Novel Multi View Structure Estimation Based on Barycentric Coordinates

Traditionally, multi-view stereo algorithms estimate three-dimensional structure from corresponding points by linear triangulation or bundle-adjustment. This introduces systematic errors in case of inaccurate camera calibration and partial occlusion. The errors are not negligible in applications requiring high accuracy like micro-metrology or quality inspection. We show how accuracy of structure estimation can be significantly increased by using a barycentric coordinate representation for central perspective projection. Experiments show a reduction of geometric error by 50% compared with bundle adjustment. The error remains almost constantly low, even under partial occlusion.