Wavelet transform based gaussian point spread function estimation

Qing Chuan Tao; Xiao Hai He; Hong Bin Deng; Ying Liu; Jia Zhao

doi:10.1007/11595755_48

Wavelet transform based gaussian point spread function estimation

Qing Chuan Tao^*, Xiao Hai He, Hong Bin Deng, Ying Liu, Jia Zhao

^*Corresponding author for this work

School of Mechatronical Engineering

Sichuan University

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

3 Citations (Scopus)

Abstract

Point spread function (PSF) estimation, an essential part for image restoration, has no accurate estimation algorithm at present. Based on the wavelet theory, a new Gaussian PSF accurate estimation algorithm is put forward in this paper. Firstly, the blurred images are smoothed, and their noise is reduced. Secondly, wavelet with varied scales is transformed, after which the local maxima of the modulus of the wavelet are computed respectively. Thirdly, on the basis of the relation deduced in this paper among the local maxima of the modulus of the wavelet at different scales, Lipschitz exponent and variance, the variance of a Gaussian PSF is computed. The experimental result shows that the proposed algorithm has an accuracy rate as high as 95%, and is of great application value.

Original language	English
Title of host publication	Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings
Pages	396-405
Number of pages	10
DOIs	https://doi.org/10.1007/11595755_48
Publication status	Published - 2005
Event	First International Symposium on Advances in Visual Computing, ISVC 2005 - Lake Tahoe, NV, United States Duration: 5 Dec 2005 → 7 Dec 2005

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3804 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	First International Symposium on Advances in Visual Computing, ISVC 2005
Country/Territory	United States
City	Lake Tahoe, NV
Period	5/12/05 → 7/12/05

Access to Document

10.1007/11595755_48

Cite this

Tao, Q. C., He, X. H., Deng, H. B., Liu, Y., & Zhao, J. (2005). Wavelet transform based gaussian point spread function estimation. In Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings (pp. 396-405). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3804 LNCS). https://doi.org/10.1007/11595755_48

@inproceedings{1ec8574304ed4213a688b5766c9288ca,

title = "Wavelet transform based gaussian point spread function estimation",

abstract = "Point spread function (PSF) estimation, an essential part for image restoration, has no accurate estimation algorithm at present. Based on the wavelet theory, a new Gaussian PSF accurate estimation algorithm is put forward in this paper. Firstly, the blurred images are smoothed, and their noise is reduced. Secondly, wavelet with varied scales is transformed, after which the local maxima of the modulus of the wavelet are computed respectively. Thirdly, on the basis of the relation deduced in this paper among the local maxima of the modulus of the wavelet at different scales, Lipschitz exponent and variance, the variance of a Gaussian PSF is computed. The experimental result shows that the proposed algorithm has an accuracy rate as high as 95%, and is of great application value.",

author = "Tao, {Qing Chuan} and He, {Xiao Hai} and Deng, {Hong Bin} and Ying Liu and Jia Zhao",

year = "2005",

doi = "10.1007/11595755_48",

language = "English",

isbn = "3540307508",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "396--405",

booktitle = "Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings",

note = "First International Symposium on Advances in Visual Computing, ISVC 2005 ; Conference date: 05-12-2005 Through 07-12-2005",

}

Tao, QC, He, XH, Deng, HB, Liu, Y & Zhao, J 2005, Wavelet transform based gaussian point spread function estimation. in Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3804 LNCS, pp. 396-405, First International Symposium on Advances in Visual Computing, ISVC 2005, Lake Tahoe, NV, United States, 5/12/05. https://doi.org/10.1007/11595755_48

Wavelet transform based gaussian point spread function estimation. / Tao, Qing Chuan; He, Xiao Hai; Deng, Hong Bin et al.
Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings. 2005. p. 396-405 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3804 LNCS).

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

TY - GEN

T1 - Wavelet transform based gaussian point spread function estimation

AU - Tao, Qing Chuan

AU - He, Xiao Hai

AU - Deng, Hong Bin

AU - Liu, Ying

AU - Zhao, Jia

PY - 2005

Y1 - 2005

N2 - Point spread function (PSF) estimation, an essential part for image restoration, has no accurate estimation algorithm at present. Based on the wavelet theory, a new Gaussian PSF accurate estimation algorithm is put forward in this paper. Firstly, the blurred images are smoothed, and their noise is reduced. Secondly, wavelet with varied scales is transformed, after which the local maxima of the modulus of the wavelet are computed respectively. Thirdly, on the basis of the relation deduced in this paper among the local maxima of the modulus of the wavelet at different scales, Lipschitz exponent and variance, the variance of a Gaussian PSF is computed. The experimental result shows that the proposed algorithm has an accuracy rate as high as 95%, and is of great application value.

AB - Point spread function (PSF) estimation, an essential part for image restoration, has no accurate estimation algorithm at present. Based on the wavelet theory, a new Gaussian PSF accurate estimation algorithm is put forward in this paper. Firstly, the blurred images are smoothed, and their noise is reduced. Secondly, wavelet with varied scales is transformed, after which the local maxima of the modulus of the wavelet are computed respectively. Thirdly, on the basis of the relation deduced in this paper among the local maxima of the modulus of the wavelet at different scales, Lipschitz exponent and variance, the variance of a Gaussian PSF is computed. The experimental result shows that the proposed algorithm has an accuracy rate as high as 95%, and is of great application value.

UR - http://www.scopus.com/inward/record.url?scp=33744813278&partnerID=8YFLogxK

U2 - 10.1007/11595755_48

DO - 10.1007/11595755_48

M3 - Conference contribution

AN - SCOPUS:33744813278

SN - 3540307508

SN - 9783540307501

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 396

EP - 405

BT - Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings

T2 - First International Symposium on Advances in Visual Computing, ISVC 2005

Y2 - 5 December 2005 through 7 December 2005

ER -

Tao QC, He XH, Deng HB, Liu Y, Zhao J. Wavelet transform based gaussian point spread function estimation. In Advances in Visual Computing - First International Symposium, ISVC 2005, Proceedings. 2005. p. 396-405. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11595755_48

Wavelet transform based gaussian point spread function estimation

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this