Interferogram phase evaluation through a differential equation technique
A technique for the evaluation of the unknown phase of a spatial carrier interferogram is proposed in this paper. This technique is based on the formulation of a differential equation for the unknown phase. The coefficients of this equation are known functions. They are formulated with the aid of a...
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Veröffentlicht in: | Computers & electrical engineering 2004-11, Vol.30 (8), p.605-614 |
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description | A technique for the evaluation of the unknown phase of a spatial carrier interferogram is proposed in this paper. This technique is based on the formulation of a differential equation for the unknown phase. The coefficients of this equation are known functions. They are formulated with the aid of a modified Fourier transform method and Hilbert transform where they are functions of the measured interferogram. This equation is made discrete and solved through the application of a pseudospectral method. An illustrative example is given in which this technique is applied. Results generated from the application of this technique are compared with exact phase values, and exemplary agreement between the exact and approximate phase values is demonstrated. |
doi_str_mv | 10.1016/j.compeleceng.2004.11.002 |
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This technique is based on the formulation of a differential equation for the unknown phase. The coefficients of this equation are known functions. They are formulated with the aid of a modified Fourier transform method and Hilbert transform where they are functions of the measured interferogram. This equation is made discrete and solved through the application of a pseudospectral method. An illustrative example is given in which this technique is applied. 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Results generated from the application of this technique are compared with exact phase values, and exemplary agreement between the exact and approximate phase values is demonstrated.</description><subject>Interferogram processing</subject><subject>Phase measurement</subject><subject>Phase retrieval</subject><issn>0045-7906</issn><issn>1879-0755</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNqNUF1LwzAUDaLgnP6H-uJba5K2afMoQ50w8EWfw11yu2a0TZe0A_-9GVPw0afL4XxcziHkntGMUSYe95l2_Ygdahx2Gae0yBjLKOUXZMHqSqa0KstLsohEmVaSimtyE8KeRixYvSDrt2FC36B3Ow99MrYQMMEjdDNM1g3J1Ho379oEEmObKMNhstAlePjlUbeDPcx4S64a6ALe_dwl-Xx5_lit083769vqaZNqLsWUClFwLNFQoFshsG5MExHkpsiBGm5kmcuCC71FZqpK5LmsgRbbWLUQHKDJl-ThnDt6F9-GSfU2aOw6GNDNQXFZyLLmMgrlWai9C8Fjo0Zve_BfilF12k7t1Z_t1Gk7xZiK20Xv6uzF2ORo0augLQ4ajfWoJ2Wc_UfKNxEaf3k</recordid><startdate>20041101</startdate><enddate>20041101</enddate><creator>Ahmad, Falih H.</creator><creator>Castellane, Ray M.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20041101</creationdate><title>Interferogram phase evaluation through a differential equation technique</title><author>Ahmad, Falih H. ; Castellane, Ray M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c296t-6642e5ed0a0b66e8fdf5eda3d43a0d2d9539426cbe1d7763398a04b016462aaf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Interferogram processing</topic><topic>Phase measurement</topic><topic>Phase retrieval</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ahmad, Falih H.</creatorcontrib><creatorcontrib>Castellane, Ray M.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers & electrical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ahmad, Falih H.</au><au>Castellane, Ray M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interferogram phase evaluation through a differential equation technique</atitle><jtitle>Computers & electrical engineering</jtitle><date>2004-11-01</date><risdate>2004</risdate><volume>30</volume><issue>8</issue><spage>605</spage><epage>614</epage><pages>605-614</pages><issn>0045-7906</issn><eissn>1879-0755</eissn><abstract>A technique for the evaluation of the unknown phase of a spatial carrier interferogram is proposed in this paper. This technique is based on the formulation of a differential equation for the unknown phase. The coefficients of this equation are known functions. They are formulated with the aid of a modified Fourier transform method and Hilbert transform where they are functions of the measured interferogram. This equation is made discrete and solved through the application of a pseudospectral method. An illustrative example is given in which this technique is applied. Results generated from the application of this technique are compared with exact phase values, and exemplary agreement between the exact and approximate phase values is demonstrated.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compeleceng.2004.11.002</doi><tpages>10</tpages></addata></record> |
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subjects | Interferogram processing Phase measurement Phase retrieval |
title | Interferogram phase evaluation through a differential equation technique |
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