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. Author manuscript; available in PMC: 2022 Mar 29.
Published in final edited form as: Proc IEEE Int Conf Comput Vis. 2021 Oct;2021:3376–3385. doi: 10.1109/iccv48922.2021.00338

Figure 2:

Figure 2:

Source and target functions for a 1D registration example. Panels (c) and (d) show two possible solutions for mean square error (MSE) and OMT, respectively. In both cases, solutions may not be unique. However, for OMT, matching solutions will be one-to-one, i.e., invertible. OMT imposes a stronger constraint than MSE on the obtainable maps, but irregular maps are still permissible.