<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2014000200002</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Topometry and color association by RGB Fringe Projection Technique]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[López Domínguez]]></surname>
<given-names><![CDATA[Y.Y.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rayas]]></surname>
<given-names><![CDATA[J.A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Centro de Investigaciones en Óptica A.C.  ]]></institution>
<addr-line><![CDATA[León Gto.]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2014</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2014</year>
</pub-date>
<volume>60</volume>
<numero>2</numero>
<fpage>109</fpage>
<lpage>113</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2014000200002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2014000200002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2014000200002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Three - dimensional object topography is obtained using the fringe projection technique. In fringe projection technique, digitalization is done when black and white fringes are projected over the sample object and the image is captured by the CCD. After that, phases of projected fringes on the surface are evaluated by phase shifting method. This paper presents a proposed method in which red, green and blue fringes are projected. This is very useful when the surface of interest contain large depth discontinuities, because the color encoded stripes avoid losing the fringe order. Doing the phase stepping, topography for each color (RGB) is obtained and the resulting reconstruction is the average of this three images. Using this method, we obtain more information about color, texture and topography details of the object. This method has a lot of applications area, such as archeology and the medical field, because it is possible to duplicate components with major information of color and topography.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[3D reconstruction]]></kwd>
<kwd lng="en"><![CDATA[fringe projection]]></kwd>
<kwd lng="en"><![CDATA[RGB fringes]]></kwd>
<kwd lng="en"><![CDATA[color association]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Investigaci&oacute;n</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="4"><b>Topometry and color association by RGB Fringe Projection Technique</b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>Y.Y. L&oacute;pez Dom&iacute;nguez, A. Mart&iacute;nez, and J.A. Rayas</b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><i>Centro de Investigaciones en &Oacute;ptica A.C., Loma del Bosque # 115 Col. Lomas del Campestre, Le&oacute;n Gto. 37150. e&#45;mail:</i> <a href="mailto:yanetld@cio.mx">yanetld@cio.mx</a>, <a href="mailto:jrayas@cio.mx">jrayas@cio.mx</a>, <a href="mailto:Amalia@cio.mx">Amalia@cio.mx</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Received 26 June 2012.    ]]></body>
<body><![CDATA[<br> 	Accepted 8 November 2013.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Three &#45; dimensional object topography is obtained using the fringe projection technique. In fringe projection technique, digitalization is done when black and white fringes are projected over the sample object and the image is captured by the CCD. After that, phases of projected fringes on the surface are evaluated by phase shifting method. This paper presents a proposed method in which red, green and blue fringes are projected. This is very useful when the surface of interest contain large depth discontinuities, because the color encoded stripes avoid losing the fringe order. Doing the phase stepping, topography for each color (RGB) is obtained and the resulting reconstruction is the average of this three images. Using this method, we obtain more information about color, texture and topography details of the object. This method has a lot of applications area, such as archeology and the medical field, because it is possible to duplicate components with major information of color and topography.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> 3D reconstruction; fringe projection; RGB fringes; color association.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">PACS: 43.30.&#45;d;43.30.Va;43.30.Wb</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v60n2/v60n2a2.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Acknowledgements</b></font></p>  	    <p align="justify"><font face="verdana" size="2">This research is part of the project supported by Conacyt through grant 180449 and the PhD program scholarship granted by Conacyt.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">1. A. Mart&iacute;nez, J. A. Rayas, H. J. Puga, Katia Genovese, <i>"Iterative estimation of the topography measurement by fringe projection method with divergent illumination by considering the pitch variation along the x and z directions",</i> Vol. 48 N<sub>0</sub> 9, (Optics and Lasers in Engineering, a publicarse en September 2010). pp. 877&#45;881.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8394665&pid=S0035-001X201400020000200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">2. J. A. Rayas, R. Rodr&iacute;guez Vera, A. Mart&iacute;nez, <i>"Three&#45;dimensional micro&#45;topography by Talbot&#45;projected fringes",</i> fifth symposium Optics in Industry, edited by Eric Rosas, Roc&iacute;o Cardoso, Juan C. Bermudez, Oracio Barbosa Garc&iacute;a, Proc. Of SPIE, Vol. 6046 (SPIE, Bellingham, WA January 2006), pp. 60461 y&#45;1 to 60461 y&#45;6.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8394667&pid=S0035-001X201400020000200002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">3. Wei Hung Su, <i>Optics Express</i> <b>15</b> (2007) 13167.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8394669&pid=S0035-001X201400020000200003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    ]]></body>
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