Generalized non-uniform B-spline functions for discrete signal interpolation
This paper is concerned with the problem of recovering a discrete signal from a set of irregular spaced samples at known locations. We propose a local interpolation method based on non-uniform B-spline functions. Under specific constraints (multiplicity order imposed on each knot), we generalize the...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 132 vol.2 |
|---|---|
| container_issue | |
| container_start_page | 129 |
| container_title | |
| container_volume | 2 |
| creator | Chihab, N. Zergainoh, A. Astruc, J.-P. |
| description | This paper is concerned with the problem of recovering a discrete signal from a set of irregular spaced samples at known locations. We propose a local interpolation method based on non-uniform B-spline functions. Under specific constraints (multiplicity order imposed on each knot), we generalize the non-uniform B-spline functions for any degree of the interpolation function. We show that whatever the degree of the interpolation function, only few knots are enough to reconstruct the discrete signal. We provide a new and general scheme for the implementation of the reconstruction method. The results of simulation are satisfactory. |
| doi_str_mv | 10.1109/ISSPA.2003.1224832 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_1224832</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>1224832</ieee_id><sourcerecordid>1224832</sourcerecordid><originalsourceid>FETCH-LOGICAL-i175t-52c6ed4f355c702c3e06d0794383f21176378af7718e7de5077e3b1022377c23</originalsourceid><addsrcrecordid>eNotj0FLw0AUhBdEUGv_gF72DyS-3ZfNS461aFsIKLT3EjdvZSXdhN30oL_eiJ3LwPAxzAjxoCBXCuqn3X7_vso1AOZK66JCfSXugCpAqotS34hlSl8wqzBYl3Qrmg0Hjm3vf7iTYQjZOXg3xJN8ztLY-8DSnYOd_BCSnHPZ-WQjTyyT_wxtL32YOI5D3_4h9-LatX3i5cUX4vD6clhvs-Zts1uvmswrMlNmtC25KxwaYwm0RYayg3kgVui0UlQiVa0jUhVTxwaIGD8UaI1EVuNCPP7XemY-jtGf2vh9vPzFXzZaS58</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>Generalized non-uniform B-spline functions for discrete signal interpolation</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Chihab, N. ; Zergainoh, A. ; Astruc, J.-P.</creator><creatorcontrib>Chihab, N. ; Zergainoh, A. ; Astruc, J.-P.</creatorcontrib><description>This paper is concerned with the problem of recovering a discrete signal from a set of irregular spaced samples at known locations. We propose a local interpolation method based on non-uniform B-spline functions. Under specific constraints (multiplicity order imposed on each knot), we generalize the non-uniform B-spline functions for any degree of the interpolation function. We show that whatever the degree of the interpolation function, only few knots are enough to reconstruct the discrete signal. We provide a new and general scheme for the implementation of the reconstruction method. The results of simulation are satisfactory.</description><identifier>ISBN: 0780379462</identifier><identifier>ISBN: 9780780379466</identifier><identifier>DOI: 10.1109/ISSPA.2003.1224832</identifier><language>eng</language><publisher>IEEE</publisher><subject>Extraterrestrial measurements ; Frequency ; Geophysical measurements ; Image reconstruction ; Image sampling ; Interpolation ; Polynomials ; Sampling methods ; Sea measurements ; Spline</subject><ispartof>Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings, 2003, Vol.2, p.129-132 vol.2</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1224832$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,4050,4051,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1224832$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Chihab, N.</creatorcontrib><creatorcontrib>Zergainoh, A.</creatorcontrib><creatorcontrib>Astruc, J.-P.</creatorcontrib><title>Generalized non-uniform B-spline functions for discrete signal interpolation</title><title>Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings</title><addtitle>ISSPA</addtitle><description>This paper is concerned with the problem of recovering a discrete signal from a set of irregular spaced samples at known locations. We propose a local interpolation method based on non-uniform B-spline functions. Under specific constraints (multiplicity order imposed on each knot), we generalize the non-uniform B-spline functions for any degree of the interpolation function. We show that whatever the degree of the interpolation function, only few knots are enough to reconstruct the discrete signal. We provide a new and general scheme for the implementation of the reconstruction method. The results of simulation are satisfactory.