Existence of Two View Chiral Reconstructions

نویسندگان

چکیده

A fundamental question in computer vision is whether a set of point pairs the image scene that lies front two cameras. Such and cameras together are known as chiral reconstruction pairs. In this paper, we provide complete classification $k$ for which exists. The existence reconstructions equivalent to nonemptiness certain semialgebraic sets. We describe these sets develop tools certify their nonemptiness. For up three pairs, prove always exists while five or more do not have Zariski-dense. show generic region bounded by line segments Schläfli double six on cubic surface with 27 real lines. Four unless they belong nongeneric combinatorial types, case may not.

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ژورنال

عنوان ژورنال: SIAM Journal on Applied Algebra and Geometry

سال: 2022

ISSN: ['2470-6566']

DOI: https://doi.org/10.1137/20m1381848