Topics to be covered:

Introduction to images and transformations.

- Forward and backward models for image deformations.

- Landmark based registration: landmark detection, parameterized models, regularized models, implementation issues.

- Principal axes based registration: introduction to principal axes, transformation properties, implementation issues.

- Images as functions: embedding, discretization, quantization.

- Image distance measures: sum of squared differences, cross-correlation,mutual information, normalized gradient fields.

- Parametric registration: modeling, numerical and implementation issues.

- Non-parametric registration: well-posedness, regularization, physical models, elasticity.

- Numerical methods for non-parametric registration: discretization, sparse representations, optimization.