Variable Exponent, Linear Growth Functionals in Image Restoration

<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"> RESUMEN <!--[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; panose-1:5 0 0 0 0 0 0 0 0 0; mso-font-charset:2; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:0 268435456 0 0 -2147483648 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:595.3pt 841.9pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:241718315; mso-list-type:hybrid; mso-list-template-ids:-1852933502 201981953 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l0:level1 {mso-level-number-format:bullet; mso-level-text:0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol;} @list l1 {mso-list-id:1280574745; 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:0B7; 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:0B7; 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'> RESUMEN<o:p></o:p> <o:p> </o:p> We study afunctional with variable exponent, 1≤ p(x)≤ 2, which provides amodel for image denoising, enhancement, and restoration. The diffusion resultingfrom the proposed model is a combination of total variation(TV)-based regularization and Gaussian smoothing. The existence, uniqueness, and long-timebehavior of the proposed model are established. Experimental results illustratethe effectiveness of the model in image restoration<o:p></o:p> <o:p> </o:p> .<o:p></o:p> <o:p> </o:p> </body> </html>