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.
Critical loci; Two views projection; Quadratic transformation; Epipolar geometry
Settore MAT/03 - Geometria
Settore INF/01 - Informatica
24-nov-2019
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/681936
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