A view-dependent multiresolution triangulation algorithm is presented for a real-time flythrough. The triangulation of the terrain is generated incrementally on-the-fly during the rendering time. We show that since the view changes smoothly only a few incremental modifications are required to update the triangulation to a new view. The resulting triangles form a multiresolution Delaunay triangulation which satisfies a predetermined view-dependent error tolerance. The presented method provides a guaranteed quality mesh since it has control over the global geometric approximation error of the multiresolution view-dependent triangulation.