The conformality of the self-organizing network is studied in this work. We use multi-dimensional deformation analyses to interpret the self-organizing mapping. It can be shown that this mapping is quasi-conformal with a convergent deformation bound. Based on analyses, a deformation measure and a non-conformality measure are derived to indicate the evolution status of the network. These measures can serve as new criteria to evolve the network. We test these measures with simulations on surface mapping problems.
Liou, C. Y., & Tai, W. P. (2000). Conformality in the self-organization network. Artificial Intelligence, 116(1–2), 265–286. https://doi.org/10.1016/S0004-3702(99)00093-4