Papers › Diffeomorphic ICP Registration for Single and Multiple Point Sets

Diffeomorphic ICP Registration for Single and Multiple Point Sets

21 Jan 2025arXiv:2501.11986archive 2025-07-28

Adrien Wohrer

We propose a generalization of the iterative closest point (ICP) algorithm for point set registration, in which the registration functions are non-rigid and follow the large deformation diffeomorphic metric mapping (LDDMM) framework. The algorithm is formulated as a well-posed probabilistic inference, and requires to solve a novel variation of LDDMM landmark registration with an additional term involving the Jacobian of the mapping. The algorithm can easily be generalized to construct a diffeomorphic, statistical atlas of multiple point sets. The method is successfully validated on a first set of synthetic data.

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