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Research Article

Mimetic finite difference methods for restoration of fundus images for automatic detection of glaucoma suspects

ORCID Icon, , , ORCID Icon, , & ORCID Icon show all
Pages 492-499 | Received 07 Feb 2020, Accepted 06 Apr 2021, Published online: 26 May 2021

References

  • AAO. date unknown. American Academy of Ophthalmology. Angle-Closure Glaucoma; [accessed 2019 Aug 03]. https://www.aao.org/munnerlyn-laser-surgery-center/angleclosure-glaucoma-19.
  • Aubert G, Kornprobst P. 2006. Mathematical problems in image processing: partial differential equations and the calculus of variations. Vol. 147. Springer Science & Business Media.New York: Springer-Verlag.
  • Batista E, Castillo JE. 2009. Mimetic schemes on non-uniform structured meshes. Electron Trans Numer Anal. 34(1):152–162.
  • Benhamouda B. 1994. Parameter adaptation for nonlinear diffusion in image processing. Department of Mathematics, University of Kaiserslautern. Germany.
  • Bredies K, Lorenz DA. 2018. Mathematical image processing. Birkhäuser (Cham): Applied and Numerical Harmonic Analysis.
  • Calderón G, Carrillo J, Villamizar J, Torres C, Castillo J. 2019. Adaptivity in mimetic difference schemes: one-dimensional transient problems. J Phys Conf Ser. 1159:012019.
  • Carrillo J, Bautista L, Villamizar J, Rueda J, Sanchez M, Rueda D. 2019. Glaucoma detection using fundus images of the eye. In: 2019 XXII Symposium on Image, Signal Processing and Artificial Vision (STSIVA); Bucaramanga, Colombia; Apr. p. 1–4.
  • Castillo J, Grone R. 2003. A matrix analysis approach to higher-order approximations for divergence and gradients satisfying a global conservation law. SIAM J Matrix Anal Appl. 25(1):128–142. doi:10.1137/S0895479801398025.
  • Castillo J, Yasuda M. 2005. Linear systems arising for second-order mimetic divergence and gradient discretizations. J Math Modell Algorithms. 4(1):67–82. doi:10.1007/s10852-004-3523-1.
  • Catté F, Lions PL, Morel JM, Coll T. 1992. Image selective smoothing and edge detection by nonlinear diffusion. SIAM J Numer Anal. 29(1):182–193. doi:10.1137/0729012.
  • IAPB. date unknown. The international agency for the prevention of blindness. Glaucoma; [accessed 2019 Aug 03]. https://www.iapb.org/knowledge/what-is-avoidable-blindness/glaucoma/.
  • Kwon YH, Fingert JH, Kuehn MH, Alward WL. 2009. Primary open-angle glaucoma. N Engl J Med. 11(360):1113–1124. doi:10.1056/NEJMra0804630.
  • Nawaldgi S. 2016. Review of automated glaucoma detection techniques. In: 2016 International Conference on Wireless Communications, Signal Processing and Networking (WiSPNET). Chennai, India: IEEE. p. 1435–1438.
  • Nikam SM, Patil C. 2017. Glaucoma detection from fundus images using matlab gui. In: 2017 3rd International Conference on Advances in Computing, Communication & Automation (ICACCA)(Fall). Dehradun, India: IEEE. p. 1–4.
  • Perona P, Malik J. 1990. Scale-space and edge detection using anisotropic diffusion. IEEE Trans Pattern Anal Mach Intell. 12(7):629–639. doi:10.1109/34.56205.
  • Rueda JC, Lesmes DP, Parra JC, Urrea R, Rey JJ, Rodrguez LA, Wong CA, Galvis V. 2007. Valores de paquimetra en personas sanas y con glaucoma en una población colombiana. MedUNAB. 10(2):81–85.
  • Sapiro G. 2006. Geometric partial differential equations and image analysis. Cambridge: Cambridge university press.
  • Solano Feo F, Guevara Jordan J, Rojas O, Otero B, Rodriguez R. 2016. A new mimetic scheme for the acoustic wave equation. J Comput Appl Math. 295(1):2–12. doi:10.1016/j.cam.2015.09.037.
  • Sundari B, Sivaguru S. 2017. Early detection of glaucoma from fundus images by using matlab gui for diabetic retinopathy. Int J Innovative Res Comput Commun Eng. 5(1):174–181.
  • Weickert J, Romeny BMTH, Viergever MA. 1998. Efficient and reliable schemes for nonlinear diffusion filtering. IEEE Trans Image Process. 7(3):398–410. doi:10.1109/83.661190
  • WHO. date unknown. World Health Organization. Blindness and vision impairment prevention. [accessed 2019 Aug 03]. https://www.who.int/blindness/causes/priority/en/index6.html.

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