%0 Journal Article
%A Valdés Morales, Antonio
%A Ronda Prieto, José Ignacio
%A Gallego Bonet, Guillermo
%T The Absolute Line Quadric and Camera Autocalibration
%D 2004
%@ 0920-5691 (Print) 1573-1405 (Online)
%U https://hdl.handle.net/20.500.14352/52265
%X We introduce a geometrical object providing the same informationas the absolute conic: the absolute line quadric (ALQ). After the introductionof the necessary exterior algebra and Grassmannian geometry tools, we analyzethe Grassmannian of lines of P3 from both the projective and Euclidean pointsof view. The exterior algebra setting allows then to introduce the ALQ as aquadric arising very naturally from the dual absolute quadric. We fully characterizethe ALQ and provide clean relationships to solve the inverse problem,i.e., recovering the Euclidean structure of space from the ALQ. Finally we showhow the ALQ turns out to be particularly suitable to address the Euclideanautocalibration of a set of cameras with square pixels and otherwise varyingintrinsic parameters, providing new linear and non-linear algorithms for thisproblem. We also provide experimental results showing the good performanceof the techniques.
%~