Chapter 4

Analytic Vector Field Regularization for B-spline Parameterized Methods

Information in This Chapter:

• Theory and Mathematical Formalism behind Analytical Regularization

• Algorithmic Implementation

• Performance Evaluation and Sensitivity Analysis

4.1 Introduction

B-spline-based deformable registration has become a popular method for deriving coordinate system transforms between image volumes exhibiting complex local variations due to its compact local support, rapid computation, and applicability to both single and multimodalities. Such transforms allow nonrigid structures to be mapped between images and provide a quantitative measure of local motion and volumetric change over time. However, due to the inherent ill-posed nature ...

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