Variable Exponent, Linear Growth Functionals in Image Restoration
Аннотация
<html xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:w=3D"urn:schemas-microsoft-com:office:word" xmlns=3D"http://www.w3.org/TR/REC-html40"> <head> <meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DProgId content=3DWord.Document> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"RESUMEN_archivos/filelist.xml"> <title>RESUMEN</title> <!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>referencia</o:Author> <o:Template>Normal</o:Template> <o:LastAuthor>referencia</o:LastAuthor> <o:Revision>2</o:Revision> <o:TotalTime>7</o:TotalTime> <o:Created>2007-03-02T21:12:00Z</o:Created> <o:LastSaved>2007-03-02T21:12:00Z</o:LastSaved> <o:Pages>1</o:Pages> <o:Words>70</o:Words> <o:Characters>390</o:Characters> <o:Company>UCLA</o:Company> <o:Lines>3</o:Lines> <o:Paragraphs>1</o:Paragraphs> <o:CharactersWithSpaces>459</o:CharactersWithSpaces> <o:Version>11.6568</o:Version> </o:DocumentProperties> </xml><![endif]--><!--[if gte mso 9]><xml> <w:WordDocument> <w:SpellingState>Clean</w:SpellingState> <w:GrammarState>Clean</w:GrammarState> <w:HyphenationZone>21</w:HyphenationZone> <w:PunctuationKerning/> <w:ValidateAgainstSchemas/> <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid> <w:IgnoreMixedContent>false</w:IgnoreMixedContent> <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText> <w:Compatibility> <w:BreakWrappedTables/> <w:SnapToGridInCell/> <w:WrapTextWithPunct/> <w:UseAsianBreakRules/> <w:DontGrowAutofit/> </w:Compatibility> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--><!--[if gte mso 9]><xml> <w:LatentStyles DefLockedState=3D"false" LatentStyleCount=3D"156"> </w:LatentStyles> </xml><![endif]--> <style> <!-- /* Font Definitions */ @font-face {font-family:Wingdings; 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mso-list-type:hybrid; mso-list-template-ids:-1828189882 201981953 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l1:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol;} @list l2 {mso-list-id:1843273260; mso-list-type:hybrid; mso-list-template-ids:1446426620 201981953 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l2:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style> <![endif]--> </head> <body lang=3DES style=3D'tab-interval:35.4pt'> <div class=3DSection1> <p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D'mso-bidi-font-weight: normal'><span style=3D'font-size:10.0pt'>RESUMEN<o:p></o:p></span></b> <p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span style=3D'font-size:10.0pt'><o:p> </o:p></span></b> <p class=3DMsoNormal><span class=3DSpellE><span style=3D'font-size:11.0pt'>We</span></span><span style=3D'font-size:11.0pt'> <span class=3DSpellE>study</span> a<sup> </sup><span class=3DSpellE>functional</span> <span class=3DSpellE>with</span> variable <span class=3DSpellE>exponent</span>, $1<span class=3DSpellE>\leq</span> p(x)\<span class=3DSpellE>leq</span> 2$, <span class=3DSpellE>which</span> <span class=3DSpellE>provides</span> a<sup> </sup><span class=3DSpellE>model</span> <span class=3DSpellE>for</span> <span class=3DSpellE>image</span> <span class=3DSpellE>denoising</span>, <span class=3DSpellE>enhancement</span>, <span class=3DSpellE>and</span> <span class=3DSpellE>restoration</span>. <span class=3DSpellE>The</span> <span class=3DSpellE>diffusion</span> <span class=3DSpellE>resulting</span><sup> </sup><span class=3DSpellE>from</span> <span class=3DSpellE>the</span> <span class=3DSpellE>proposed</span> <span class=3DSpellE>model</span> <span class=3DSpellE>is</span> a <span class=3DSpellE>combination</span> <span class=3DSpellE>of</span> total <span class=3DSpellE>variation</span><sup> </sup>(TV)-<span class=3DSpellE>based</span> <span class=3DSpellE>regularization</span> <span class=3DSpellE>and</span> <span class=3DSpellE>Gaussian</span> <span class=3DSpellE>smoothing</span>. <span class=3DSpellE>The</span> <span class=3DSpellE>existence</span>, <span class=3DSpellE>uniqueness</span>, <span class=3DSpellE>and</span> long-time<sup> </sup><span class=3DSpellE>behavior</span> <span class=3DSpellE>of</span> <span class=3DSpellE>the</span> <span class=3DSpellE>proposed</span> <span class=3DSpellE>model</span> are <span class=3DSpellE>established</span>. Experimental <span class=3DSpellE>results</span> <span class=3DSpellE>illustrate</span><sup> </sup><span class=3DSpellE>the</span> <span class=3DSpellE>effectiveness</span> <span class=3DSpellE>of</span> <span class=3DSpellE>the</span> <span class=3DSpellE>model</span> in <span class=3DSpellE>image</span> <span class=3DSpellE>restoration</span></span><span lang=3DEN-US style=3D'font-size: 10.0pt;mso-ansi-language:EN-US'><o:p></o:p></span> <p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span lang=3DEN-US style=3D'font-size:10.0pt;mso-ansi-language:EN-US'><o:p> </o:p></span></b> <p class=3DMsoNormal style=3D'text-align:justify'><span style=3D'font-size:11.0pt'>.<o:p></o:p></span> <p class=3DMsoNormal><o:p> </o:p> </div> </body> </html>
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