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		<identifier>oai:zbc.uz.zgora.pl:86080</identifier>
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<dc:title xml:lang="pl"><![CDATA[An algorithm for quaternion-based 3D rotation]]></dc:title>
<dc:creator><![CDATA[Cariow, Aleksandr]]></dc:creator>
<dc:creator><![CDATA[Cariowa, Galina]]></dc:creator>
<dc:creator><![CDATA[Majorkowska-Mech, Dorota]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[quaternions]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[space rotation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[design of algorithms]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In this work a new algorithm for quaternion-based spatial rotation is presented which reduces the number of underlying real multiplications. The performing of a quaternion-based rotation using a rotation matrix takes 15 ordinary multiplications, 6 trivial multiplications by 2 (left-shifts), 21 additions, and 4 squarings of real numbers, while the proposed algorithm can compute the same result in only 14 real multiplications (or multipliers - in a hardware implementation case), 43 additions, 4 right-shifts (multiplications by 1/4), and 3 left-shifts (multiplications by 2).]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2020]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/86080/AMCS_2020_30_1_12.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101092/edition/86080/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:86080]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 30, number 1 (2020)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=115]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101092]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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