Closed Form Solution and Statistical Performance Analyses for Regularized Least Squares Estimation of Retinal Oxygen Tension

  • Gokhan GunayEmail author
  • Isa Yildirim
Conference paper


For improved estimation of oxygen tension in retinal blood vessels, regularization of least squares estimation method was proposed earlier and it was shown to be very effective. However, closed form solutions for the estimation, and bias and variance of the estimator were not provided and comprehensive statistical analyses were not done. In this chapter, we derive the closed form solution for the regularized least squares estimation, bias and variance of the regularized least squares estimator and with the help of the closed form solutions, statistical performance analyses of the estimator are realized for different values of estimation parameters.


Closed form solution Least squares estimation Phosphorescence lifetime imaging Regularized estimation Retinal oxygen tension Statistical performance analysis 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Electrical and Electronics EngineeringBozok UniversityYozgatTurkey
  2. 2.Department of Electrical and Electronics EngineeringIstanbul Technical UniversityIstanbulTurkey
  3. 3.Master of Engineering DepartmentUniversity of IllinoisChicagoUSA

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