<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-14T02:15:34Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/750" metadataPrefix="qdc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2117/750</identifier><datestamp>2025-07-17T11:51:00Z</datestamp><setSpec>com_2072_1033</setSpec><setSpec>col_2072_452950</setSpec></header><metadata><qdc:qualifieddc xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
   <dc:title>SDK: A proposal of a general and efficient deterministic sampling sequence</dc:title>
   <dc:creator>Rosell Gratacòs, Jan</dc:creator>
   <dc:creator>Roa Garzón, Máximo</dc:creator>
   <dc:creator>Pérez, Alexander</dc:creator>
   <dc:creator>García, Fernando</dc:creator>
   <dc:subject>Àrees temàtiques de la UPC::Informàtica::Robòtica</dc:subject>
   <dc:subject>Sampling</dc:subject>
   <dc:subject>Robots</dc:subject>
   <dc:subject>Planificació de moviments</dc:subject>
   <dc:subject>Mostratge determinista</dc:subject>
   <dc:subject>Planificación de movimientos</dc:subject>
   <dc:subject>Muestreo determinista</dc:subject>
   <dc:subject>Motion planning</dc:subject>
   <dc:subject>Deterministic sampling</dc:subject>
   <dc:subject>Robots -- Sistemes de control -- Informes tècnics</dc:subject>
   <dc:subject>Mostreig (Estadística) -- Aplicacions</dc:subject>
   <dcterms:abstract>Previous works have already demonstrated that deterministic sampling can be competitive with respect to probabilistic sampling in sampling-based path planners. Nevertheless, the definition of a general sampling sequence for any d-dimensional Configuration Space satisfying the requirements needed for path planning is not a trivial issue, over a multi-grid cell decomposition, of the ordering of the 2d descendant cells of any parent cell. This ordering is generated by the digital construction method using a d x d matrix Td. A general expression of this matrix (i.e. for any d) is introduced and its performance analyzed in terms of the mutual distance. The paper ends with a performance evaluation of the use of the proposed deterministic sampling sequence in different well know path planners</dcterms:abstract>
   <dcterms:issued>2007-03</dcterms:issued>
   <dc:type>External research report</dc:type>
   <dc:relation>IOC-DT-P</dc:relation>
   <dc:relation>2007-7</dc:relation>
   <dc:relation>DPI2004-03104</dc:relation>
   <dc:relation>DPI2005-00112</dc:relation>
   <dc:rights>http://creativecommons.org/licenses/by-nc-nd/2.5/es/</dc:rights>
   <dc:rights>Open Access</dc:rights>
   <dc:rights>Attribution-NonCommercial-NoDerivs 2.5 Spain</dc:rights>
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