On the Convergence of Bilateral Filter for Edge-Preserving Image Smoothing
The bilateral filter represents a wide group of nonlinear filters for edge-preserving image smoothing. In this work, we study the convergence properties of the bilateral filter algorithm. The understanding is established that the bilateral filter is an optimization procedure. We demonstrate that the...
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| Veröffentlicht in: | IEEE signal processing letters 2007-09, Vol.14 (9), p.617-620 |
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| container_title | IEEE signal processing letters |
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| creator | Gang Dong Acton, S.T. |
| description | The bilateral filter represents a wide group of nonlinear filters for edge-preserving image smoothing. In this work, we study the convergence properties of the bilateral filter algorithm. The understanding is established that the bilateral filter is an optimization procedure. We demonstrate that the bilateral filter is equivalent to minimizing a robust cost criterion using iterative reweighting, which is a good approximation to the very fast but unstable Newton's method. Further, the results of the analysis allow us to derive an improved hybrid smoothing scheme with concerns of computational efficiency and edge preservation. |
| doi_str_mv | 10.1109/LSP.2007.894966 |
| format | Article |
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Further, the results of the analysis allow us to derive an improved hybrid smoothing scheme with concerns of computational efficiency and edge preservation.</description><identifier>ISSN: 1070-9908</identifier><identifier>EISSN: 1558-2361</identifier><identifier>DOI: 10.1109/LSP.2007.894966</identifier><identifier>CODEN: ISPLEM</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Adaptive filters ; Anisotropic magnetoresistance ; Approximation ; Bilateral filter ; Computational efficiency ; Convergence ; edge-preserving smoothing ; Equivalence ; Iterative algorithms ; Iterative methods ; iterative reweighting ; Kernel ; Mathematical analysis ; Nonlinear filters ; Optimization ; outliers ; robust estimation ; Robustness ; Smoothing ; Smoothing methods</subject><ispartof>IEEE signal processing letters, 2007-09, Vol.14 (9), p.617-620</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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Further, the results of the analysis allow us to derive an improved hybrid smoothing scheme with concerns of computational efficiency and edge preservation.</description><subject>Adaptive filters</subject><subject>Anisotropic magnetoresistance</subject><subject>Approximation</subject><subject>Bilateral filter</subject><subject>Computational efficiency</subject><subject>Convergence</subject><subject>edge-preserving smoothing</subject><subject>Equivalence</subject><subject>Iterative algorithms</subject><subject>Iterative methods</subject><subject>iterative reweighting</subject><subject>Kernel</subject><subject>Mathematical analysis</subject><subject>Nonlinear filters</subject><subject>Optimization</subject><subject>outliers</subject><subject>robust estimation</subject><subject>Robustness</subject><subject>Smoothing</subject><subject>Smoothing methods</subject><issn>1070-9908</issn><issn>1558-2361</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp90U1PAjEQBuCN0UREzx68NB7Uy8L0Y0t7VAKKIYEEPTdlmYUlyxbbhcR_bwnGgwd6mZnkmTbNmyS3FDqUgu6OZ9MOA-h1lBZayrOkRbNMpYxLeh576EGqNajL5CqENQAoqrJW8j6pSbNC0nf1Hv0S6xyJK8hLWdkGva3IsKxiQwrnyWCxxHTqMaDfl_WSjDZ2iWS2ca5Zxfk6uShsFfDmt7aTz-Hgo_-Wjievo_7zOM25Ek1K-UJZEGAX0mrNF5axjCkUtMhZRqVAkLmUfJ4JO8eeptJaJZVGLSinYj7n7eTxeO_Wu68dhsZsypBjVdka3S4YDVwKYFpG-XBSchGPZizCp5OQyh7lgkOWRXr_j67dztfxw0ZJoeKrVETUPaLcuxA8Fmbry43134aCOaRlYlrmkJY5phU37o4bJSL-acGU1ELwH4q4jZA</recordid><startdate>20070901</startdate><enddate>20070901</enddate><creator>Gang Dong</creator><creator>Acton, S.T.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| ispartof | IEEE signal processing letters, 2007-09, Vol.14 (9), p.617-620 |
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| language | eng |
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| source | IEEE Electronic Library Online |
| subjects | Adaptive filters Anisotropic magnetoresistance Approximation Bilateral filter Computational efficiency Convergence edge-preserving smoothing Equivalence Iterative algorithms Iterative methods iterative reweighting Kernel Mathematical analysis Nonlinear filters Optimization outliers robust estimation Robustness Smoothing Smoothing methods |
| title | On the Convergence of Bilateral Filter for Edge-Preserving Image Smoothing |
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