Color image reduction by minimizing penalty functions
In image processing, particularly in image reduction, averaging aggregation functions play an important role. In this work we study the aggregation of color values (RGB) and we present an image reduction algorithm for RGB color images. For this purpose, we define and study aggregation functions and...
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| creator | Paternain, D. Jurio, A. Beliakov, G. |
| description | In image processing, particularly in image reduction, averaging aggregation functions play an important role. In this work we study the aggregation of color values (RGB) and we present an image reduction algorithm for RGB color images. For this purpose, we define and study aggregation functions and penalty functions in product lattices. We show how the arithmetic mean and the median can be obtained by minimizing specific penalty functions. Moreover, we study other penalty functions and we show that, in general, aggregation functions on product lattices do not coincide with the cartesian product of the corresponding aggregation functions. Finally, we make an experimental study where we test our reduction algorithm and we analyze the stability of the penalty functions in images affected by noise. |
| doi_str_mv | 10.1109/FUZZ-IEEE.2012.6250794 |
| format | Conference Proceeding |
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In this work we study the aggregation of color values (RGB) and we present an image reduction algorithm for RGB color images. For this purpose, we define and study aggregation functions and penalty functions in product lattices. We show how the arithmetic mean and the median can be obtained by minimizing specific penalty functions. Moreover, we study other penalty functions and we show that, in general, aggregation functions on product lattices do not coincide with the cartesian product of the corresponding aggregation functions. 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In this work we study the aggregation of color values (RGB) and we present an image reduction algorithm for RGB color images. For this purpose, we define and study aggregation functions and penalty functions in product lattices. We show how the arithmetic mean and the median can be obtained by minimizing specific penalty functions. Moreover, we study other penalty functions and we show that, in general, aggregation functions on product lattices do not coincide with the cartesian product of the corresponding aggregation functions. Finally, we make an experimental study where we test our reduction algorithm and we analyze the stability of the penalty functions in images affected by noise.</description><subject>Color</subject><subject>Image color analysis</subject><subject>Image reconstruction</subject><subject>Image reduction</subject><subject>Lattices</subject><subject>Penalty function</subject><subject>Product lattice</subject><subject>PSNR</subject><issn>1098-7584</issn><isbn>1467315079</isbn><isbn>9781467315074</isbn><isbn>9781467315050</isbn><isbn>1467315060</isbn><isbn>9781467315067</isbn><isbn>1467315052</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo1T8tqwzAQVGkLTVN_QaHoB-yuXpZ0LMZJA4FckksuQbLXQcWPYDsH9-tr2nQuwzCzywwhbwwSxsC-rw7HY7zJ8zzhwHiScgXayjsSWW2YTLVgChTck-d_oe0DWcyXJtbKyCcSDcMXzJjjTIkFUVlXdz0NjTsj7bG8FmPoWuon2oQ2NOE7tGd6wdbV40Sra_trDy_ksXL1gNGNl-SwyvfZZ7zdrTfZxzYOnIsxRimBo0aPShiGytmyEh40Kg9CWXSF8Ra09sLwklntpDdVgZwZVVQpR7Ekr39_AyKeLv1cs59Ot9XiB_XhSm4</recordid><startdate>201206</startdate><enddate>201206</enddate><creator>Paternain, D.</creator><creator>Jurio, A.</creator><creator>Beliakov, G.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>201206</creationdate><title>Color image reduction by minimizing penalty functions</title><author>Paternain, D. ; Jurio, A. ; Beliakov, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i223t-e4402e7ebe5381e5a9df3b07e5b0359eac8b9077b382d197a4b8fce2185cf62e3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Color</topic><topic>Image color analysis</topic><topic>Image reconstruction</topic><topic>Image reduction</topic><topic>Lattices</topic><topic>Penalty function</topic><topic>Product lattice</topic><topic>PSNR</topic><toplevel>online_resources</toplevel><creatorcontrib>Paternain, D.</creatorcontrib><creatorcontrib>Jurio, A.</creatorcontrib><creatorcontrib>Beliakov, G.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Paternain, D.</au><au>Jurio, A.</au><au>Beliakov, G.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Color image reduction by minimizing penalty functions</atitle><btitle>2012 IEEE International Conference on Fuzzy Systems</btitle><stitle>FUZZ-IEEE</stitle><date>2012-06</date><risdate>2012</risdate><spage>1</spage><epage>7</epage><pages>1-7</pages><issn>1098-7584</issn><isbn>1467315079</isbn><isbn>9781467315074</isbn><eisbn>9781467315050</eisbn><eisbn>1467315060</eisbn><eisbn>9781467315067</eisbn><eisbn>1467315052</eisbn><abstract>In image processing, particularly in image reduction, averaging aggregation functions play an important role. 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| identifier | ISSN: 1098-7584 |
| ispartof | 2012 IEEE International Conference on Fuzzy Systems, 2012, p.1-7 |
| issn | 1098-7584 |
| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Color Image color analysis Image reconstruction Image reduction Lattices Penalty function Product lattice PSNR |
| title | Color image reduction by minimizing penalty functions |
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