Towards Stratified Space Learning: 2-complexes

Key Points

• The aim is to develop an algorithm that learns the abstract structure of embedded 2-complexes from point clouds.
• Developed an algorithm for detecting the structure of 2-complexes
• Utilized computational geometry and algebraic topology techniques
• Proved correctness of the identified structure under specific embedding conditions
• Successfully identified abstract structures from sampled point clouds
• Demonstrated accuracy of the learning process under certain assumptions
• Provided a framework for further studies in stratified space learning