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Zernike Polynomials and their Spectral Representation
The Zernike polynomials are known in optical physics, and they are used that the Zernike radial polynomials are represented through Jacobi polynomials. This paper deals with Chebyshev expansions for Jacobi...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Filter-generating system of Zernike polynomials
) of the Zernike polynomials in two dimensional form. Combining the methods of GFs and discrete generation of entire orders of Zernike polynomials. We establish two different formulas for the GF of the radial Z...
Computer hardware and architecture
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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2-D Generating Function of the Zernike Polynomials and their Application for Image Classification
) of the Zernike polynomials in two dimensional form. Combining the methods of GFs generation of entire orders of Zernike polynomials. We establish two different formulas for the GF of the radial Zernike <...
Computer hardware and architecture
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Fast and robust computation of Cartesian derivatives of Zernike polynomials
This work deals with a problem of an effective and robust evaluation of Cartesian partial derivatives of Zernike polynomials. Calculations based on explicit of Zernike polynomials are needed. Such methods employing...
BH - Optika, masery a lasery
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Efficient and stable numerical method for evaluation of Zernike polynomials and their Cartesian derivatives
The work deals with the problem calculation of Zernike polynomial values and their Cartesian derivatives. Efficient and numerically stable method based on recurrence relations is proposed. It is shown that the proposed recurrence ba...
JA - Elektronika a optoelektronika, elektrotechnika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Methods for numerical evaluation of Zernike polynomials
The paper deals with the problem of numerical calculation of Zernike polynomials. In this paper a brief overview of fast and stable recurrent methods for numerical calculation of Zernike polynomilas is given and the compari...
BH - Optika, masery a lasery
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Application of recursive algorithms for numerical evaluation of derivatives of Zernike polynomials
The work deals with the problem of numerical evaluation of partial derivatives of Zernike polynomials with respect to Cartesian coordinates. Using existing recursive algorithms for evaluation of Zernike polynomials...
BH - Optika, masery a lasery
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Analysis and performance of non-circular polygonal polynomials in the wavefront modeling
-circular apertures require a different set of polynomials, because broadly used Zernike polynomials are not orthogonal over non-circular shapes. Applying the Gram-Schmidt orthogonalization process provide the adopted set o...
Electrical and electronic engineering
- 2018 •
- D •
- Link
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D - Stať ve sborníku
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Simulations of Optical Aberrations using MATLAB
of the optical system the Seidel or Zernike polynomials is using. Seidel aberration polynomials are convenient for serving as a primary aberrations interpreter. Using the Zernike polynomials we can descri...
JA - Elektronika a optoelektronika, elektrotechnika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Application of field dependent polynomial model
techniques of searching coefficients space-variant Zernike polynomials can be described are included with these imaging systems. Modeling wavefront aberrations using the Zernike polynomials is known a longer time ...
JA - Elektronika a optoelektronika, elektrotechnika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
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