Extracting Projective Information from Single Views of 3D Point Sets

摘要

The construction of projective invariants for structured three dimensional pointsets is investigated. It is shown how to cage points within a polyhedral structure and then introduce indexing functions for polyhedra. The index measures are projective and so no knowledge of the intrinsic parameters of the camera are required. This also enables full use of the perspective imaging model to be used. The results are preliminary, and only introduce the constructs for forming the invariants. The examples of the invariant measures are for synthetic projections of simple polyhedra. Future work will test the paradigm thoroughly in real objects and images.