2019/02/01 by Marina Bertolini, Bertolini, Marina, GianMario Besana +5
Computer Science · Mathematics · #Advanced Image and Video Retrieval Techniques #Advanced Vision and Imaging #Algebraic Geometry (math.AG) #FOS: Mathematics #Medical Image Segmentation Techniques #math.AG
paper · pdf · doi:10.48550/arxiv.1902.00376
23 pages, 3 figures
arxiv created 2019/02/01 · openalex publication_date 2019/02/01 · arxiv updated 2019/02/04 · openalex created_date 2019/02/21 · openalex updated_date 2026/07/28
Critical loci for projective reconstruction from three views in four dimensional projective space are defined by an ideal generated by maximal minors of suitable 4 × 3 matrices, N, of linear forms. Such loci are classified in this paper, in the case in which N drops rank in codimension one, giving rise to reducible varieties. This leads to a complete classification of matrices of size (n+1) × n for n ≤ 3, which drop rank in codimension one. Instability of reconstruction near non-linear components of critical loci is explored experimentally.