Nonasymptotic densities for shape reconstruction

DOI10.1155/2014/341910zbMath1472.49062arXiv1308.2457OpenAlexW1979932613WikidataQ59036264 ScholiaQ59036264MaRDI QIDQ1723894

Sharif Ibrahim, Kevin Sonnanburg, Kevin R. Vixie, Thomas J. Asaki

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2457

zbMATH Keywords

integral area invariantreconstructing shapesreconstruction of polygons/curves

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15)

Uses Software

• OrthoMADS

Cites Work

• Unnamed Item
• Identifiability and reconstruction of shapes from integral invariants
• Globalization strategies for mesh adaptive direct search
• Local uniqueness of the circular integral invariant
• Shape Reconstruction with A Priori Knowledge Based on Integral Invariants
• Convergence of Mesh Adaptive Direct Search to Second‐Order Stationary Points
• OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions
• On the Circular Area Signature for Graphs
• Mesh Adaptive Direct Search Algorithms for Constrained Optimization
• Computer Vision - ECCV 2004

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