Image restoration based on PDEs and a non-local algorithm

Lei Xu; Xiaoling Zhang; Kin Man Lam; Jin Xie

doi:10.1007/978-3-642-15696-0_34

Image restoration based on PDEs and a non-local algorithm

Lei Xu, Xiaoling Zhang, Kin Man Lam, Jin Xie

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

1 Citation (Scopus)

Abstract

Image restoration based on partial differential equations (PDEs) is an effective approach. However, most of the methods are based on using a local window, such as a 3×3 mask, operating on images. As a consequence, the anisotropic diffusion process seeks the local mode of a density when performing repeatedly, which may degrade the image details. However, a non-local (NL) algorithm can take advantage of all the possible self-predictions provided by the image. In this paper, image restoration based on PDEs is discussed and a NL algorithm is proposed. Experiments show that this method using the NL algorithm can improve the performance efficiently and significantly.

Original language	English
Title of host publication	Advances in Multimedia Information Processing, PCM 2010 - 11th Pacific Rim Conference on Multimedia, Proceedings
Pages	362-371
Number of pages	10
Edition	PART 2
DOIs	https://doi.org/10.1007/978-3-642-15696-0_34
Publication status	Published - 9 Nov 2010
Event	11th Pacific Rim Conference on Multimedia, PCM 2010 - Shanghai, China Duration: 21 Sept 2010 → 24 Sept 2010

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 2
Volume	6298 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	11th Pacific Rim Conference on Multimedia, PCM 2010
Country/Territory	China
City	Shanghai
Period	21/09/10 → 24/09/10

Keywords

anisotropic diffusion
Image restoration
non-local algorithm

ASJC Scopus subject areas

General Computer Science
Theoretical Computer Science

More information

10.1007/978-3-642-15696-0_34

Cite this

Xu, L., Zhang, X., Lam, K. M., & Xie, J. (2010). Image restoration based on PDEs and a non-local algorithm. In Advances in Multimedia Information Processing, PCM 2010 - 11th Pacific Rim Conference on Multimedia, Proceedings (PART 2 ed., pp. 362-371). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6298 LNCS, No. PART 2). https://doi.org/10.1007/978-3-642-15696-0_34

Xu, Lei ; Zhang, Xiaoling ; Lam, Kin Man et al. / Image restoration based on PDEs and a non-local algorithm. Advances in Multimedia Information Processing, PCM 2010 - 11th Pacific Rim Conference on Multimedia, Proceedings. PART 2. ed. 2010. pp. 362-371 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2).

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keywords = "anisotropic diffusion, Image restoration, non-local algorithm",

author = "Lei Xu and Xiaoling Zhang and Lam, {Kin Man} and Jin Xie",

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Xu, L, Zhang, X, Lam, KM & Xie, J 2010, Image restoration based on PDEs and a non-local algorithm. in Advances in Multimedia Information Processing, PCM 2010 - 11th Pacific Rim Conference on Multimedia, Proceedings. PART 2 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 2, vol. 6298 LNCS, pp. 362-371, 11th Pacific Rim Conference on Multimedia, PCM 2010, Shanghai, China, 21/09/10. https://doi.org/10.1007/978-3-642-15696-0_34

Image restoration based on PDEs and a non-local algorithm. / Xu, Lei; Zhang, Xiaoling; Lam, Kin Man et al.
Advances in Multimedia Information Processing, PCM 2010 - 11th Pacific Rim Conference on Multimedia, Proceedings. PART 2. ed. 2010. p. 362-371 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6298 LNCS, No. PART 2).

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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N2 - Image restoration based on partial differential equations (PDEs) is an effective approach. However, most of the methods are based on using a local window, such as a 3×3 mask, operating on images. As a consequence, the anisotropic diffusion process seeks the local mode of a density when performing repeatedly, which may degrade the image details. However, a non-local (NL) algorithm can take advantage of all the possible self-predictions provided by the image. In this paper, image restoration based on PDEs is discussed and a NL algorithm is proposed. Experiments show that this method using the NL algorithm can improve the performance efficiently and significantly.

AB - Image restoration based on partial differential equations (PDEs) is an effective approach. However, most of the methods are based on using a local window, such as a 3×3 mask, operating on images. As a consequence, the anisotropic diffusion process seeks the local mode of a density when performing repeatedly, which may degrade the image details. However, a non-local (NL) algorithm can take advantage of all the possible self-predictions provided by the image. In this paper, image restoration based on PDEs is discussed and a NL algorithm is proposed. Experiments show that this method using the NL algorithm can improve the performance efficiently and significantly.

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Xu L, Zhang X, Lam KM, Xie J. Image restoration based on PDEs and a non-local algorithm. In Advances in Multimedia Information Processing, PCM 2010 - 11th Pacific Rim Conference on Multimedia, Proceedings. PART 2 ed. 2010. p. 362-371. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2). doi: 10.1007/978-3-642-15696-0_34

Image restoration based on PDEs and a non-local algorithm

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