title: Morphometric analysis and classification of glaucomatous optic neuropathy using radial polynomials.
abstract: OBJECTIVE
  To quantify the morphological features of the optic nerve head using radial polynomials, to use these morphometric models as the basis for classification of glaucomatous optic neuropathy via an automated decision tree induction algorithm, and to compare these classification results with established procedures.
  
  
  METHODS
  A cohort of patients with high-risk ocular hypertension or early glaucoma (n=179) and a second cohort of normal subjects (n=96) were evaluated for glaucomatous optic neuropathy using stereographic disc photography and confocal scanning laser tomography. Morphological features of the optic nerve head region were modeled from the tomography data using pseudo-Zernike radial polynomials and features derived from these models were used as the basis for classification by a decision tree induction algorithm. Decision tree classification performance was compared with expert classification of stereographic disc photographs and analysis of neural retinal rim thickness by Moorfields Regression Analysis (MRA).
  
  
  RESULTS
  Root mean squared error of the morphometric models decreased asymptotically with additional polynomial coefficients, from 62±0.5 (32 coefficients) to 32±5.7 μm (256 coefficients). Optimal morphometric classification was derived from a subset of 64 total features and had low sensitivity (69%), high specificity (88%), very good accuracy (80%), and area under the receiver operating characteristic curve (AUROC) was 88% (95% confidence interval, 78%-98%). In comparison, MRA classification of the same records had a comparatively poorer sensitivity (55%), but had higher specificity (95%), with similar overall accuracy (78%) and AUROC curve, 83% (95% CI, 70%-96%).
  
  
  CONCLUSIONS
  Pseudo-Zernike radial polynomials provide a mathematically compact and faithful morphological representation of the structural features of the optic nerve head. This morphometric method of glaucomatous optic neuropathy classification has greater sensitivity, and similar overall classification performance (AUROC) when compared with classification by neural retinal rim thickness by MRA in patients with high-risk ocular hypertension and early glaucoma.
authors.affiliation: College of Optometry, University of Houston, Houston, TX 77204-2020, USA. mdtwa@uh.edu
authors.forename: Michael D
authors.initials: MD
authors.lastname: Twa
authors.forename: Srinivasan
authors.initials: S
authors.lastname: Parthasarathy
authors.forename: Chris A
authors.initials: CA
authors.lastname: Johnson
authors.forename: Mark A
authors.initials: MA
authors.lastname: Bullimore
mesh_terms: D000465:Algorithms; D003661:Decision Support Techniques; D005260:Female; D005901:Glaucoma / Q000145:classification*; D006801:Humans; D008297:Male; D018613:Microscopy, Confocal; D008875:Middle Aged; D015233:Models, Statistical; D009798:Ocular Hypertension / Q000145:classification; D009898:Optic Disk / Q000473:pathology*; D009901:Optic Nerve Diseases / Q000145:classification*; D010781:Photography; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity