ℓ1 norm based reconstruction algorithm for particle sizing

Lei Xin; Lijun Xu; Zhang Cao

doi:10.1109/IMTC.2011.5944269

ℓ₁ norm based reconstruction algorithm for particle sizing

Lei Xin
, Lijun Xu^*
, Zhang Cao

^*Corresponding author for this work

School of Instrumentation and Optoelectronic Engineering

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Reconstruction algorithm for particle sizing by using the ℓ₁-regularization was introduced in this paper. Compared with the Chahine algorithm, the results obtained by the ℓ₁ norm based algorithm were less sensitive to the additive noise. In the experiments, the data was acquired by a photodetector array that is composed of 31 separate circular rings. In order to validate the algorithm proposed in this paper, to kinds of size distribution was presented, i.e., single-peak and double-peak distributions. 0 to 1% additive noise was added into the data to test the sensitivity of the algorithms to the noise. Comparisons of the particle size distributions reconstructed by the proposed algorithm with those by the Chahine algorithm show that the ℓ₁ norm based algorithm performs better than the Chahine algorithm when the noise level is between 0 to 1%.

Original language	English
Title of host publication	2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011 - Proceedings
Pages	1477-1480
Number of pages	4
DOIs	https://doi.org/10.1109/IMTC.2011.5944269
State	Published - 2011
Event	2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011 - Binjiang, Hangzhou, China Duration: 10 May 2011 → 12 May 2011

Publication series

Name	Conference Record - IEEE Instrumentation and Measurement Technology Conference
ISSN (Print)	1091-5281

Conference

Conference	2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011
Country/Territory	China
City	Binjiang, Hangzhou
Period	10/05/11 → 12/05/11

Keywords

ℓ algorithm
Chahine algorithm
Fraunhofer diffraction
particle size distribution

Access to Document

10.1109/IMTC.2011.5944269

Cite this

@inproceedings{c82276fba7924bd5b155940f18146d44,

title = "ℓ1 norm based reconstruction algorithm for particle sizing",

abstract = "Reconstruction algorithm for particle sizing by using the ℓ1-regularization was introduced in this paper. Compared with the Chahine algorithm, the results obtained by the ℓ1 norm based algorithm were less sensitive to the additive noise. In the experiments, the data was acquired by a photodetector array that is composed of 31 separate circular rings. In order to validate the algorithm proposed in this paper, to kinds of size distribution was presented, i.e., single-peak and double-peak distributions. 0 to 1\% additive noise was added into the data to test the sensitivity of the algorithms to the noise. Comparisons of the particle size distributions reconstructed by the proposed algorithm with those by the Chahine algorithm show that the ℓ1 norm based algorithm performs better than the Chahine algorithm when the noise level is between 0 to 1\%.",

keywords = "ℓ algorithm, Chahine algorithm, Fraunhofer diffraction, particle size distribution",

author = "Lei Xin and Lijun Xu and Zhang Cao",

year = "2011",

doi = "10.1109/IMTC.2011.5944269",

language = "英语",

isbn = "9781424479351",

series = "Conference Record - IEEE Instrumentation and Measurement Technology Conference",

pages = "1477--1480",

booktitle = "2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011 - Proceedings",

note = "2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011 ; Conference date: 10-05-2011 Through 12-05-2011",

}

Xin, L, Xu, L & Cao, Z 2011, ℓ₁ norm based reconstruction algorithm for particle sizing. in 2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011 - Proceedings., 5944269, Conference Record - IEEE Instrumentation and Measurement Technology Conference, pp. 1477-1480, 2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011, Binjiang, Hangzhou, China, 10/05/11. https://doi.org/10.1109/IMTC.2011.5944269

ℓ₁ norm based reconstruction algorithm for particle sizing. / Xin, Lei; Xu, Lijun ; Cao, Zhang.
2011 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2011 - Proceedings. 2011. p. 1477-1480 5944269 (Conference Record - IEEE Instrumentation and Measurement Technology Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Reconstruction algorithm for particle sizing by using the ℓ1-regularization was introduced in this paper. Compared with the Chahine algorithm, the results obtained by the ℓ1 norm based algorithm were less sensitive to the additive noise. In the experiments, the data was acquired by a photodetector array that is composed of 31 separate circular rings. In order to validate the algorithm proposed in this paper, to kinds of size distribution was presented, i.e., single-peak and double-peak distributions. 0 to 1% additive noise was added into the data to test the sensitivity of the algorithms to the noise. Comparisons of the particle size distributions reconstructed by the proposed algorithm with those by the Chahine algorithm show that the ℓ1 norm based algorithm performs better than the Chahine algorithm when the noise level is between 0 to 1%.

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