Fast FRFT-based method for estimating physical parameters from Newton's rings

Zhen Guo; Ming Feng Lu; Jin Min Wu; Xiao Wei Jin; Feng Zhang; Ran Tao

doi:10.1364/AO.58.003926

Fast FRFT-based method for estimating physical parameters from Newton's rings

Zhen Guo, Ming Feng Lu^*, Jin Min Wu, Xiao Wei Jin, Feng Zhang, Ran Tao

^*Corresponding author for this work

School of Information and Electronics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

By analyzing Newton's rings, often encountered in interferometry, using fractional Fourier transform (FRFT), we can estimate the physical parameters, such as the curvature radius of the spherical surface and the rings' center. However, parameter estimation from large images using FRFT consumes considerable time. We introduce an improved method that resamples the image before applying FRFT. Because Newton's rings are sparse in the FRFT domain, this method reduces the computational time without decreasing the accuracy. Experimental results show that compared to traditional FRFT-based algorithms, this method can estimate parameters in about 1.3 s when processing 1920 × 1080 pixel images.

Original language	English
Pages (from-to)	3926-3931
Number of pages	6
Journal	Applied Optics
Volume	58
Issue number	14
DOIs	https://doi.org/10.1364/AO.58.003926
Publication status	Published - 2019

Access to Document

10.1364/AO.58.003926

Cite this

@article{13f3d50748df4f5b848fc4050276c969,

title = "Fast FRFT-based method for estimating physical parameters from Newton's rings",

abstract = "By analyzing Newton's rings, often encountered in interferometry, using fractional Fourier transform (FRFT), we can estimate the physical parameters, such as the curvature radius of the spherical surface and the rings' center. However, parameter estimation from large images using FRFT consumes considerable time. We introduce an improved method that resamples the image before applying FRFT. Because Newton's rings are sparse in the FRFT domain, this method reduces the computational time without decreasing the accuracy. Experimental results show that compared to traditional FRFT-based algorithms, this method can estimate parameters in about 1.3 s when processing 1920 × 1080 pixel images.",

author = "Zhen Guo and Lu, \{Ming Feng\} and Wu, \{Jin Min\} and Jin, \{Xiao Wei\} and Feng Zhang and Ran Tao",

note = "Publisher Copyright: {\textcopyright} 2019 Optical Society of America.",

year = "2019",

doi = "10.1364/AO.58.003926",

language = "English",

volume = "58",

pages = "3926--3931",

journal = "Applied Optics",

issn = "1559-128X",

publisher = "Optica Publishing Group",

number = "14",

}

TY - JOUR

T1 - Fast FRFT-based method for estimating physical parameters from Newton's rings

AU - Guo, Zhen

AU - Lu, Ming Feng

AU - Wu, Jin Min

AU - Jin, Xiao Wei

AU - Zhang, Feng

AU - Tao, Ran

PY - 2019

Y1 - 2019

N2 - By analyzing Newton's rings, often encountered in interferometry, using fractional Fourier transform (FRFT), we can estimate the physical parameters, such as the curvature radius of the spherical surface and the rings' center. However, parameter estimation from large images using FRFT consumes considerable time. We introduce an improved method that resamples the image before applying FRFT. Because Newton's rings are sparse in the FRFT domain, this method reduces the computational time without decreasing the accuracy. Experimental results show that compared to traditional FRFT-based algorithms, this method can estimate parameters in about 1.3 s when processing 1920 × 1080 pixel images.

AB - By analyzing Newton's rings, often encountered in interferometry, using fractional Fourier transform (FRFT), we can estimate the physical parameters, such as the curvature radius of the spherical surface and the rings' center. However, parameter estimation from large images using FRFT consumes considerable time. We introduce an improved method that resamples the image before applying FRFT. Because Newton's rings are sparse in the FRFT domain, this method reduces the computational time without decreasing the accuracy. Experimental results show that compared to traditional FRFT-based algorithms, this method can estimate parameters in about 1.3 s when processing 1920 × 1080 pixel images.

UR - http://www.scopus.com/inward/record.url?scp=85065774002&partnerID=8YFLogxK

U2 - 10.1364/AO.58.003926

DO - 10.1364/AO.58.003926

M3 - Article

C2 - 31158211

AN - SCOPUS:85065774002

SN - 1559-128X

VL - 58

SP - 3926

EP - 3931

JO - Applied Optics

JF - Applied Optics

IS - 14

ER -

Fast FRFT-based method for estimating physical parameters from Newton's rings

Abstract

Access to Document

Other files and links

Fingerprint

Cite this