Abstract: Interaction is one important technology of multi-sense intercommunion and collaboration between user in collaborative virtual environments.At present，because of lack of researching the interactive technology systemically and comprehensively，the depth of interaction in virtual geographic environments is obvious insufficient，which effects the efficiency of collaborative work greatly.Therefore，the set theory is introduced into the interaction technology of virtual geographic environments firstly in the paper.According to different interacted objected，the complicated interaction is analyzed and researched systemically，which is divided into six types of interaction by using the set theory.On the basis，the Agent technology is used to construct the intelligent semantic object model in order to helping the execution of interaction efficiently.And the VTK and Cal3D development package is applied to construct the virtual geographic environments system and implement the multi-interaction between avatars and intelligent objects.

Key words: collaborative virtual environments, interaction, set theory, avatar

摘要： 交互技术是协同虚拟环境中实现用户间的多感知（视觉、听觉、触觉等）交流与协作的重要手段。目前，在协同虚拟环境中，由于对存在的交互种类缺乏系统、全面的研究方法，从而用户交互程度明显不足，严重影响了地理协同工作。将集合论思想引入到协同虚拟环境的交互中，首次系统、完备性地分析了协同虚拟环境中存在的交互类型，将复杂的交互研究简化为6类交互的组合。在此基础上，采用Agent技术构建了智能语义物体模型以辅助交互的实现，并应用VTK和Cal3D软件开发包，实现了协同虚拟环境中基于化身的多种交互。

关键词: 协同虚拟环境, 交互, 集合论, 化身