1. A method for processing three-dimensional model data, comprising: obtaining mesh data for an original mesh model; constructing a derivative mesh model from vertex data for the original mesh model by using a pre-defined mesh model construction algorithm; comparing the mesh data for the original mesh model with the mesh data for the derivative mesh model to obtain an error data for the derivative mesh model; transmitting the vertex data related to the original mesh model; and displaying a three-dimensional model based on the constructed derivative mesh model; and separately transmitting the error data for the derivative mesh model, and responsive to receiving the error data for the derivative mesh model, modifying the three-dimensional mesh model that is being displayed with the received error data.