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October 20, 2025Open Access

Universal Gröbner Bases of (Universal) Multiview Ideals

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Authors

TDTimothy DuffJKJack KendrickRTRekha R. Thomas

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Overview

This study demonstrates a universal gröbner basis for multiview ideals, suggesting new geometric insights.

Key Points

  • The research identifies a universal gröbner basis for multiview ideals, enhancing understanding of image formation.
  • Utilizing a criterion by Huang and Larson, the study proves the relevance of specific polynomials in this context.
  • Symmetry reduction and induction successfully apply the findings to an infinite array of multiview ideals.
  • The implicit matroid structures essential to the method's approach are also explicitly characterized within the study.

Cite This Study

Duff et al. (2025) studied this question.

synapsesocial.com/papers/68f6196ee0bbbc94fac362c0https://doi.org/10.48550/arxiv.2509.12376
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