The Reachability problem in constructive geometric constraint solving based dynamic geometry

An important issue in dynamic geometry is the reachability problem that asks whether there is a continuos path that, from a given starting geometric configuration, continuously leads to an ending configuration. In this work we report on a technique to compute a continuous evaluation path, if one exi...

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Detalles Bibliográficos
Autores: Hidalgo Garcia, Marta, Joan Arinyo, Robert|||0000-0002-1896-2940
Tipo de recurso: informe técnico
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/91262
Acceso en línea:https://hdl.handle.net/2117/91262
Access Level:acceso abierto
Palabra clave:Dynamic geometry
Constructive geometric constraint solving
Reachability
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descripción
Sumario:An important issue in dynamic geometry is the reachability problem that asks whether there is a continuos path that, from a given starting geometric configuration, continuously leads to an ending configuration. In this work we report on a technique to compute a continuous evaluation path, if one exists, that solves the reachability problem for geometric constructions with one variant parameter. The technique is developed in the framework of a constructive geometric constraint-based dynamic geometry system, uses the A* algorithm and minimizes the variant parameter arc length.