| Título: | The Absolute Line Quadric and Camera Autocalibration |
| Autores: | Valdés Morales, Antonio ; Ronda Prieto, José Ignacio ; Gallego Bonet, Guillermo |
| Tipo de documento: | texto impreso |
| Fecha de publicación: | 2004-04-04 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = En prensa , Materia = Ciencias: Informática: Inteligencia artificial , Tipo = Artículo |
| Resumen: |
We introduce a geometrical object providing the same information as the absolute conic: the absolute line quadric (ALQ). After the introduction of the necessary exterior algebra and Grassmannian geometry tools, we analyze the Grassmannian of lines of P3 from both the projective and Euclidean points of view. The exterior algebra setting allows then to introduce the ALQ as a quadric arising very naturally from the dual absolute quadric. We fully characterize the ALQ and provide clean relationships to solve the inverse problem, i.e., recovering the Euclidean structure of space from the ALQ. Finally we show how the ALQ turns out to be particularly suitable to address the Euclidean autocalibration of a set of cameras with square pixels and otherwise varying intrinsic parameters, providing new linear and non-linear algorithms for this problem. We also provide experimental results showing the good performance of the techniques. |
| En línea: | https://eprints.ucm.es/id/eprint/5065/1/IJCV2004_LAST.pdf |
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