Building realistic 3D digital worlds is crucial for advancing traditional applications such as film animation and virtual reality, and it also provides key support for emerging fields like robot learning, particularly for applications aimed at the evolution of embodied intelligence. Within the 3D digital world, environment and characters are essential elements that are not typically isolated. Just as humans live in a 3D world, we constantly interact with our surroundings to carry out various activities and achieve different goals, and it is through these interactions with the environment that intelligence grows. Therefore, modeling and generating interactions is of paramount importance for constructing such a 3D world. I will introduce several works that try to address several key questions related to 3D Interaction Modeling and Generation, especially from a geometric perspective.

Building realistic 3D digital worlds is crucial for advancing traditional applications such as film animation and virtual reality, and it also provides key support for emerging fields like robot learning, particularly for applications aimed at the evolution of embodied intelligence. Within the 3D digital world, environment and characters are essential elements that are not typically isolated. Just as humans live in a 3D world, we constantly interact with our surroundings to carry out various activities and achieve different goals, and it is through these interactions with the environment that intelligence grows. Therefore, modeling and generating interactions is of paramount importance for constructing such a 3D world. I will introduce several works that try to address several key questions related to 3D Interaction Modeling and Generation, especially from a geometric perspective.