<?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>1645-9911</journal-id>
<journal-title><![CDATA[Tékhne - Revista de Estudos Politécnicos]]></journal-title>
<abbrev-journal-title><![CDATA[Tékhne]]></abbrev-journal-title>
<issn>1645-9911</issn>
<publisher>
<publisher-name><![CDATA[Instituto Politécnico do  Cávado e do Ave]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1645-99112008000100016</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Principles of Deterministic Spatial Interpolators]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Negreiros]]></surname>
<given-names><![CDATA[João]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Painho]]></surname>
<given-names><![CDATA[Marco]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Aguilar]]></surname>
<given-names><![CDATA[Fernando]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,UNL - Universidade Nova de Lisboa ISEGI - Instituto Superior de Estatística e Gestão de Informação ]]></institution>
<addr-line><![CDATA[Lisboa ]]></addr-line>
<country>Portugal</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad de Almeria  ]]></institution>
<addr-line><![CDATA[Almeria ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2008</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2008</year>
</pub-date>
<numero>9</numero>
<fpage>308</fpage>
<lpage>318</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_arttext&amp;pid=S1645-99112008000100016&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_abstract&amp;pid=S1645-99112008000100016&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_pdf&amp;pid=S1645-99112008000100016&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[A interpolação espacial é o processo de prever o valor de atributos em locais não amostrados a partir de medições realizadas em localizações diversas de uma determinada região [Burrough, McDonnell, 1998]. Rever e comparar os interpoladores determinísticos espaciais usados em Sistemas de Informação Geográficos (GIS) como a B-Spline, Fourier, TIN, IDW e as superfícies de tendência polinomiais é o objectivo principal deste artigo curto. Alguns aspectos técnicos computacionais são igualmente examinados.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Spatial interpolation is the process of predicting the value of attributes at unsampling sites from measurements made at point locations within the same area or region [Burrough, McDonnell, 1998]. To review and to compare spatial deterministic interpolators used in Geographical Information Systems (GIS) such as B-Splines, Fourier, TIN, IDW and polynomial trend surfaces is the main goal of this short article. Some computational technical aspects are examined, as well.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Interpolação espacial]]></kwd>
<kwd lng="pt"><![CDATA[TIN]]></kwd>
<kwd lng="pt"><![CDATA[Superfícies de tendência global]]></kwd>
<kwd lng="pt"><![CDATA[Fourier]]></kwd>
<kwd lng="pt"><![CDATA[B-Spline]]></kwd>
<kwd lng="en"><![CDATA[Spatial interpolation]]></kwd>
<kwd lng="en"><![CDATA[TIN]]></kwd>
<kwd lng="en"><![CDATA[Global polynomial trend]]></kwd>
<kwd lng="en"><![CDATA[Fourier]]></kwd>
<kwd lng="en"><![CDATA[B-Splines]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="center"><b>Principles of Deterministic Spatial Interpolators</b></p>     <p align="center">João Negreiros<sup>[<a href="#1">1</a><a name="top1"></a>]</sup>,    Marco Painho<sup><a href="#1">1</a><a name="top1"></a></sup>, Fernando Aguilar<sup>[<a href="#2">2</a>]<a name="top2"></a></sup>  </p>     <p align="center"><a href="mailto:c8057@isegi.unl.pt">c8057@isegi.unl.pt</a>,    <a href="mailto:painho@isegi.unl.pt">painho@isegi.unl.pt</a>, <a href="mailto:faguilar@aul.es">faguilar@aul.es</a></p>     <p align="center">(recebido em 8 de Abril de 2008; aceite em 2 de Maio de 2008)</p>     <p align="center">&nbsp;</p>     <p align="center">&nbsp;</p>      <p><b>Resumo:</b> A interpolação espacial é o processo de prever o valor de atributos em locais não amostrados a partir de medições realizadas em localizações diversas de uma determinada região [Burrough, McDonnell, 1998]. Rever e comparar os interpoladores determinísticos espaciais usados em Sistemas de Informação Geográficos (GIS) como a B-Spline, Fourier, TIN, IDW e as superfícies de tendência polinomiais é o objectivo principal deste artigo curto. Alguns aspectos técnicos computacionais são igualmente examinados.</p>      <p><b>Palavras-chave:</b> Interpolação espacial, TIN, Superfícies de tendência    global, Fourier, B-Spline.</p>     <p>&nbsp;</p>     <p>&nbsp;</p>      ]]></body>
