<?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>1794-6190</journal-id>
<journal-title><![CDATA[Earth Sciences Research Journal]]></journal-title>
<abbrev-journal-title><![CDATA[Earth Sci. Res. J.]]></abbrev-journal-title>
<issn>1794-6190</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-61902020000200201</article-id>
<article-id pub-id-type="doi">10.15446/esrj.v24n2.87228</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[GPS elevation fitting study based on ternary polynomial regression]]></article-title>
<article-title xml:lang="es"><![CDATA[Estudio de ajuste de elevación GPS basado en regresión polinómica ternaria]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[Jianmin]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Xie]]></surname>
<given-names><![CDATA[Dongping]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Liaoning Technical University  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>China</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<volume>24</volume>
<numero>2</numero>
<fpage>201</fpage>
<lpage>205</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-61902020000200201&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-61902020000200201&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-61902020000200201&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT For the traditional GPS elevation fitting method, the accuracy has not been significantly improved in recent years, and the method has become increasingly complicated. This paper proposes to insert the geodetic height 'H' into the calculation system and use a ternary polynomial regression function to fit the GPS elevation anomaly. The feasibility of the ternary polynomial regression method in GPS elevation fitting was verified by an example, and compared with the results of the traditional plane fitting and quadric surface fitting method, it was proved that the proposed method is suitable for terrain with large terrain fluctuations. The fitting residual error and the standard deviation are smaller, and through example calculations, it is concluded that the ternary polynomial regression method under the seven parameters has the highest fitting accuracy.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Para el método tradicional de ajuste de elevación GPS, la precisión no se ha mejorado significativamente en los últimos años, y el método se ha vuelto cada vez más complicado. Este documento propone insertar la altura geodésica "H" en el sistema de cálculo y utilizar una función de regresión polinómica ternaria para ajustar la anomalía de elevación del GPS. La viabilidad del método de regresión polinómica ternaria en el ajuste de elevación GPS se verificó mediante un ejemplo y, en comparación con los resultados del método tradicional de ajuste de plano y ajuste de superficie cuadrática, se demostró que el método propuesto es adecuado para terrenos con grandes fluctuaciones. El error residual de ajuste y la desviación estándar son menores, y a través de cálculos de ejemplo, se concluye que el método de regresión polinómica ternaria bajo los siete parámetros tiene la mayor precisión de ajuste.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Polynomial regression]]></kwd>
<kwd lng="en"><![CDATA[GPS elevation fitting]]></kwd>
<kwd lng="en"><![CDATA[Quadrio surface fitting]]></kwd>
<kwd lng="en"><![CDATA[Plane fitting]]></kwd>
<kwd lng="en"><![CDATA[Geodetic height]]></kwd>
<kwd lng="es"><![CDATA[Regresión polinómica]]></kwd>
<kwd lng="es"><![CDATA[Ajuste de elevación GPS]]></kwd>
<kwd lng="es"><![CDATA[Ajuste de superficie cuadrática]]></kwd>
<kwd lng="es"><![CDATA[Montaje en plano]]></kwd>
<kwd lng="es"><![CDATA[Altura geodésica]]></kwd>
</kwd-group>
</article-meta>
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