Zitat Yezzi A, Kichenassamy S, Kumar A, Olver P, Tannenbaum A (1997) A geometric Snake model for segmentation of medical imagery. IEEE Trans Med Imaging 16(2):199–209 Yezzi A, Kichenassamy S, Kumar A, Olver P, Tannenbaum A (1997) A geometric Snake model for segmentation of medical imagery. IEEE Trans Med Imaging 16(2):199–209
Zurück zum Zitat Zaitoun NM, Aqel MJ (2015) Survey on image segmentation techniques. Procedia Comput Sci 65:797–806 Zaitoun NM, Aqel MJ (2015) Survey on image segmentation techniques. Procedia Comput Sci 65:797–806
Zurück zum Zitat Zhang H, Fritts JE, Goldman SA (2008) Image segmentation evaluation: a survey of unsupervised methods. Comput Vis Image Underst 110(2):260–280 Zhang H, Fritts JE, Goldman SA (2008) Image segmentation evaluation: a survey of unsupervised methods. Comput Vis Image Underst 110(2):260–280
Zurück zum Zitat Zhang K, Song H, Zhang L (2010a) Active contours driven by local image fitting energy. Pattern Recognit 43(4):1199–1206MATH Zhang K, Song H, Zhang L (2010a) Active contours driven by local image fitting energy. Pattern Recognit 43(4):1199–1206MATH
Zurück zum Zitat Zhang K, Zhang L, Song H, Zhou W (2010b) Active contours with selective local or global segmentation: a new formulation and level set method. Image Vis Comput 28(4):668–676 Zhang K, Zhang L, Song H, Zhou W (2010b) Active contours with selective local or global segmentation: a new formulation and level set method. Image Vis Comput 28(4):668–676
Zurück zum Zitat Zhang X, Sun Y, Wang G, Guo Q, Zhang C, Chen B (2017) Improved fuzzy clustering algorithm with non-local information for image segmentation. Multimed Tools Appl 76(6):7869–7895 Zhang X, Sun Y, Wang G, Guo Q, Zhang C, Chen B (2017) Improved fuzzy clustering algorithm with non-local information for image segmentation. Multimed Tools Appl 76(6):7869–7895
Zurück zum Zitat Zhang K, Zhang L, Lam KM, Zhang D (2013) A local active contour model for image segmentation with intensity inhomogeneity. arXiv preprint arXiv:1305.7053 Zhang K, Zhang L, Lam KM, Zhang D (2013) A local active contour model for image segmentation with intensity inhomogeneity. arXiv preprint arXiv:​1305.​7053
Metadaten
Titel
State-of-the-art fuzzy active contour models for image segmentation
verfasst von
Ajoy Mondal
Kuntal Ghosh
Publikationsdatum
27.02.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 19/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-04794-y

Weitere Artikel der Ausgabe 19/2020

Soft Computing 19/2020 Zur Ausgabe