A Purely Algebraic Justification of the Kabsch–Umeyama Algorithm¶
Lawrence, J., Bernal, J., & Witzgall, C. (2019). A Purely Algebraic Justification of the Kabsch–Umeyama Algorithm. Journal of Research of the National Institute of Standards and Technology.
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Domain-specific¶
- Euclidean Space
- Computer vision, robotics, and graphics. Point clouds and rigid bodies are registered using rotations and translations; the preservation of pairwise distances separates rigid motion from deformation.
This sourceProves the reduction of orientation-preserving rigid point-set registration in Euclidean space to constrained orthogonal Procrustes alignment.
- Computer vision, robotics, and graphics. Point clouds and rigid bodies are registered using rotations and translations; the preservation of pairwise distances separates rigid motion from deformation.
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