A method and system provides an object-oriented framework for rendering three-dimensional surfaces on a two-dimensional display in a flexible manner. The framework comprises two main classes that work together to render discretized data points that represent the three-dimensional graphic objects. The first class is used to construct a surface object which has a first member function that generates vertex information for each of the data points and stores the vertex information in a memory. The surface object also contains a second member function which generates indices into the stored vertex information which indices define shards on the surface which is being rendered. The second class is used to construct a rendering object which calls the first and second member functions in the surface object to first process the vertex data for display and then use the shard indices to retrieve the processed vertex data to render the surface. Vertex data processing is separated from shard processing to increase the efficiency of the rendering process.