Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910893512589312 |
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| author | Hoxhaj, Eriola Menjanahary, Jean Michel Schicho, Josef |
| author_facet | Hoxhaj, Eriola Menjanahary, Jean Michel Schicho, Josef |
| contents | The task of recognizing an algebraic surface from a single apparent contour can be reduced to the recovering of a homogeneous equation in four variables from its discriminant. In this paper, we use the fact that Darboux cyclides have a singularity along the absolute conic in order to recognize them up to Euclidean similarity transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_05209 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture Hoxhaj, Eriola Menjanahary, Jean Michel Schicho, Josef Algebraic Geometry The task of recognizing an algebraic surface from a single apparent contour can be reduced to the recovering of a homogeneous equation in four variables from its discriminant. In this paper, we use the fact that Darboux cyclides have a singularity along the absolute conic in order to recognize them up to Euclidean similarity transformations. |
| title | Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2208.05209 |