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Using Zernike Polynomials to Model the Cornea

Birefringent properties of the human cornea in vivo : towards a new model of corneal structure

Birefringent properties of the human cornea in vivo : towards a new model of corneal structure

... In Chapter 6 EPB is tested on a physical model and its results are interpreted. In Chapter 7 EPB is used on human subjects in vivo and verifies previous published findings relating to corneal retardation, ...

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Some properties of the fractional circle Zernike polynomials

Some properties of the fractional circle Zernike polynomials

... The cornea is the major refracting component of the human eye, contributing approximately two thirds of the eye optical ...the Zernike polynomials are the standard functions for the description of ...

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Optimal designs for statistical analysis with Zernike polynomials

Optimal designs for statistical analysis with Zernike polynomials

... the Zernike re- gression model can be calculated by standard software such as Mathematica or Matlab and some D-optimal designs are given in Table ...

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Optimal designs for statistical analysis with Zernike polynomials

Optimal designs for statistical analysis with Zernike polynomials

... the corresponding vector of parameters. Note that there appear (d + 1)(d + 2)/2 Zernike polyno- mials in the regression model (3.1). In the present section an approximate design is a probability measure, ...

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An inline surface measurement method for membrane mirror fabrication using two-stage trained Zernike polynomials and elitist teaching–learning-based optimization

An inline surface measurement method for membrane mirror fabrication using two-stage trained Zernike polynomials and elitist teaching–learning-based optimization

... the model structure is determined, the coefficient of each model basis can be optimized using the aforementioned ...eters model of the expected mirror surface obtained by the two-stage ...

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Presbyopic correction on the cornea

Presbyopic correction on the cornea

... Ortiz et al. [10] characterized the optical quality by the Strehl ratio, the spot size on the retina, and objective decimal visual acuity calculated based on measured cor- neal topography using Fresnel propagation ...

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Filter-generating system of Zernike polynomials

Filter-generating system of Zernike polynomials

... 2.1. Applications of GFs Working with a continuous function is sometimes much easier than working with a discrete function (sequence). For example, in the analysis of functions, calculus is very useful. However, the ...

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New analytic results for the Zernike circle polynomials from a basic result in the Nijboer-Zernike diffraction theory

New analytic results for the Zernike circle polynomials from a basic result in the Nijboer-Zernike diffraction theory

... radial polynomials R |m| n is spread out uniformly over the x-range (see ...procedure, using a separable set of sampling points (ρ k , ϑ l ) on the disk, for estimating the Zernike expansion ...

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Representation of wavefronts in free-form transmission pupils with Complex Zernike Polynomials

Representation of wavefronts in free-form transmission pupils with Complex Zernike Polynomials

... may offer improved performance over standard IOLs after cataract surgery. 17 This brief overview suggests a wide potential field of application of a proper description of general complex wavefronts, with free-amplitude ...

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Characterization of Optical Aberrations  Induced by Thermal Gradients and  Vibrations via Zernike and Legendre  Polynomials

Characterization of Optical Aberrations Induced by Thermal Gradients and Vibrations via Zernike and Legendre Polynomials

... nodal model of the structure from FEM into Matlab/Simulink used for the GSMT (Giant Segmented Mirror Telescope), a 30 m class telescope [3]: the aim is the investigation of how cross-coupled per- turbations affect ...

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Complete Modal Representation with Discrete Zernike Polynomials - Critical Sampling in Non Redundant Grids

Complete Modal Representation with Discrete Zernike Polynomials - Critical Sampling in Non Redundant Grids

... There are many practical implications of completeness. For standard redundant sampling grids, and realistic values of the SNR of the input data, the optimal number of modes providing the best reconstruction is about J = ...

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A novel algorithm for radar classification based on Doppler characteristics exploiting orthogonal pseudo-Zernike polynomials

A novel algorithm for radar classification based on Doppler characteristics exploiting orthogonal pseudo-Zernike polynomials

... B. Experimental Results on X Band Radar Data For a more complete analysis, the classification algorithm proposed in Section II-B was also applied to X band radar data of moving humans and animals. The dataset was ...

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A novel algorithm for radar classification based on Doppler characteristics exploiting orthogonal pseudo-Zernike polynomials

A novel algorithm for radar classification based on Doppler characteristics exploiting orthogonal pseudo-Zernike polynomials

... B. Experimental Results on X Band Radar Data For a more complete analysis, the classification algorithm proposed in Section II-B was also applied to X band radar data of moving humans and animals. The dataset was ...

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Palm Print Recognition using Zernike Moments

Palm Print Recognition using Zernike Moments

... for using palmprints lies in the fact that no two individuals have exactly the same palmprint pattern, moreover palmprints remain more or less stable throughout the lifetime and are easily obtainable using ...

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LOCAL GEOID MODEL DETERMINATION USING BIVARIATE POLYNOMIALS AND VALIDATIONS

LOCAL GEOID MODEL DETERMINATION USING BIVARIATE POLYNOMIALS AND VALIDATIONS

... geoid model determination has become more fundamental for geodetic ...a model for transformation of GNSS heights into regional vertical ...models using GNSS/levelling data are calculated and the ...

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Development of the system to predict the absorption coefficient of the room acoustic using zernike moments

Development of the system to predict the absorption coefficient of the room acoustic using zernike moments

... time, Zernike Moments, Radial Basic Function(RBF), Sabine ...coefficient using Zernike moments and Radial Basic Function (RBF) for classroom is a system based on the system developed using ...

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Analysis and Recognition of Emotions Using Zernike Moment Based Facial Expression System

Analysis and Recognition of Emotions Using Zernike Moment Based Facial Expression System

... the Zernike moments of face images are found out, the classification process is carried out by using ...Perceptron model. The model is of 3 layers with input and output layers comprising of 6 ...

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Face Recognition Using Zernike Moments, SIFT and Feed Forward Neural Network

Face Recognition Using Zernike Moments, SIFT and Feed Forward Neural Network

... Then, the number of false matches can be reduced [14]. The SIFT features are greatly distinctive of pictures. It can match and recognize face images of variant sizes. C. NEURAL NETWORK Neural Networks, or more precisely ...

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Digital Image Forgery Detection using Zernike Moment and Discrete Cosine Transform: A Comparison

Digital Image Forgery Detection using Zernike Moment and Discrete Cosine Transform: A Comparison

... In DCT algorithm, the input image is a color image. It is converted to a grayscale image using the standard formula, I = 0.299R + 0.587G +0.114B. RGB represents the three color components of RGB color ...

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Optimal sampling patterns for Zernike polynomials

Optimal sampling patterns for Zernike polynomials

... A pattern of interpolation nodes on the disk is studied, for which the inter- polation problem is theoretically unisolvent, and which renders a minimal numerical condition for the collocation matrix when the standard ...

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