RT Journal Article
T1 Euclidean upgrading from segment lengths
A1 Ronda Prieto, José Ignacio
A1 Valdés Morales, Antonio
AB We address the problem of the recovery of Euclidean structure of a projectively distorted n-dimensional space from the knowledge of segment lengths. Thisproblem is relevant, in particular, for Euclidean reconstruction with uncalibrated cameras, extending previously known results in the affine setting. The key concept is the Quadric of Segments (QoS), defined in a higher-dimensional space by the set of segmentsof a fixed length from which Euclidean structure can be obtained in closed form. We have intended to make a thorough study of the properties of the QoS, including thedetermination of the minimum number of segments of arbitrary length that determine it and its relationship with the standard geometric objects associated to the Euclidean structure of space. Explicit formulas are given to obtain the dual absolute quadric and the absolute quadratic complex from the QoS. Experiments with real and synthetic images evaluate the performance of the techniques.
PB Springer
SN 0920-5691 (Print) 1573-1405 (Online)
YR 2010
FD 2010-12
LK https://hdl.handle.net/20.500.14352/41747
UL https://hdl.handle.net/20.500.14352/41747
LA eng
NO Plan Nacional I+D+i
NO Spanish Administration agency CDTI
NO MCI
DS Docta Complutense
RD 6 abr 2025