A. Langenbucher et al., ELLIPSOIDAL FITTING OF CORNEAL TOPOGRAPHY DATA AFTER ARCUATE KERATOTOMIES WITH COMPRESSION SUTURES, Ophthalmic surgery, 29(9), 1998, pp. 738-748
BACKGROUND AND OBJECTIVE: After paired arcuate keratotomies and compre
ssion sutures (AK) for treatment of high postkeratoplasty astigmatism,
corneal topography tends to be irregular The purpose of this study wa
s to demonstrate a mathematical method for approximation of discrete c
orneal topography power data with an ellipsoid for better appreciation
of the clinical outcome after AK. PATIENTS AND METHODS: Thirty-one ey
es of 28 consecutive patients who underwent AK for excessive postkerat
oplasty astigmatism were studied. Regular keratometry, corneal topogra
phy (TMS-I), subjective refraction, and best-corrected visual acuity (
VA) were assessed preoperatively and at 1 week and 1 rear postoperativ
ely. A simplex algorithm was applied for fitting an ellipsoidal surfac
e to raw corneal topography power data. A set of parameters (meridiona
l power, axis, and asphericity) were calculated. The cylinder of subje
ctive refraction was correlated with the keratometric readings, the si
mulated keratometry (SimK) of the topography system, and the respectiv
e parameters of the model surface. RESULTS: Keratometric astigmatism a
nd the cylinder of the model surface decreased from 8.1 +/- 3.2 and 7.
9 +/- 2.9 D preoperatively to 4.5 +/- 2.1 and 5.3 +/- 2.0 D after I ye
ar, respectively The asphericity in both meridional cross sections cha
nged from a prolate ellipse preoperatively to an ablate ellipse at the
early postoperative follow-up stage. Regarding the cylinder axis, the
re was a significant correlation of the model surface with the refract
ive cylinder at all examinations (P<.05), whereas there was no signifi
cant correlation of the SimK axis and the refractive cylinder axis. CO
NCLUSION: The approximation of corneal topography power data with an e
llipsoidal model surface renders reconstruction of clinically relevant
corneal topography parameters, including corneal asphericity with a m
arked data compression. Even in markedly irregular corneal surfaces, s
uch as after AK, the correlation of amount/axis of refractive cylinder
with the model surface parameters is more accurate than it is with re
spective SimK values of corneal topography analysis.