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Gradient Calculations for Nonrigid Surface Registration

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arxiv 2401.02449 v1 pith:5VEW5PS3 submitted 2024-01-03 math.OC

classification math.OC
keywords rightarrowsurfacecloserregistrationalignalignmentapplyingback
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abstract

The goal of rigid registration is to align a source surface $ X $ to a target surface $ Y $. The alignment process involves iteratively transforming $ X $ closer and closer to $ Y $, such that $ X=Z^0 \rightarrow Z^1 \rightarrow Z^2 \rightarrow ... \rightarrow Z^T=Y $. By applying two simplifications, we can trace the minimization problem back to solving a system of linear equations.

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