A medical radiation-based coordinate measuring device is provided which comprises a first image sensor unit and a second image sensor unit for providing a first luminosity characteristics data set and a second luminosity characteristics data set. A data processing unit is provided for determining the object coordinates of object points in the space, which are imaged by means of electromagnetic radiation, by triangulation of the luminosity characteristics data sets. At least one spacing measuring unit for the object points is provided for providing at least one spacing data set. The data processing unit is configured and programmed in such a way that, before the triangulation, it adds a spacing information to at least the first luminosity characteristics data set on the basis of a spacing data set. In addition, a coordinate measuring method is provided.