@inbook {IOPORT.05245229, author = {Bertolini, Marina and Besana, Gian Mario and Turrini, Cristina}, title = {Instability of projective reconstruction from 1-view near critical configurations in higher dimensions.}, year = {2007}, booktitle = {Algebra, geometry and their interactions. International conference on Midwest algebra, geometry and their interactions, MAGIC' 05, Notre Dame, IN, USA, October 7--11, 2005}, isbn = {978-0-8218-4094-8}, pages = {1-12}, publisher = {Providence, RI: American Mathematical Society (AMS)}, abstract = {Summary: This work is concerned with applications of algebraic geometry to computer vision. Critical configurations and critical loci for projective reconstructions from 1 view in any dimension are rigorously defined. Irreducible critical loci are described. Instability of the reconstruction for configurations of points that are close to being critical is verified via a series of simulated experiments using {\tt MATLAB}.}, identifier = {05245229}, }