LHCb VELO software alignment - PART II: the alignment of the VELO detector-halves

The software alignment of the Vertex Locator (VELO) is a critical component of the LHCb alignment strategy. This note demonstrates a potential algorithm to perform the alignment of the VELO detector-halves. The approach described in this document, and the tools developed, are also applicable to the alignment of the other LHCb sub-systems and the global relative alignment of the sub-detectors.