Geometric tomography with topological guarantees

DOI10.1007/s00454-013-9531-zzbMath1310.68196OpenAlexW2066888277MaRDI QIDQ393725

Omid Amini, Pooran Memari, Jean-Daniel Boissonnat

Publication date: 24 January 2014

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-013-9531-z

zbMATH Keywords

homotopy equivalencegeometric tomographyreliable reconstructionsampling conditionsshape reconstruction from cross-sectionstopological guaranties

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Foliations in differential topology; geometric theory (57R30)

Related Items (2)

Topology-based goodness-of-fit tests for sliced spatial data ⋮ Topology-constrained surface reconstruction from cross-sections

Uses Software

• CTI

Cites Work

• Unnamed Item
• Unnamed Item
• Surface reconstruction between simple polygons via angle criteria
• Classifying spaces and spectral sequences
• Sur la forme des espaces topologiques et sur les points fixes des représentations
• Curvature Measures
• Efficient surface reconstruction from contours based on two-dimensional Delaunay triangulation
• A triangulation algorithm from arbitrary shaped multiple planar contours
• Approximating Complex Surfaces by Triangulation of Contour Lines
• Optimal surface reconstruction from planar contours
• Contour interpolation by straight skeletons
• Piecewise-Linear Interpolation between Polygonal Slices
• Geometric tomography with topological guarantees
• A condition for isotopic approximation
• Algorithmic topology and classification of 3-manifolds
• Robust and efficient surface reconstruction from contours

This page was built for publication: Geometric tomography with topological guarantees