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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.05429 |
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| _version_ | 1866929669719195648 |
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| author | Agarwal, Sameer Connelly, Erin Crannell, Annalisa Duff, Timothy Thomas, Rekha R. |
| author_facet | Agarwal, Sameer Connelly, Erin Crannell, Annalisa Duff, Timothy Thomas, Rekha R. |
| contents | When is it possible to project two sets of labeled points lying in a pair of projective planes to the same image on a projective line? We give a complete answer to this question and describe the loci of the projection centers that enable a common image. In particular, we find that there exists a solution to this problem if and only if these two sets are themselves images of a common pointset in projective space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05429 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Computer Vision Problem in Flatland Agarwal, Sameer Connelly, Erin Crannell, Annalisa Duff, Timothy Thomas, Rekha R. Algebraic Geometry When is it possible to project two sets of labeled points lying in a pair of projective planes to the same image on a projective line? We give a complete answer to this question and describe the loci of the projection centers that enable a common image. In particular, we find that there exists a solution to this problem if and only if these two sets are themselves images of a common pointset in projective space. |
| title | A Computer Vision Problem in Flatland |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.05429 |