基于约束的动态几何系统

Marc Freixas, R. Joan-Arinyo, Antoni Soto-Riera
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引用次数: 23

摘要

动态几何系统是几何可视化的工具。它们允许用户定义几何元素,建立它们之间的关系,并在其中一个几何元素移动时探索剩余几何元素的动态行为。动态几何系统的主要问题是由导致多个可能解的操作引起的模糊性。大多数动态几何系统处理这个问题的方式是,解选择方法导致系统的固定动态行为。当观察到的行为不是用户想要的行为时,这尤其令人恼火。在这项工作中,我们提出了一种基于一组功能单元的动态几何系统的模块化体系结构,这将允许应用几何约束求解领域的一些众所周知的结果。一个称为过滤器的功能单元将为用户提供工具,以明确地捕获给定几何问题的预期动态行为。
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A constraint-based dynamic geometry system
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. 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 the behavior observed is not the one the user intended. In this work we propose a modular 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 filter will provide the user with tools to unambiguously capture the expected dynamic behavior of a given geometric problem.
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