Analysis and performance of non-circular polygonal polynomials in the wavefront modeling

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00323838" target="_blank" >RIV/68407700:21230/18:00323838 - isvavai.cz</a>

Výsledek na webu

<a href="https://www-spiedigitallibrary-org.ezproxy.techlib.cz/conference-proceedings-of-spie/10743/2321302/Analysis-and-performance-of-non-circular-polynomials-in-the-wavefront/10.1117/12.2321302.short?SSO=1&tab=ArticleLink" target="_blank" >https://www-spiedigitallibrary-org.ezproxy.techlib.cz/conference-proceedings-of-spie/10743/2321302/Analysis-and-performance-of-non-circular-polynomials-in-the-wavefront/10.1117/12.2321302.short?SSO=1&tab=ArticleLink</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1117/12.2321302" target="_blank" >10.1117/12.2321302</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analysis and performance of non-circular polygonal polynomials in the wavefront modeling

Popis výsledku v původním jazyce

Imaging system design is not limited to circular aperture shapes. However, non-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 of orthogonal polynomials over selected non-circular aperture shape. However, when the aperture shape is complicated, non-symmetrical, the resulting set of polynomials can be very complex. In the case of odd-sided polygons is the analytical form of the polynomials inappropriate due to their complexity and these polynomials have to be expressed in their numerical form. Concerning the laborious complexity of some non-circular polynomials, we analyze the desired accuracy of such polynomials and their performance of the wavefront modeling according to classical circular Zernike polynomials.

Název v anglickém jazyce

Analysis and performance of non-circular polygonal polynomials in the wavefront modeling

Popis výsledku anglicky

Imaging system design is not limited to circular aperture shapes. However, non-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 of orthogonal polynomials over selected non-circular aperture shape. However, when the aperture shape is complicated, non-symmetrical, the resulting set of polynomials can be very complex. In the case of odd-sided polygons is the analytical form of the polynomials inappropriate due to their complexity and these polynomials have to be expressed in their numerical form. Concerning the laborious complexity of some non-circular polynomials, we analyze the desired accuracy of such polynomials and their performance of the wavefront modeling according to classical circular Zernike polynomials.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/GA17-05840S" target="_blank" >GA17-05840S: Multikriteriální optimalizace modelů prostorově variantních zobrazovacích systémů</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings Volume 10743, Optical Modeling and Performance Predictions X

ISBN

9781510620582

ISSN

—

e-ISSN

1996-756X

Počet stran výsledku

19

Strana od-do

—

Název nakladatele

SPIE

Místo vydání

Bellingham

Místo konání akce

San Diego

Datum konání akce

19. 8. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000451772200018