Reduced Multilinear Constraints: Theory and Experiments

摘要

This paper deals with the problem of reconstructing the locations of n points in space from m different images without camera calibration. We will show how these reconstruction problems for different n and m can be put into a similar theoretical framework. This will be done using a special choice of coordinates, both in the object and in the images, called reduced affine coordinates. This choice of coordinates simplifies the analysis of the multilinear geometry and gives simpler forms of the multilinear tensors.