</description><subject>Extraterrestrial measurements</subject><subject>Frequency</subject><subject>Geophysical measurements</subject><subject>Image reconstruction</subject><subject>Image sampling</subject><subject>Interpolation</subject><subject>Polynomials</subject><subject>Sampling methods</subject><subject>Sea measurements</subject><subject>Spline</subject><isbn>0780379462</isbn><isbn>9780780379466</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2003</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj0FLw0AUhBdEUGv_gF72DyS-3ZfNS461aFsIKLT3EjdvZSXdhN30oL_eiJ3LwPAxzAjxoCBXCuqn3X7_vso1AOZK66JCfSXugCpAqotS34hlSl8wqzBYl3Qrmg0Hjm3vf7iTYQjZOXg3xJN8ztLY-8DSnYOd_BCSnHPZ-WQjTyyT_wxtL32YOI5D3_4h9-LatX3i5cUX4vD6clhvs-Zts1uvmswrMlNmtC25KxwaYwm0RYayg3kgVui0UlQiVa0jUhVTxwaIGD8UaI1EVuNCPP7XemY-jtGf2vh9vPzFXzZaS58</recordid><startdate>2003</startdate><enddate>2003</enddate><creator>Chihab, N.</creator><creator>Zergainoh, A.</creator><creator>Astruc, J.-P.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>2003</creationdate><title>Generalized non-uniform B-spline functions for discrete signal interpolation</title><author>Chihab, N. ; Zergainoh, A. ; Astruc, J.-P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-52c6ed4f355c702c3e06d0794383f21176378af7718e7de5077e3b1022377c23</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Extraterrestrial measurements</topic><topic>Frequency</topic><topic>Geophysical measurements</topic><topic>Image reconstruction</topic><topic>Image sampling</topic><topic>Interpolation</topic><topic>Polynomials</topic><topic>Sampling methods</topic><topic>Sea measurements</topic><topic>Spline</topic><toplevel>online_resources</toplevel><creatorcontrib>Chihab, N.</creatorcontrib><creatorcontrib>Zergainoh, A.</creatorcontrib><creatorcontrib>Astruc, J.-P.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chihab, N.</au><au>Zergainoh, A.</au><au>Astruc, J.-P.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Generalized non-uniform B-spline functions for discrete signal interpolation</atitle><btitle>Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings</btitle><stitle>ISSPA</stitle><date>2003</date><risdate>2003</risdate><volume>2</volume><spage>129</spage><epage>132 vol.2</epage><pages>129-132 vol.2</pages><isbn>0780379462</isbn><isbn>9780780379466</isbn><abstract>This paper is concerned with the problem of recovering a discrete signal from a set of irregular spaced samples at known locations. We propose a local interpolation method based on non-uniform B-spline functions. Under specific constraints (multiplicity order imposed on each knot), we generalize the non-uniform B-spline functions for any degree of the interpolation function. We show that whatever the degree of the interpolation function, only few knots are enough to reconstruct the discrete signal. We provide a new and general scheme for the implementation of the reconstruction method. The results of simulation are satisfactory.</abstract><pub>IEEE</pub><doi>10.1109/ISSPA.2003.1224832</doi></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISBN: 0780379462 |
| ispartof | Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings, 2003, Vol.2, p.129-132 vol.2 |
| issn | |
| language | eng |
| recordid | cdi_ieee_primary_1224832 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Extraterrestrial measurements Frequency Geophysical measurements Image reconstruction Image sampling Interpolation Polynomials Sampling methods Sea measurements Spline |
| title | Generalized non-uniform B-spline functions for discrete signal interpolation |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T09%3A56%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=Generalized%20non-uniform%20B-spline%20functions%20for%20discrete%20signal%20interpolation&rft.btitle=Seventh%20International%20Symposium%20on%20Signal%20Processing%20and%20Its%20Applications,%202003.%20Proceedings&rft.au=Chihab,%20N.&rft.date=2003&rft.volume=2&rft.spage=129&rft.epage=132%20vol.2&rft.pages=129-132%20vol.2&rft.isbn=0780379462&rft.isbn_list=9780780379466&rft_id=info:doi/10.1109/ISSPA.2003.1224832&rft_dat=%3Cieee_6IE%3E1224832%3C/ieee_6IE%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=1224832&rfr_iscdi=true |