Unconstrained correlation filters

A mathematical analysis of the distortion tolerance in correlation filters is presented. A good measure for distortion performance is shown to be a generalization of the minimum average correlation energy criterion. To optimize the filter's performance, we remove the usual hard constraints on t...

Full description

Saved in:
Bibliographic Details
Published in:Applied optics (2004) 1994-06, Vol.33 (17), p.3751-3759
Main Authors: Mahalanobis, A, Vijaya Kumar, B V, Song, S, Sims, S R, Epperson, J F
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c319t-b444ad2e3b60955e2fdeb00210002d1879b0657e96d051cf71a4fcf03ec8f8de3
cites
container_end_page 3759
container_issue 17
container_start_page 3751
container_title Applied optics (2004)
container_volume 33
creator Mahalanobis, A
Vijaya Kumar, B V
Song, S
Sims, S R
Epperson, J F
description A mathematical analysis of the distortion tolerance in correlation filters is presented. A good measure for distortion performance is shown to be a generalization of the minimum average correlation energy criterion. To optimize the filter's performance, we remove the usual hard constraints on the outputs in the synthetic discriminant function formulation. The resulting filters exhibit superior distortion tolerance while retaining the attractive features of their predecessors such as the minimum average correlation energy filter and the minimum variance synthetic discriminant function filter. The proposed theory also unifies several existing approaches and examines the relationship between different formulations. The proposed filter design algorithm requires only simple statistical parameters and the inversion of diagonal matrices, which makes it attractive from a computational standpoint. Several properties of these filters are discussed with illustrative examples.
doi_str_mv 10.1364/AO.33.003751
format article
fullrecord <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_proquest_miscellaneous_756658631</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>756658631</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-b444ad2e3b60955e2fdeb00210002d1879b0657e96d051cf71a4fcf03ec8f8de3</originalsourceid><addsrcrecordid>eNo1jztrwzAUhTW0NGnarXNJp052dS1dPcYQ-oJAlga6GVm6AhfHTiV76L-voelyPjh8HDiM3QEvQSj5tNmXQpScC41wwZaAaAuozOeCXef8Nfcorb5ii4obg1rpJXs49H7o85hc21NY-yEl6tzYDv06tt1IKd-wy-i6TLdnrtjh5flj-1bs9q_v282u8ALsWDRSShcqEo3iFpGqGKjhvAI-RwCjbcMVarIqcAQfNTgZfeSCvIkmkFixx7_dUxq-J8pjfWyzp65zPQ1TrjUqhUYJmM37szk1Rwr1KbVHl37q_1fiF6QTS0o</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>756658631</pqid></control><display><type>article</type><title>Unconstrained correlation filters</title><source>OSA_美国光学学会数据库1</source><creator>Mahalanobis, A ; Vijaya Kumar, B V ; Song, S ; Sims, S R ; Epperson, J F</creator><creatorcontrib>Mahalanobis, A ; Vijaya Kumar, B V ; Song, S ; Sims, S R ; Epperson, J F</creatorcontrib><description>A mathematical analysis of the distortion tolerance in correlation filters is presented. A good measure for distortion performance is shown to be a generalization of the minimum average correlation energy criterion. To optimize the filter's performance, we remove the usual hard constraints on the outputs in the synthetic discriminant function formulation. The resulting filters exhibit superior distortion tolerance while retaining the attractive features of their predecessors such as the minimum average correlation energy filter and the minimum variance synthetic discriminant function filter. The proposed theory also unifies several existing approaches and examines the relationship between different formulations. The proposed filter design algorithm requires only simple statistical parameters and the inversion of diagonal matrices, which makes it attractive from a computational standpoint. Several properties of these filters are discussed with illustrative examples.</description><identifier>ISSN: 1559-128X</identifier><identifier>DOI: 10.1364/AO.33.003751</identifier><identifier>PMID: 20885767</identifier><language>eng</language><publisher>United States</publisher><ispartof>Applied optics (2004), 1994-06, Vol.33 (17), p.3751-3759</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-b444ad2e3b60955e2fdeb00210002d1879b0657e96d051cf71a4fcf03ec8f8de3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/20885767$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Mahalanobis, A</creatorcontrib><creatorcontrib>Vijaya Kumar, B V</creatorcontrib><creatorcontrib>Song, S</creatorcontrib><creatorcontrib>Sims, S R</creatorcontrib><creatorcontrib>Epperson, J F</creatorcontrib><title>Unconstrained correlation filters</title><title>Applied optics (2004)</title><addtitle>Appl Opt</addtitle><description>A