In this paper, the effect of the existence of a critical set for the projective reconstruction of a scene in P^3 from two views is analyzed directly on the image planes. Corresponding points, which are images of critical points, are linked by a birational map between the two planes which is a quadratic transformation. This transformation is explicitly described and used to investigate the instability phenomena for reconstruction with a new approach.
Critical Loci for Two Views Reconstruction as Quadratic Transformations Between Images / M. Bertolini, L. Magri, C. Turrini. - In: JOURNAL OF MATHEMATICAL IMAGING AND VISION. - ISSN 0924-9907. - 61:9(2019 Nov 24), pp. 1322-1328.
Critical Loci for Two Views Reconstruction as Quadratic Transformations Between Images
M. Bertolini
;L. Magri;C. Turrini
2019
Abstract
In this paper, the effect of the existence of a critical set for the projective reconstruction of a scene in P^3 from two views is analyzed directly on the image planes. Corresponding points, which are images of critical points, are linked by a birational map between the two planes which is a quadratic transformation. This transformation is explicitly described and used to investigate the instability phenomena for reconstruction with a new approach.File | Dimensione | Formato | |
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