Title
Robust model order selection for corneal height data based on τ estimation
Abstract
Corneal height data, typically measured with a videokeratoscope, is modeled as a set of Zernike polynomials. Accurate corneal modeling is important, e.g. prior to surgery. The measurements require a good quality of the pre-corneal tear film and sufficiently wide eyelid aperture, which is not always fulfilled in practice. This results in missing values or outliers in the corneal topography map. We suggest to treat this problem by a new two step model selection procedure and introduce a criterion based on r-estimation, which is simultaneously statistically robust and efficient. For this, we exploit the asymptotic equivalence of τ-estimation to M-estimation. The performance is evaluated using simulations, as well as real data.
Year
DOI
Venue
2011
10.1109/ICASSP.2011.5947253
ICASSP
Keywords
Field
DocType
eye,fast-τ-estimator,corneal topography map,zernike polynomials,robust model order selection,corneal height data,eyelid aperture,data analysis,m-estimation,estimation theory,physiological models,vision,precorneal tear film,modeling of corneal topography,robust akaike's information criterion,surgery,τ-estimation,polynomials,noise,data model,computational modeling,computer model,surfaces,data models,missing values,model selection,robustness
Data modeling,Zernike polynomials,Robustness (computer science),Artificial intelligence,Estimation theory,Missing data,Computer vision,Pattern recognition,Algorithm,Model selection,Outlier,Corneal topography,Mathematics
Conference
ISSN
ISBN
Citations 
1520-6149 E-ISBN : 978-1-4577-0537-3
978-1-4577-0537-3
1
PageRank 
References 
Authors
0.46
2
2
Name
Order
Citations
PageRank
Michael Muma114419.51
Abdelhak M. Zoubir21036148.03