mathematical analysis of the distortion tolerance in correlation filters is presented. A good measure for distortion performance is shown to be a generalization of the minimum average correlation energy criterion. To optimize the filter's performance, we remove the usual hard constraints on the outputs in the synthetic discriminant function formulation. The resulting filters exhibit superior distortion tolerance while retaining the attractive features of their predecessors such as the minimum average correlation energy filter and the minimum variance synthetic discriminant function filter. The proposed theory also unifies several existing approaches and examines the relationship between different formulations. The proposed filter design algorithm requires only simple statistical parameters and the inversion of diagonal matrices, which makes it attractive from a computational standpoint. Several properties of these filters are discussed with illustrative examples.</description><issn>1559-128X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNo1jztrwzAUhTW0NGnarXNJp052dS1dPcYQ-oJAlga6GVm6AhfHTiV76L-voelyPjh8HDiM3QEvQSj5tNmXQpScC41wwZaAaAuozOeCXef8Nfcorb5ii4obg1rpJXs49H7o85hc21NY-yEl6tzYDv06tt1IKd-wy-i6TLdnrtjh5flj-1bs9q_v282u8ALsWDRSShcqEo3iFpGqGKjhvAI-RwCjbcMVarIqcAQfNTgZfeSCvIkmkFixx7_dUxq-J8pjfWyzp65zPQ1TrjUqhUYJmM37szk1Rwr1KbVHl37q_1fiF6QTS0o</recordid><startdate>19940610</startdate><enddate>19940610</enddate><creator>Mahalanobis, A</creator><creator>Vijaya Kumar, B V</creator><creator>Song, S</creator><creator>Sims, S R</creator><creator>Epperson, J F</creator><scope>NPM</scope><scope>7X8</scope></search><sort><creationdate>19940610</creationdate><title>Unconstrained correlation filters</title><author>Mahalanobis, A ; Vijaya Kumar, B V ; Song, S ; Sims, S R ; Epperson, J F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-b444ad2e3b60955e2fdeb00210002d1879b0657e96d051cf71a4fcf03ec8f8de3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mahalanobis, A</creatorcontrib><creatorcontrib>Vijaya Kumar, B V</creatorcontrib><creatorcontrib>Song, S</creatorcontrib><creatorcontrib>Sims, S R</creatorcontrib><creatorcontrib>Epperson, J F</creatorcontrib><collection>PubMed</collection><collection>MEDLINE - Academic</collection><jtitle>Applied optics (2004)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mahalanobis, A</au><au>Vijaya Kumar, B V</au><au>Song, S</au><au>Sims, S R</au><au>Epperson, J F</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Unconstrained correlation filters</atitle><jtitle>Applied optics (2004)</jtitle><addtitle>Appl Opt</addtitle><date>1994-06-10</date><risdate>1994</risdate><volume>33</volume><issue>17</issue><spage>3751</spage><epage>3759</epage><pages>3751-3759</pages><issn>1559-128X</issn><abstract>A mathematical analysis of the distortion tolerance in correlation filters is presented. A good measure for distortion performance is shown to be a generalization of the minimum average correlation energy criterion. To optimize the filter's performance, we remove the usual hard constraints on the outputs in the synthetic discriminant function formulation. The resulting filters exhibit superior distortion tolerance while retaining the attractive features of their predecessors such as the minimum average correlation energy filter and the minimum variance synthetic discriminant function filter. The proposed theory also unifies several existing approaches and examines the relationship between different formulations. The proposed filter design algorithm requires only simple statistical parameters and the inversion of diagonal matrices, which makes it attractive from a computational standpoint. Several properties of these filters are discussed with illustrative examples.</abstract><cop>United States</cop><pmid>20885767</pmid><doi>10.1364/AO.33.003751</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1559-128X
ispartof Applied optics (2004), 1994-06, Vol.33 (17), p.3751-3759
issn 1559-128X
language eng
recordid cdi_proquest_miscellaneous_756658631
source OSA_美国光学学会数据库1
title Unconstrained correlation filters
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T06%3A12%3A36IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Unconstrained%20correlation%20filters&rft.jtitle=Applied%20optics%20(2004)&rft.au=Mahalanobis,%20A&rft.date=1994-06-10&rft.volume=33&rft.issue=17&rft.spage=3751&rft.epage=3759&rft.pages=3751-3759&rft.issn=1559-128X&rft_id=info:doi/10.1364/AO.33.003751&rft_dat=%3Cproquest_pubme%3E756658631%3C/proquest_pubme%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c319t-b444ad2e3b60955e2fdeb00210002d1879b0657e96d051cf71a4fcf03ec8f8de3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=756658631&rft_id=info:pmid/20885767&rfr_iscdi=true