Deformable Image Registration with Hyperelastic Warping - Biomedical Image Analysis - page 517

Questions

Question 1: How are the principles of continuum mechanics used to regularize
the deformable image registration problem involving the deformation of a
template image into alignment with a target image? What are the primary
advantages of this approach to regularization of the deformable image problem
in comparison to ad hoc methods?

Question 2: What is the purpose of the regularization term W in the de-
formable image registration problem?

Question 3: What is meant by treating the image data as a “hard con-

straint” in the deformable image registration problem?

Question 4: In Hyperelastic Warping, in the limit as the penalty parame-
ter λ →∞ , the image-based energy converges to a finite value. Explain.

Question 5: Treating the image data as a hard constraint may cause
the stiffness matrix to become ill-conditioned. How does the augmented
Lagrangian method solve this problem?

Question 6: What is the role of the stiffness quantities in the solution

procedure?

Question 7: How is sequential low-pass-filtering used in Hyperelastic Warping
to keep from converging to local minima in the solution?

Question 8: When using a regular mesh for Hyperelastic Warping, why is
rezoning needed?

Question 9: How is mechanical stress calculated with Hyperelastic Warp-
ing?