On the absolute accuracy of Zernike polynomials to characterize the corneal surface and the optical aberrations of the human eye

2005 ◽  
Author(s):  
Luis A. Carvalho
Keyword(s):  
Zernike Polynomials ◽  
Absolute Accuracy ◽  
Optical Aberrations ◽  
Corneal Surface ◽  
Human Eye ◽  
The Absolute

On the circle polynomials of Zernike and related orthogonal sets

1954 ◽  
Vol 50 (1) ◽  
pp. 40-48 ◽  
Author(s):  
A. B. Bhatia ◽  
E. Wolf
Keyword(s):  
Unit Circle ◽  
Generating Functions ◽  
Legendre Polynomials ◽  
Phase Contrast ◽  
Diffraction Theory ◽  
Zernike Polynomials ◽  
Optical Aberrations ◽  
Orthogonal Set ◽  
Complete Orthogonal Set ◽  
Explicit Expressions

ABSTRACTThe paper is concerned with the construction of polynomials in two variables, which form a complete orthogonal set for the interior of the unit circle and which are ‘invariant in form’ with respect to rotations of axes about the origin of coordinates. It is found that though there exist an infinity of such sets there is only one set which in addition has certain simple properties strictly analogous to that of Legendre polynomials. This set is found to be identical with the set of the circle polynomials of Zernike which play an important part in the theory of phase contrast and in the Nijboer-Zernike diffraction theory of optical aberrations.The results make it possible to derive explicit expressions for the Zernike polynomials in a simple, systematic manner. The method employed may also be used to derive other orthogonal sets. One new set is investigated, and the generating functions for this set and for the Zernike polynomials are also given.

A Hybrid Neural Network Approach for Increasing the Absolute Accuracy of Industrial Robots

2021 ◽  
Author(s):  
Christian Landgraf ◽  
Kilian Ernst ◽  
Gesine Schleth ◽  
Marc Fabritius ◽  
Marco F. Huber
Keyword(s):  
Neural Network ◽  
Industrial Robots ◽  
Absolute Accuracy ◽  
Network Approach ◽  
Neural Network Approach ◽  
Hybrid Neural Network ◽  
The Absolute

scholarly journals Steps Towards Absolute Accuracy In Radial Velocities

1999 ◽  
Vol 170 ◽  
pp. 58-62
Author(s):  
Dag Gullberg
Keyword(s):  
Systematic Errors ◽  
Radial Velocities ◽  
Surface Gravity ◽  
Absolute Accuracy ◽  
Paper Briefly ◽  
Order Of Magnitude ◽  
The Absolute

AbstractWe are developing methods to reach high absolute accuracy in spectroscopic radial velocities for stars of different spectral types. The basic idea is to remove the effects from convection and surface gravity that cause large systematic errors, in order to improve the absolute accuracy of radial velocities by one order of magnitude. This paper briefly describes observations and methodology in computing the radial velocities.

THE ABSOLUTE FISSION YIELDS OF TWENTY-EIGHT MASS CHAINS IN THE THERMAL NEUTRON FISSION OF U235

1955 ◽  
Vol 33 (11) ◽  
pp. 693-706 ◽  
Author(s):  
J. A. Petruska ◽  
H. G. Thode ◽  
R. H. Tomlinson
Keyword(s):  
Fine Structure ◽  
Isotope Dilution ◽  
Yield Curve ◽  
Mass Yield ◽  
Absolute Accuracy ◽  
Neutron Fission ◽  
Thermal Neutron Fission ◽  
The Absolute ◽  
Fission Yields ◽  
Better Than

Twenty-eight absolute fission yields totalling 78% of the heavy and 16% of the light fragments have been determined using the mass spectrometer and isotope dilution techniques. The precision of the values obtained is in most cases better than 2% and the absolute accuracy is estimated to be about 3%. Fine structure in the mass–yield curve is discussed in terms of structural preference and various chain branching mechanisms.

scholarly journals Wavefront optics and retinal image quality

2013 ◽  
Vol 3 (1) ◽  
pp. 1
Author(s):  
Cristina M. Oliveira ◽  
Sandra Franco
Keyword(s):  
Vision Research ◽  
Optical Quality ◽  
Wavefront Sensing ◽  
Zernike Polynomials ◽  
Secondary Effect ◽  
General Description ◽  
Wave Optics ◽  
Optical Aberrations ◽  
Optical Components ◽  
Optical Structure

With the increasing importance of optical aberrations in both vision research and clinical practice, it becomes necessary for vision scientists to have a thorough understanding of the concepts behind wavefront optics. Therefore, in this review, we provide some basic wave optics concepts useful to understand wavefront analysis, and describe the application of Zernike polynomials in the decomposition of aberrations. A general description of the human eye optical structure is given, followed by a more detailed analysis of the optical components of the eye and optical aberrations, and their secondary effect on overall optical quality. We further provide an overview of the current corneal and ocular wavefront sensing methods.

Accuracy of Florida Current Volume Transport Measurements at 27°N Using Multiple Observational Techniques

2014 ◽  
Vol 31 (5) ◽  
pp. 1169-1180 ◽  
Author(s):  
Rigoberto F. Garcia ◽  
Christopher S. Meinen
Keyword(s):  
Acoustic Doppler Current Profiler ◽  
Volume Transport ◽  
Florida Current ◽  
Absolute Accuracy ◽  
Submarine Cable ◽  
Accuracy And Precision ◽  
Transport Calculation ◽  
The Absolute ◽  
Florida Straits ◽  
Long Term Observation

AbstractFor more than 30 years, the volume transport of the Florida Current at 27°N has been regularly estimated both via voltage measurements on a submarine cable and using ship-based measurements of horizontal velocity at nine historical stations across the Florida Straits. A comparison of three different observational systems is presented, including a detailed evaluation of observational accuracy and precision. The three systems examined are dropsonde (free-falling float), lowered acoustic Doppler current profiler (LADCP), and submarine cable. The accuracy of the Florida Current transport calculation from dropsonde sections, which can be determined from first principles with existing data, is shown to be 0.8 Sv (1 Sv ≡ 106 m3 s−1). Side-by-side comparisons between dropsonde and LADCP measurements are used to show that the LADCP-based transport estimates are accurate to within 1.3 Sv. Dropsonde data are often used to set the absolute mean cable transport estimate, so some care is required in establishing the absolute accuracy of the cable measurements. Used together, the dropsonde and LADCP sections can be used to evaluate the absolute accuracy and precision of the cable measurements. These comparisons suggest the daily cable observations are accurate to within 1.7 Sv, and analysis of the decorrelation time scales for the errors suggests that annual transport averages from the cable are accurate to within 0.3 Sv. The implications of these accuracy estimates for long-term observation of the Florida Current are discussed in the context of maintaining this key climate record.

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