This paper delves into the theoretical relationship between maximum clique and maximum consensus formulations used in point cloud registration for robotics. Researchers demonstrate that maximum clique can exhibit significant alignment errors and be substantially larger than the maximum consensus set, even with a fixed tolerance. The study also derives specific error bounds and characterizations for the translation subproblem when rotation is fixed, and establishes minimum group sizes for alignment error bounds independent of scale and geometry. AI
RANK_REASON Academic paper on theoretical formulations in robotics. [lever_c_demoted from research: ic=1 ai=0.4]
- Abolfazl Babanazari
- arXiv
- Hugging Face
- Lean Theorem Prover
- maximum clique
- Maximum Consensus Floating Point Solutions for Infeasible Low-Dimensional Linear Programs with Convex Hull as the Intermediate Representation
- Point cloud registration with error propagation
- robotics
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