Abstract: A method and apparatus for applying a two-dimensional image on a three-dimensional model composed of a polygonal mesh. The method comprises generating an adjacency structure for all triangles within the mesh, identifying a triangle within membrane containing the desired center point, calculating spatial distances between the three vertices and desired center checking each triangle edge to see if the distances show an intersection, if a collision is detected add the triangle to the list and iteratively processing all the triangles in the list calculate the spatial data of the single unknown vertex, check the two edges of the triangle to see if the calculated distances show an intersection, if an intersection occurs add this new triangle to the list; transforming into UV-coordinates; and applying the two-dimensional image to the three-dimensional model using the UV-coordinates.