A display method and apparatus for displaying three-dimensional terrains and route guidance achieves a flexible and high detail three-dimensional display operation by enabling to change parameters, such as a viewing angle of a selected three-dimensional object, a height of a selected three-dimensional object, and a level of details (LOD) of a selected part of the image. The display method and apparatus also enables to compensate discontinuity, if any, at a border portion of two or more images where such parameters have been changed. Since such a change is made only a selected portion or object on the three-dimensional image, a computation power, memory space or other resources of the navigation system may not be overburdened by such operations.