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Computing Geometric...
Computing Geometric Feature Sizes for Algebraic Manifolds
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- Di Rocco, Sandra (författare)
- KTH,Matematik (Avd.),KTH Royal institute of Technology, Sweden
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- Edwards, Parker B. (författare)
- Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA.;Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA.,University of Notre Dame, United States
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- Eklund, David (författare)
- RISE,Industriella system,RISE Res Inst Sweden, S-16440 Kista, Sweden.
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- Gafvert, Oliver (författare)
- Univ Oxford, Math Inst, Oxford OX2 6GG, England.,University of Oxford, United Kingdom
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- Hauenstein, Jonathan D. (författare)
- Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA.,University of Notre Dame, United States
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KTH Matematik (Avd) (creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2023
- 2023
- Engelska.
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Ingår i: SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY. - : Society for Industrial & Applied Mathematics (SIAM). - 2470-6566. ; 7:4, s. 716-741
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We introduce numerical algebraic geometry methods for computing lower bounds on the reach, local feature size, and weak feature size of the real part of an equidimensional and smooth algebraic variety using the variety's defining polynomials as input. For the weak feature size, we also show that nonquadratic complete intersections generically have finitely many geometric bottlenecks, and we describe how to compute the weak feature size directly rather than a lower bound in this case. In all other cases, we describe additional computations that can be used to determine feature size values rather than lower bounds.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- bottlenecks
- reach
- numerical algebraic geometry
- topological data analysis
- weak feature size
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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