Dynamic geometry based on geometric constraints
Dynamic geometry systems are tools for geometric visualization. They allow the user to define geometric elements, establish relationships between them and explore the dynamic behavior of the remaining geometric elements when one of them is moved. The main problem in dynamic geometry systems is the a...
| Authors: | ; ; ; |
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| Format: | Report |
| Publication date: | 2007 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/87511 |
| Online Access: | https://hdl.handle.net/2117/87511 |
| Access Level: | Open access |
| Keyword: | Dynamic geometry Geometric constraint solving Àrees temàtiques de la UPC::Informàtica::Infografia |
| _version_ | 1878741145584926720 |
|---|---|
| author | Freixas Boleda, Marc |
| author2 | Joan Arinyo, Robert|||0000-0002-1896-2940 Soto Riera, Antoni|||0000-0002-6136-1964 Vila Marta, Sebastià|||0000-0001-9069-1340 |
| author2_role | author author author |
| author_browse | Freixas Boleda, Marc Joan Arinyo, Robert|||0000-0002-1896-2940 Soto Riera, Antoni|||0000-0002-6136-1964 Vila Marta, Sebastià|||0000-0001-9069-1340 |
| author_facet | Freixas Boleda, Marc Joan Arinyo, Robert|||0000-0002-1896-2940 Soto Riera, Antoni|||0000-0002-6136-1964 Vila Marta, Sebastià|||0000-0001-9069-1340 |
| author_role | author |
| collection | UPCommons. Portal del coneixement obert de la UPC |
| description | Dynamic geometry systems are tools for geometric visualization. They allow the user to define geometric elements, establish relationships between them and explore the dynamic behavior of the remaining geometric elements when one of them is moved. The main problem in dynamic geometry systems is the ambiguity that arises from operations which lead to more than one possible solution. While the user is defining the geometric construction, he is responsible to resolve these ambiguities. However, when the user is dragging a geometric element, the system is responsible to choose the intended solution, that is, the same solution that the user would select if we could ask him again. Most dynamic geometry systems deal with this problem in such a way that the solution selection method leads to a fixed dynamic behavior of the system. This is specially annoying when this behavior is not the one the user intended. In this work we propose an architecture for dynamic geometry systems built upon a set of functional units which will allow to apply some well known results from the Geometric Constraint Solving field. A functional unit called emph{filter} will provide the user with tools to unambiguously capture the expected dynamic behavior of a given geometric problem. |
| eu_rights_str_mv | openAccess |
| format | report |
| id | ES_dff46c99e489f2b84a31e32cee9ece7b |
| institution | Universitat Politècnica de Catalunya (UPC) |
| instname_str | Universitat Politècnica de Catalunya (UPC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:upcommons.upc.edu:2117/87511 |
| publishDate | 2007 |
| publishDateSort | 2007 |
| reponame_str | UPCommons. Portal del coneixement obert de la UPC |
| spelling | Dynamic geometry based on geometric constraints Freixas Boleda, Marc Joan Arinyo, Robert|||0000-0002-1896-2940 Soto Riera, Antoni|||0000-0002-6136-1964 Vila Marta, Sebastià|||0000-0001-9069-1340 Dynamic geometry Geometric constraint solving Àrees temàtiques de la UPC::Informàtica::Infografia Dynamic geometry systems are tools for geometric visualization. They allow the user to define geometric elements, establish relationships between them and explore the dynamic behavior of the remaining geometric elements when one of them is moved. The main problem in dynamic geometry systems is the ambiguity that arises from operations which lead to more than one possible solution. While the user is defining the geometric construction, he is responsible to resolve these ambiguities. However, when the user is dragging a geometric element, the system is responsible to choose the intended solution, that is, the same solution that the user would select if we could ask him again. Most dynamic geometry systems deal with this problem in such a way that the solution selection method leads to a fixed dynamic behavior of the system. This is specially annoying when this behavior is not the one the user intended. In this work we propose an architecture for dynamic geometry systems built upon a set of functional units which will allow to apply some well known results from the Geometric Constraint Solving field. A functional unit called emph{filter} will provide the user with tools to unambiguously capture the expected dynamic behavior of a given geometric problem. https://hdl.handle.net/2117/87511 |
| spellingShingle | Dynamic geometry based on geometric constraints Freixas Boleda, Marc Dynamic geometry Geometric constraint solving Àrees temàtiques de la UPC::Informàtica::Infografia |
| title | Dynamic geometry based on geometric constraints |
| title_full | Dynamic geometry based on geometric constraints |
| title_fullStr | Dynamic geometry based on geometric constraints |
| title_full_unstemmed | Dynamic geometry based on geometric constraints |
| title_short | Dynamic geometry based on geometric constraints |
| title_sort | Dynamic geometry based on geometric constraints |
| topic | Dynamic geometry Geometric constraint solving Àrees temàtiques de la UPC::Informàtica::Infografia |
| topic_facet | Dynamic geometry Geometric constraint solving Àrees temàtiques de la UPC::Informàtica::Infografia |
| url | https://hdl.handle.net/2117/87511 |