A computing device for determining effective flow areas of a turbine or turbine engine includes optically scanning and digital modeling of turbine components to produce virtual vanes, virtual vane segments, and virtual ring assemblies. The computing device determines both individual effective flow areas between vanes and the total effective flow area of a vane ring assembly. Based on the virtual vanes and determined effective flow areas, the computing device may compare one or more turbine components to a reference turbine to determine whether the turbine is out of specification and aid in repair, modification, or reassembly of the turbine or turbine engine.