Computing Geometric Feature Sizes for Algebraic Manifolds-Reference-Cited by-同舟云学术

Computing Geometric Feature Sizes for Algebraic Manifolds

Published:2023-11-09 Issue:4 Volume:7 Page:716-741
ISSN:2470-6566
Container-title:SIAM Journal on Applied Algebra and Geometry
language:en
Short-container-title:SIAM J. Appl. Algebra Geometry

Author:

Di Rocco Sandra¹,Edwards Parker B.²^ORCID,Eklund David³,Gäfvert Oliver⁴,Hauenstein Jonathan D.⁵^ORCID

Affiliation:

1. Department of Mathematics, KTH, 10044, Stockholm, Sweden.

2. Corresponding author. Department of Applied Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556 USA. Current address: Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431 USA.

3. RISE, Research Institutes of Sweden, 16440, Kista, Sweden.

4. Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK.

5. Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556 USA.

Funder

Bristol-Myers Squibb Canada

National Science Foundation

Engineering and Physical Sciences Research Council

Vetenskapsrådet

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Reference52 articles.

1. Estimating the reach of a manifold

2. Surface Reconstruction by Voronoi Filtering

3. Vietoris–Rips complexes also provide topologically correct reconstructions of sampled shapes

4. Computing the first few Betti numbers of semi-algebraic sets in single exponential time

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