Exercise · ZW-LDDMM-006 · ★★★ Advanced

A method chains many pairwise registrations and reaches the target. Which conclusion is NOT justified by that fact alone?

Choose one option.

Show answer
  • A. That the composed trajectory is a minimum-energy geodesic

Explanation

Chaining pairwise registrations shows that a composed transformation exists and that each step contributes, but not that it is a minimum-energy geodesic.

Open the ZWMath map →

Review the concept: LDDMM

LDDMM (Large Deformation Diffeomorphic Metric Mapping) is a registration framework that looks for a smooth diffeomorphic deformation \(\varphi_t\), generated by a vector field \(v_t\), with minimum energy \(E_{\min}\).

\[\begin{gathered}\dot{\varphi}_t=v_t\circ\varphi_t\\\varphi_0=\operatorname{id}\end{gathered}\]

More practice problems: lddmm

← ZW-LDDMM-005 ZW-LDDMM-007 →