Euclidean and Affine Curve Reconstruction
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910391103127552 |
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| author | Agudelo, Jose Dippold, Brooke Klein, Ian Kokot, Alex Geiger, Eric Kogan, Irina |
| author_facet | Agudelo, Jose Dippold, Brooke Klein, Ian Kokot, Alex Geiger, Eric Kogan, Irina |
| contents | We consider practical aspects of reconstructing planar curves with prescribed Euclidean or affine curvatures. These curvatures are invariant under the special Euclidean group and the equi-affine groups, respectively, and play an important role in computer vision and shape analysis. We discuss and implement algorithms for such reconstruction, and give estimates on how close reconstructed curves are relative to the closeness of their curvatures in appropriate metrics. Several illustrative examples are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_09929 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Euclidean and Affine Curve Reconstruction Agudelo, Jose Dippold, Brooke Klein, Ian Kokot, Alex Geiger, Eric Kogan, Irina Differential Geometry Computer Vision and Pattern Recognition 53A04, 53A15, 53A55, 34A45, 68T45 We consider practical aspects of reconstructing planar curves with prescribed Euclidean or affine curvatures. These curvatures are invariant under the special Euclidean group and the equi-affine groups, respectively, and play an important role in computer vision and shape analysis. We discuss and implement algorithms for such reconstruction, and give estimates on how close reconstructed curves are relative to the closeness of their curvatures in appropriate metrics. Several illustrative examples are provided. |
| title | Euclidean and Affine Curve Reconstruction |
| topic | Differential Geometry Computer Vision and Pattern Recognition 53A04, 53A15, 53A55, 34A45, 68T45 |
| url | https://arxiv.org/abs/2201.09929 |