Modified SART with changing relaxation factor (CRF-MSART) applied to optical CT in finitely orthogonal views

Yi Wang; Qun Hao; Yongtian Wang

doi:10.1117/12.574563

Modified SART with changing relaxation factor (CRF-MSART) applied to optical CT in finitely orthogonal views

Yi Wang^*
, Qun Hao
, Yongtian Wang^*

^*Corresponding author for this work

School of Optics and Photonics

Beijing Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

Abstract

Optical Computed Tomography (OCT) is available for 3-D distribution of solution's refractive index. The 3-D distribution can be fitted up with divers 2-D slices. Thus, the discrete mathematical model of 3-D refractive index data reconstruction can be framed in a linear ill-posed problem. We proposed a practical reconstruction algorithm, Modified SART with Changing Relaxation Factor based on Simulated Annealing algorithm (CRF-MART), which is a modification of Simultaneous Algebraic Reconstruction Technique (SART). Furthermore, a computer simulation of the reconstruction algorithm was taken in the case of incomplete data. It is shown that reconstructed results have better smoothness and smaller residual, which are a good approximation to the true value.

Original language	English
Article number	130
Pages (from-to)	705-713
Number of pages	9
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5638
Issue number	PART 2
DOIs	https://doi.org/10.1117/12.574563
Publication status	Published - 2005
Event	Optical Design and Testing II - Beijing, United States Duration: 8 Nov 2004 → 11 Nov 2004

Keywords

3-D refractive index data reconstruction
Changeable relaxation factor
Incomplete data OCT
SART
Simulated Annealing algorithm

Access to Document

10.1117/12.574563

Cite this

@article{71d2e04435944deaa837a0073e1c96f0,

title = "Modified SART with changing relaxation factor (CRF-MSART) applied to optical CT in finitely orthogonal views",

abstract = "Optical Computed Tomography (OCT) is available for 3-D distribution of solution's refractive index. The 3-D distribution can be fitted up with divers 2-D slices. Thus, the discrete mathematical model of 3-D refractive index data reconstruction can be framed in a linear ill-posed problem. We proposed a practical reconstruction algorithm, Modified SART with Changing Relaxation Factor based on Simulated Annealing algorithm (CRF-MART), which is a modification of Simultaneous Algebraic Reconstruction Technique (SART). Furthermore, a computer simulation of the reconstruction algorithm was taken in the case of incomplete data. It is shown that reconstructed results have better smoothness and smaller residual, which are a good approximation to the true value.",

keywords = "3-D refractive index data reconstruction, Changeable relaxation factor, Incomplete data OCT, SART, Simulated Annealing algorithm",

author = "Yi Wang and Qun Hao and Yongtian Wang",

year = "2005",

doi = "10.1117/12.574563",

language = "English",

volume = "5638",

pages = "705--713",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

publisher = "SPIE",

number = "PART 2",

note = "Optical Design and Testing II ; Conference date: 08-11-2004 Through 11-11-2004",

}

TY - JOUR

T1 - Modified SART with changing relaxation factor (CRF-MSART) applied to optical CT in finitely orthogonal views

AU - Wang, Yi

AU - Hao, Qun

AU - Wang, Yongtian

PY - 2005

Y1 - 2005

N2 - Optical Computed Tomography (OCT) is available for 3-D distribution of solution's refractive index. The 3-D distribution can be fitted up with divers 2-D slices. Thus, the discrete mathematical model of 3-D refractive index data reconstruction can be framed in a linear ill-posed problem. We proposed a practical reconstruction algorithm, Modified SART with Changing Relaxation Factor based on Simulated Annealing algorithm (CRF-MART), which is a modification of Simultaneous Algebraic Reconstruction Technique (SART). Furthermore, a computer simulation of the reconstruction algorithm was taken in the case of incomplete data. It is shown that reconstructed results have better smoothness and smaller residual, which are a good approximation to the true value.

AB - Optical Computed Tomography (OCT) is available for 3-D distribution of solution's refractive index. The 3-D distribution can be fitted up with divers 2-D slices. Thus, the discrete mathematical model of 3-D refractive index data reconstruction can be framed in a linear ill-posed problem. We proposed a practical reconstruction algorithm, Modified SART with Changing Relaxation Factor based on Simulated Annealing algorithm (CRF-MART), which is a modification of Simultaneous Algebraic Reconstruction Technique (SART). Furthermore, a computer simulation of the reconstruction algorithm was taken in the case of incomplete data. It is shown that reconstructed results have better smoothness and smaller residual, which are a good approximation to the true value.

KW - 3-D refractive index data reconstruction

KW - Changeable relaxation factor

KW - Incomplete data OCT

KW - SART

KW - Simulated Annealing algorithm

UR - https://www.scopus.com/pages/publications/19844363211

U2 - 10.1117/12.574563

DO - 10.1117/12.574563

M3 - Conference article

AN - SCOPUS:19844363211

SN - 0277-786X

VL - 5638

SP - 705

EP - 713

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

IS - PART 2

M1 - 130

T2 - Optical Design and Testing II

Y2 - 8 November 2004 through 11 November 2004

ER -

Modified SART with changing relaxation factor (CRF-MSART) applied to optical CT in finitely orthogonal views

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this