TY - JOUR
AU - BrĂ¥telund, Martin
PY - 2023/10/26
Y2 - 2023/12/11
TI - Critical configurations for three projective views
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 129
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-139788
UR - https://www.mscand.dk/article/view/139788
SP -
AB - <p>The problem of structure from motion is concerned with recovering the 3-dimensional structure of an object from a set of 2-dimensional images taken by unknown cameras. Generally, all information can be uniquely recovered if enough images and point correspondences are provided, yet there are certain cases where unique recovery is impossible; these are called \emph{critical configurations}. We use an algebraic approach to study the critical configurations for three projective cameras. We show that all critical configurations lie on the intersection of quadric surfaces, and classify exactly which intersections constitute a critical configuration.</p>
ER -