The Inverse Problem of Electrocardiology

The following sections are included:

• Introduction

• The Inverse Problem

• Transfer Matrices

• Singular Value Decomposition (SVD)

• Potential-based Inverse Algorithms

  • Tikhonov Regularisation

  • Truncated SVD (TSVD)

  • Greensite Potential-Based Inverse

• Activation-based Inverse Algorithm

• Determining the Regularisation Parameters

  • Optimal Criterion

  • L-Curve Criterion

  • CRESO Criterion

  • Zero-Crossing Criterion

• Validation Approaches

  • Simulation Studies

  • Experimental Validation

• Modelling Aspects

• The Outlook

• Open Questions, Issues and Challenges