![]() ![]() The cornea is characterized by its anterior and posterior surfaces. The cornea is one of the most influential optical components of the human eye, being responsible for about two-thirds of the eye’s refractive power. These results indicate that polynomials of a higher degree are required for fitting corneas of patients with corneal ectasia than for normal corneas. The process of fitting the Zernike polynomials to height data for corneal anterior and posterior surfaces is presented and results are shown for normal and pathological corneas. The main objective of the current study is to analyse the accuracy of corneal surface data modelled with Zernike polynomials of various degrees in order to estimate a reasonable number of coefficients. However, utilizing too many coefficients consumes computational power and time and bears the risk of overfitting as a result of including unnecessary components. It is undeniable that a higher number of coefficients reduces the fit error. One of the major challenges facing researchers is finding the appropriate number of Zernike polynomials to model measured data from corneas. Zernike polynomials are often used to characterize and interpret these data. Tomography data of the cornea usually contain useful information for ophthalmologists. # Cartesian coordinates def Zernike_cartesien ( coefficients, x, y ): Z = + coefficients r = np. # polar coordinates def Zernike_polar ( coefficients, r, u ): Z = coefficients Z1 = Z * 1 * ( np. ![]()
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