Provided is a method for obtaining a conformal mapping of first image data corresponding to a source mesh to a target mesh, by generating a template of the source mesh and a template of the target mesh, processing the generated source mesh template and the generated target mesh template to obtain a conformal mapping from the source mesh to the target mesh, mapping the first image data corresponding to the source mesh to second image data corresponding to the target mesh according to the obtained conformal mapping, and outputting a mapped texture corresponding to the mapped second image data to the display corresponding to the target mesh.