Reconstructing Evolving Tree Structures in Time Lapse Sequences by Enforcing Time-Consistency - Appendix

In Section 4, we described briefly how temporal consistency could be enforced by incorporating into the objective function of Eq. 2 a penalty term involving the flow variables used to solve the QMIP problem of Eq. 3. In this Section, we justify the form of this additional term in more detail. We first define the constraints that must be imposed on the flow variables to ensure temporal consistency and then derive the complete objective function accordingly.