Well-Conditioned Polynomial Representations for Mathematical Handwriting Recognition
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917086174904320 |
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| author | Corless, Robert M. Kalhan, Deepak Singh Watt, Stephen M. |
| author_facet | Corless, Robert M. Kalhan, Deepak Singh Watt, Stephen M. |
| contents | Previous work has made use of a parameterized plane curve polynomial representation for mathematical handwriting, with the polynomials represented in a Legendre or Legendre-Sobolev graded basis. This provides a compact geometric representation for the digital ink. Preliminary results have also been shown for Chebyshev and Chebyshev-Sobolev bases. This article explores the trade-offs between basis choice and polynomial degree to achieve accurate modeling with a low computational cost. To do this, we consider the condition number for polynomial evaluation in these bases and bound how the various inner products give norms for the variations between symbols. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Well-Conditioned Polynomial Representations for Mathematical Handwriting Recognition Corless, Robert M. Kalhan, Deepak Singh Watt, Stephen M. Computer Vision and Pattern Recognition Previous work has made use of a parameterized plane curve polynomial representation for mathematical handwriting, with the polynomials represented in a Legendre or Legendre-Sobolev graded basis. This provides a compact geometric representation for the digital ink. Preliminary results have also been shown for Chebyshev and Chebyshev-Sobolev bases. This article explores the trade-offs between basis choice and polynomial degree to achieve accurate modeling with a low computational cost. To do this, we consider the condition number for polynomial evaluation in these bases and bound how the various inner products give norms for the variations between symbols. |
| title | Well-Conditioned Polynomial Representations for Mathematical Handwriting Recognition |
| topic | Computer Vision and Pattern Recognition |
| url | https://arxiv.org/abs/2509.10815 |