Compactification of the Rigid Motions Group in Image Processing

DOI10.1137/21M1429448zbMath1492.94018arXiv2106.13505OpenAlexW3173256876MaRDI QIDQ5094631

Tamir Bendory, Nir Sharon, Ido Hadi

Publication date: 4 August 2022

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13505

zbMATH Keywords

compactificationgroup invariantsmultireference alignmentgroup-invariant classification

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Applications of Lie groups to the sciences; explicit representations (22E70)

Uses Software

• SE-Sync

Cites Work

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• Spherical harmonics and approximations on the unit sphere. An introduction
• Optimal rates of estimation for multi-reference alignment
• Fully discrete needlet approximation on the sphere
• Introduction to Smooth Manifolds
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• Synchronization over Cartan Motion Groups via Contraction
• Efficient Spherical Designs with Good Geometric Properties
• Bispectrum Inversion With Application to Multireference Alignment
• The Sample Complexity of Multireference Alignment
• Heterogeneous Multireference Alignment for Images With Application to 2D Classification in Single Particle Reconstruction
• On the Contraction of Groups and Their Representations

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