Frames of image data representative of a scene containing deformable geometry are computed for display on a display device. Frame animation data is computed for a series of frames representative, in animated sequence, of a scene containing deformable geometry. The frame animation data includes a control mesh descriptive of the three-dimensional surface of graphical elements occurring within the scene. Based on the frame animation data, respective illumination values are computed for the individual polygons of the control mesh to determine the global illumination of the scene. The computation is performed iteratively utilizing the directional light functionally emitted from source polygons to receiver polygons to determine global illumination. The directional light emitter values are further utilized, in combination with material properties, specular illumination contributions to the global illumination of the receiver polygons.