Graphics with shape property inheritance

Current graphics models suffer from inconsistencies in many ways. Neither homotopical nor topological properties have been inherited in the shapes of graphical objects in particular, and usually continuity and singularity properties are not inherited either. For example, since the most of the shape modeling in computer graphics has polygonalization as the underlying display structures and data structures, the topological properties as well as the shape smoothness properties and singularities are almost always lost, which makes them unrecoverable. We present initial research on shape modeling for computer graphics to remedy this situation, based on a homotopical framework and cellular spatial structures.