Zernike polynomials

en

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Zernike polynomials

Quality:

Zernike polynomials - polynomial sequence. Article “Zernike polynomials” in English Wikipedia has 52.1 points for quality (as of July 1, 2025). The article contains 26 references and 21 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Zernike polynomials” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Zernike polynomials”, its content was written by 88 registered users of English Wikipedia and edited by 228 registered Wikipedia users in all languages.

The article is cited 37 times in English Wikipedia and cited 109 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #39285 in September 2012
  • Global: #70053 in September 2018

The highest popularity rank from 2008:

  • Local (English): #140752 in February 2009
  • Global: #193671 in November 2024

There are 13 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Zernike polynomials
52.1398
2Catalan (ca)
Polinomis de Zernike
42.7448
3Spanish (es)
Polinomios de Zernike
34.8158
4Italian (it)
Polinomi di Zernike
31.6748
5Polish (pl)
Wielomiany Zernikego
24.8125
6Chinese (zh)
泽尔尼克多项式
23.3873
7Persian (fa)
چندجمله‌ای‌های زرنیک
18.7497
8Japanese (ja)
ゼルニケ多項式
17.6033
9French (fr)
Polynôme de Zernike
14.137
10Russian (ru)
Многочлены Цернике
12.2588
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Zernike polynomials" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Zernike polynomials
933 645
2German (de)
Zernike-Polynom
127 075
3French (fr)
Polynôme de Zernike
60 612
4Chinese (zh)
泽尔尼克多项式
53 911
5Japanese (ja)
ゼルニケ多項式
53 351
6Russian (ru)
Многочлены Цернике
23 751
7Spanish (es)
Polinomios de Zernike
21 950
8Dutch (nl)
Zernikepolynoom
18 776
9Polish (pl)
Wielomiany Zernikego
12 229
10Italian (it)
Polinomi di Zernike
10 288
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Zernike polynomials" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Zernike polynomials
6 850
2Japanese (ja)
ゼルニケ多項式
927
3German (de)
Zernike-Polynom
561
4Chinese (zh)
泽尔尼克多项式
488
5French (fr)
Polynôme de Zernike
418
6Spanish (es)
Polinomios de Zernike
195
7Italian (it)
Polinomi di Zernike
104
8Russian (ru)
Многочлены Цернике
92
9Dutch (nl)
Zernikepolynoom
45
10Polish (pl)
Wielomiany Zernikego
21
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Zernike polynomials" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Zernike polynomials
88
2German (de)
Zernike-Polynom
42
3French (fr)
Polynôme de Zernike
26
4Dutch (nl)
Zernikepolynoom
16
5Italian (it)
Polinomi di Zernike
14
6Polish (pl)
Wielomiany Zernikego
10
7Russian (ru)
Многочлены Цернике
7
8Japanese (ja)
ゼルニケ多項式
6
9Catalan (ca)
Polinomis de Zernike
5
10Persian (fa)
چندجمله‌ای‌های زرنیک
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Zernike polynomials" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Zernike polynomials
1
2French (fr)
Polynôme de Zernike
1
3Catalan (ca)
Polinomis de Zernike
0
4German (de)
Zernike-Polynom
0
5Spanish (es)
Polinomios de Zernike
0
6Persian (fa)
چندجمله‌ای‌های زرنیک
0
7Italian (it)
Polinomi di Zernike
0
8Japanese (ja)
ゼルニケ多項式
0
9Dutch (nl)
Zernikepolynoom
0
10Polish (pl)
Wielomiany Zernikego
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Zernike polynomials" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Zernike polynomials
37
2Russian (ru)
Многочлены Цернике
13
3Dutch (nl)
Zernikepolynoom
12
4German (de)
Zernike-Polynom
10
5French (fr)
Polynôme de Zernike
10
6Spanish (es)
Polinomios de Zernike
4
7Japanese (ja)
ゼルニケ多項式
4
8Polish (pl)
Wielomiany Zernikego
4
9Serbian (sr)
Zernikeovi polinomi
4
10Catalan (ca)
Polinomis de Zernike
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Polinomis de Zernike
deGerman
Zernike-Polynom
enEnglish
Zernike polynomials
esSpanish
Polinomios de Zernike
faPersian
چندجمله‌ای‌های زرنیک
frFrench
Polynôme de Zernike
itItalian
Polinomi di Zernike
jaJapanese
ゼルニケ多項式
nlDutch
Zernikepolynoom
plPolish
Wielomiany Zernikego
ruRussian
Многочлены Цернике
srSerbian
Zernikeovi polinomi
zhChinese
泽尔尼克多项式

Popularity rank trends

Best Rank English:
#140752
02.2009
Global:
#193671
11.2024

AI rank trends

Best Rank English:
#39285
09.2012
Global:
#70053
09.2018

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Zernike polynomials from Wikipedia articles about Coma, Optical aberration, Frits Zernike, Jacobi polynomials and Aberrations of the eye. Whereas reading the article about Zernike polynomials people most often go to Wikipedia articles on Optical aberration, Frits Zernike, Jacobi polynomials, Pseudo-Zernike polynomials and Astigmatism.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information