Rao distances and Conformal Mapping

In this article, we have described the Rao distance (due to C.R. Rao) and ideas of conformal mappings on 3D objects with angle preservations. Three propositions help us to construct distances between the points within the 3D objects in $\mathbb{R}$^{3} and line integrals within complex planes. We highlight the application of these concepts to virtual tourism.