Inversion-free image recovery from strong aberration using a minimally sampled transmission matrix

Kwanjun Park, Taeseok Daniel Yang, Hyung Jin Kim, Taedong Kong, Jung Min Lee, Hyuk Soon Choi, Hoon-Jai Chun, Beop-Min Kim, Youngwoon Choi

Research output: Contribution to journalArticle

Abstract

A transmission matrix (TM), a characteristic response for an input-output relation of an optical system, has been used for achieving diffraction-limited and aberration-free images through highly-aberrant imaging systems. However, its requirement of acquiring a huge-size TM along with its heavy computational load limit its widespread applications. Here we propose a method for TM-based image reconstruction, which is more efficient in terms of data manipulation and computational time. Only 10% of the TM elements for a fish-eye (FE) lens with strong aberration were sampled compared to that required for the image reconstruction by the conventional inversion method. The missing information was filled in by an iterative interpolation algorithm working in k-space. In addition, as a replacement of the time-consuming matrix inversion process, a phase pattern was created from the minimally sampled TM in order to compensate for the angle-dependent phase retardation caused by the FE lens. The focal distortion could be corrected by applying the phase correction pattern to the angular spectrums of the measured object images. The remaining spatial distortion could also be determined through the geometrical transformation also determined by the minimally sampled TM elements. Through the use of these procedures, the object image can be reconstructed 55 times faster than through the use of the usual inversion method using the full-sized TM, without compromising the reconstruction performances.

Original languageEnglish
Article number1206
JournalScientific Reports
Volume9
Issue number1
DOIs
Publication statusPublished - 2019 Dec 1

Fingerprint

Crystalline Lens
Computer-Assisted Image Processing
Fishes
Optical Devices

ASJC Scopus subject areas

  • General

Cite this

Inversion-free image recovery from strong aberration using a minimally sampled transmission matrix. / Park, Kwanjun; Yang, Taeseok Daniel; Kim, Hyung Jin; Kong, Taedong; Lee, Jung Min; Choi, Hyuk Soon; Chun, Hoon-Jai; Kim, Beop-Min; Choi, Youngwoon.

In: Scientific Reports, Vol. 9, No. 1, 1206, 01.12.2019.

Research output: Contribution to journalArticle

@article{7901a5621fca4c62876f32967a67cb63,
title = "Inversion-free image recovery from strong aberration using a minimally sampled transmission matrix",
abstract = "A transmission matrix (TM), a characteristic response for an input-output relation of an optical system, has been used for achieving diffraction-limited and aberration-free images through highly-aberrant imaging systems. However, its requirement of acquiring a huge-size TM along with its heavy computational load limit its widespread applications. Here we propose a method for TM-based image reconstruction, which is more efficient in terms of data manipulation and computational time. Only 10{\%} of the TM elements for a fish-eye (FE) lens with strong aberration were sampled compared to that required for the image reconstruction by the conventional inversion method. The missing information was filled in by an iterative interpolation algorithm working in k-space. In addition, as a replacement of the time-consuming matrix inversion process, a phase pattern was created from the minimally sampled TM in order to compensate for the angle-dependent phase retardation caused by the FE lens. The focal distortion could be corrected by applying the phase correction pattern to the angular spectrums of the measured object images. The remaining spatial distortion could also be determined through the geometrical transformation also determined by the minimally sampled TM elements. Through the use of these procedures, the object image can be reconstructed 55 times faster than through the use of the usual inversion method using the full-sized TM, without compromising the reconstruction performances.",
author = "Kwanjun Park and Yang, {Taeseok Daniel} and Kim, {Hyung Jin} and Taedong Kong and Lee, {Jung Min} and Choi, {Hyuk Soon} and Hoon-Jai Chun and Beop-Min Kim and Youngwoon Choi",
year = "2019",
month = "12",
day = "1",
doi = "10.1038/s41598-018-38027-y",
language = "English",
volume = "9",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",
number = "1",

}

TY - JOUR

T1 - Inversion-free image recovery from strong aberration using a minimally sampled transmission matrix

AU - Park, Kwanjun

AU - Yang, Taeseok Daniel

AU - Kim, Hyung Jin

AU - Kong, Taedong

AU - Lee, Jung Min

AU - Choi, Hyuk Soon

AU - Chun, Hoon-Jai

AU - Kim, Beop-Min

AU - Choi, Youngwoon

PY - 2019/12/1

Y1 - 2019/12/1

N2 - A transmission matrix (TM), a characteristic response for an input-output relation of an optical system, has been used for achieving diffraction-limited and aberration-free images through highly-aberrant imaging systems. However, its requirement of acquiring a huge-size TM along with its heavy computational load limit its widespread applications. Here we propose a method for TM-based image reconstruction, which is more efficient in terms of data manipulation and computational time. Only 10% of the TM elements for a fish-eye (FE) lens with strong aberration were sampled compared to that required for the image reconstruction by the conventional inversion method. The missing information was filled in by an iterative interpolation algorithm working in k-space. In addition, as a replacement of the time-consuming matrix inversion process, a phase pattern was created from the minimally sampled TM in order to compensate for the angle-dependent phase retardation caused by the FE lens. The focal distortion could be corrected by applying the phase correction pattern to the angular spectrums of the measured object images. The remaining spatial distortion could also be determined through the geometrical transformation also determined by the minimally sampled TM elements. Through the use of these procedures, the object image can be reconstructed 55 times faster than through the use of the usual inversion method using the full-sized TM, without compromising the reconstruction performances.

AB - A transmission matrix (TM), a characteristic response for an input-output relation of an optical system, has been used for achieving diffraction-limited and aberration-free images through highly-aberrant imaging systems. However, its requirement of acquiring a huge-size TM along with its heavy computational load limit its widespread applications. Here we propose a method for TM-based image reconstruction, which is more efficient in terms of data manipulation and computational time. Only 10% of the TM elements for a fish-eye (FE) lens with strong aberration were sampled compared to that required for the image reconstruction by the conventional inversion method. The missing information was filled in by an iterative interpolation algorithm working in k-space. In addition, as a replacement of the time-consuming matrix inversion process, a phase pattern was created from the minimally sampled TM in order to compensate for the angle-dependent phase retardation caused by the FE lens. The focal distortion could be corrected by applying the phase correction pattern to the angular spectrums of the measured object images. The remaining spatial distortion could also be determined through the geometrical transformation also determined by the minimally sampled TM elements. Through the use of these procedures, the object image can be reconstructed 55 times faster than through the use of the usual inversion method using the full-sized TM, without compromising the reconstruction performances.

UR - http://www.scopus.com/inward/record.url?scp=85061030337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061030337&partnerID=8YFLogxK

U2 - 10.1038/s41598-018-38027-y

DO - 10.1038/s41598-018-38027-y

M3 - Article

VL - 9

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

IS - 1

M1 - 1206

ER -