A processing system comprises a processor and a memory having computer readable instructions stored thereon. The computer readable instructions, when executed by the processor, cause the system to receive a reference three-dimensional volumetric representation of a branched anatomical formation in a reference state and obtain a reference tree of nodes and linkages based on the reference three-dimensional volumetric representation. The computer readable instructions also cause the system to obtain a reference three-dimensional geometric model based on the reference tree and detect deformation of the branched anatomical formation due to anatomical motion based on measurements from a shape sensor. The computer readable instructions also cause the system to obtain a deformed tree of nodes and linkages based on the detected deformation, create a three-dimensional deformation field that represent the detected deformation of branched anatomical, and apply the three-dimensional deformation field to the reference three dimensional geometric model.
