A Subspace-Constrained Tyler's Estimator and its Applications to Structure from Motion

arXiv:2404.11590v1 Announce Type: new
Abstract: We present the subspace-constrained Tyler's estimator (STE) designed for recovering a low-dimensional subspace within a dataset that may be highly corrupted with outliers. STE is a fusion of the Tyler's M-estimator (TME) and a variant of the fast median subspace. Our theoretical analysis suggests that, under a common inlier-outlier model, STE can effectively recover the underlying subspace, even when it contains a smaller fraction of inliers relative to other methods in the field of robust …

abstract analysis applications arxiv cs.cv dataset estimator fusion low median outliers tyler type