Superiorized iteration based on proximal point method and its application to XCT image reconstruction
In this paper, we investigate how to determine a better perturbation for superiorized iteration. We propose to seek the perturbation by proximal point method. In our method, the direction and amount of perturbation are computed simultaneously. The convergence conditions are also discussed for bounde...
Gespeichert in:
Hauptverfasser: | , , , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | |
container_volume | |
creator | Luo, Shousheng Zhang, Yanchun Zhou, Tie Song, Jinping |
description | In this paper, we investigate how to determine a better perturbation for
superiorized iteration. We propose to seek the perturbation by proximal point
method. In our method, the direction and amount of perturbation are computed
simultaneously. The convergence conditions are also discussed for bounded
perterbation resilence iteration. Numerical experiments on simulated XCT
projection data show that the proposed method improves the convergence rate and
the image quality. |
doi_str_mv | 10.48550/arxiv.1608.03931 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1608_03931</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1608_03931</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-a2bfc41e3f78e65ba3378d450f65590bd879e2055e2fe548a07d776910b580e03</originalsourceid><addsrcrecordid>eNotj81ugzAQhH3poUr7AD3VLwBdY4zNsUL9kyL1EA69oQWWxBLBlnGqtE9fSHqaHc3saj_GHgSkuVEKnjCc7XcqCjApyFKKW0a7k6dgXbC_1HMbKWC0buItzotfBh_c2R5x5N7ZKfIjxYPrOU5reebo_Wi760p0_Kuq-VLeEw_UuWmO4dSt2R27GXCc6f5fN6x-famr92T7-fZRPW8TLLRIMGuHLhckB22oUC1KqU2fKxgKpUpoe6NLykApygZSuUHQvdZFKaBVBgjkhj1ez144Gx-WX8JPs_I2F175B2qiUb4</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Superiorized iteration based on proximal point method and its application to XCT image reconstruction</title><source>arXiv.org</source><creator>Luo, Shousheng ; Zhang, Yanchun ; Zhou, Tie ; Song, Jinping</creator><creatorcontrib>Luo, Shousheng ; Zhang, Yanchun ; Zhou, Tie ; Song, Jinping</creatorcontrib><description>In this paper, we investigate how to determine a better perturbation for
superiorized iteration. We propose to seek the perturbation by proximal point
method. In our method, the direction and amount of perturbation are computed
simultaneously. The convergence conditions are also discussed for bounded
perterbation resilence iteration. Numerical experiments on simulated XCT
projection data show that the proposed method improves the convergence rate and
the image quality.</description><identifier>DOI: 10.48550/arxiv.1608.03931</identifier><language>eng</language><subject>Mathematics - Numerical Analysis</subject><creationdate>2016-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1608.03931$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1608.03931$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Luo, Shousheng</creatorcontrib><creatorcontrib>Zhang, Yanchun</creatorcontrib><creatorcontrib>Zhou, Tie</creatorcontrib><creatorcontrib>Song, Jinping</creatorcontrib><title>Superiorized iteration based on proximal point method and its application to XCT image reconstruction</title><description>In this paper, we investigate how to determine a better perturbation for
superiorized iteration. We propose to seek the perturbation by proximal point
method. In our method, the direction and amount of perturbation are computed
simultaneously. The convergence conditions are also discussed for bounded
perterbation resilence iteration. Numerical experiments on simulated XCT
projection data show that the proposed method improves the convergence rate and
the image quality.</description><subject>Mathematics - Numerical Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81ugzAQhH3poUr7AD3VLwBdY4zNsUL9kyL1EA69oQWWxBLBlnGqtE9fSHqaHc3saj_GHgSkuVEKnjCc7XcqCjApyFKKW0a7k6dgXbC_1HMbKWC0buItzotfBh_c2R5x5N7ZKfIjxYPrOU5reebo_Wi760p0_Kuq-VLeEw_UuWmO4dSt2R27GXCc6f5fN6x-famr92T7-fZRPW8TLLRIMGuHLhckB22oUC1KqU2fKxgKpUpoe6NLykApygZSuUHQvdZFKaBVBgjkhj1ez144Gx-WX8JPs_I2F175B2qiUb4</recordid><startdate>20160812</startdate><enddate>20160812</enddate><creator>Luo, Shousheng</creator><creator>Zhang, Yanchun</creator><creator>Zhou, Tie</creator><creator>Song, Jinping</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20160812</creationdate><title>Superiorized iteration based on proximal point method and its application to XCT image reconstruction</title><author>Luo, Shousheng ; Zhang, Yanchun ; Zhou, Tie ; Song, Jinping</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-a2bfc41e3f78e65ba3378d450f65590bd879e2055e2fe548a07d776910b580e03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematics - Numerical Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Luo, Shousheng</creatorcontrib><creatorcontrib>Zhang, Yanchun</creatorcontrib><creatorcontrib>Zhou, Tie</creatorcontrib><creatorcontrib>Song, Jinping</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Luo, Shousheng</au><au>Zhang, Yanchun</au><au>Zhou, Tie</au><au>Song, Jinping</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Superiorized iteration based on proximal point method and its application to XCT image reconstruction</atitle><date>2016-08-12</date><risdate>2016</risdate><abstract>In this paper, we investigate how to determine a better perturbation for
superiorized iteration. We propose to seek the perturbation by proximal point
method. In our method, the direction and amount of perturbation are computed
simultaneously. The convergence conditions are also discussed for bounded
perterbation resilence iteration. Numerical experiments on simulated XCT
projection data show that the proposed method improves the convergence rate and
the image quality.</abstract><doi>10.48550/arxiv.1608.03931</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | DOI: 10.48550/arxiv.1608.03931 |
ispartof | |
issn | |
language | eng |
recordid | cdi_arxiv_primary_1608_03931 |
source | arXiv.org |
subjects | Mathematics - Numerical Analysis |
title | Superiorized iteration based on proximal point method and its application to XCT image reconstruction |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-15T06%3A27%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Superiorized%20iteration%20based%20on%20proximal%20point%20method%20and%20its%20application%20to%20XCT%20image%20reconstruction&rft.au=Luo,%20Shousheng&rft.date=2016-08-12&rft_id=info:doi/10.48550/arxiv.1608.03931&rft_dat=%3Carxiv_GOX%3E1608_03931%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |