On a realization of motion and similarity group equivalence classes of labeled points in $\mathbb R^k$ with applications to computer vision

We study a realization of motion and similarity group equivalence classes of $n\geq 1$ labeled points in $\mathbb R^k,\, k\geq 1$ as a metric space with a computable metric. Our study is motivated by applications in computer vision.

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Bibliographic Details
Main Authors Damelin, Steven B, Ragozin, David L, Werman, Michael
Format Journal Article
LanguageEnglish
Published 24.03.2021
Subjects
Computer Science - Computer Vision and Pattern Recognition
Mathematics - Group Theory
Mathematics - Optimization and Control
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Summary:We study a realization of motion and similarity group equivalence classes of $n\geq 1$ labeled points in $\mathbb R^k,\, k\geq 1$ as a metric space with a computable metric. Our study is motivated by applications in computer vision.
DOI:10.48550/arxiv.2103.12980