<body><![CDATA[<p><b>Abstract:</b> Spatial interpolation is the process of predicting the value of attributes at unsampling sites from measurements made at point locations within the same area or region [Burrough, McDonnell, 1998]. To review and to compare spatial deterministic interpolators used in Geographical Information Systems (GIS) such as B-Splines, Fourier, TIN, IDW and polynomial trend surfaces is the main goal of this short article. Some computational technical aspects are examined, as well.</p>         <p><b>Keywords:</b> Spatial interpolation, TIN, Global polynomial trend, Fourier,    B-Splines.</p>     <p>&nbsp;</p>     <p>&nbsp;</p>       <p>Texto completo dispon&iacute;vel apenas em PDF.</p>        <p>Full text only available in PDF format.</p>     <p>&nbsp;</p>       <p>&nbsp;</p>     <p><b>Bibliography</b></p>      <!-- ref --><p>Anselin, L. &amp; O'Loughlin, J. (1992). Geography of International Conflict and Cooperation: Spatial Dependence and Regional Context in Africa. In Ficher (Ed.), <i>The New Geopolitics</i> (pp. 39-75). New York: Gordon and Breach Science Publication.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000022&pid=S1645-9911200800010001600001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p>Anselin, L. (Ed.). (1992). <i>SpaceStat Tutorial. A Workbook for Using SpaceStat in the Analysis of Spatial Data.</i> Morgantown: Regional Research Institute, West Virginia University. &nbsp;</p>      <p>Billingsley, F.C. (1983). Data Processing and Reprocessing. <i>Manual of Remote Sensing</i>, Volume 1, 719-722.</p>      <p>Burrough, P. &amp; McDonnell, R. (Ed.). (1998). <i>Principles of Geographical Information Systems</i>. Oxford University Press.</p>      <p>Clark, I. &amp; Harper, W. (Ed.). (2000). <i>Practical Geostatistics</i>. Ecosse North America.</p>      <p>ESRI (Ed.). (2001). <i>Using ArcGIS Geostatistical Analyst</i>. ESRI Press.</p>      <p>Goovaerts, P. (1999). Using Elevation to Aid the Geostatistical Mapping. <i>Catena    Research</i>, 34 (3), 227-242. Retrieved April 9, 2008, from <a href="http://www.sciencedirect.com/science" target="_blank">http://www.sciencedirect.com/science</a>.</p>      <p>Goovaerts, P. (2002). <i>Geostatistical Analysis of Environmental Data</i>. Lisboa, Portugal: ISEGI-UNL.</p>      <p>Griffith, D. &amp; Layne, L. (Ed.). (1999). <i>A Casebook for Spatial Statistical Data Analysis: A Compilation of Analyses of Different Thematic Data Sets</i>. Oxford University Press.</p>      <p>Isaaks, E. &amp; Srivastava, R. (Ed.). (1989). <i>An Introduction to Applied Geostatistics</i>. Oxford University Press.</p>      <p>Kravchenko, A. &amp; Bullock, D. (1999). A Comparative Study of Interpolation Methods for Mapping Soil Properties. <i>Agronomy Journal</i>, 91, 393-400.</p>      ]]></body>
<body><![CDATA[<p>Levine, N. (1997). Spatial Statistics and GIS Software Tools to Quantify Spatial Patterns. <i>APA Journal</i>, 34, 456-471.</p>      <p>Matos, J. (Ed.). (2001). <i>Fundamentos de Informação Geográfica</i>. FCA-Lidel.</p>      <p>Nalder, I. &amp; Wein, R. (1998). Spatial Interpolation of Climatic Normals: Test of a New Method in the Canadian Boreal Forest. <i>Agriculture and Forest Meteorology</i>, 92, 211-225.</p>      <p>Sarkozy, F. (1999). GIS Function Interpolation. <i>Periodical Civil Engineer</i>, 23, 63-86.</p>      <p>Shamsi, S. (2008). <i>GIS Applications in Floodplain Management</i>. Retrieved    April 9, 2008, from <a href="http://gis.esri.com/library/userconf/proc02/pap0490/p0490.htm" target="_blank">http://gis.esri.com/library/userconf/proc02/pap0490/p0490.htm</a>.</p>      <p>Walter, N. (Ed.). (2001). <i>Spatial Interpolation</i>. University of Calgary Press.</p>      <p>Wang, X. &amp; Zhang, Z. (1999). A Comparison of Conditional Simulation, Kriging and Trend Surface Analysis for Soil Heavy Metal Pollution Pattern Analysis. <i>Journal of Environmental Sciences and Health</i>, 34, 73-89.</p>      <p>Yao, T. (1999). Nonparametric Cross-covariance Modeling as Exemplified by Soil Heavy Metal Concentrations from The Swiss Jura. <i>Geoderma</i>, 88, 13-38.</p>      <p>Zimmerman, D., Pavlik, C., Ruggles, A. &amp; Armstrong, M. (1999). An Experimental    Comparison of Ordinary and UK and Inverse Distance Weighting. <i>Mathematical    Geology</i>, 31, 370-395.</p>     <p>&nbsp;</p>        ]]></body>
<body><![CDATA[<p><sup><a name="1"></a>[<a href="#top1">1</a>]</sup>&nbsp;ISEGI-UNL, Campus de    Campolide, Lisboa, Portugal; <a href="http://www.isegi.unl.pt" target="_blank">http://www.isegi.unl.pt</a></p>          <p><sup><a name="2"></a>[<a href="#top2">2</a>]</sup>&nbsp;Universidad de Almeria,    La Canãda de San Urbano, Almeria, Spain; <a href="http://www.ual.es" target="_blank">http://www.ual.es</a></p>             ]]></body><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Anselin]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[O'Loughlin]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Geography of International Conflict and Cooperation: Spatial Dependence and Regional Context in Africa.]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Ficher]]></surname>
</name>
</person-group>
<source><![CDATA[The New Geopolitics]]></source>
<year>1992</year>
<page-range>39-75</page-range><publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Gordon and Breach Science Publication]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
