A method renders a 3D model of a graphics object wherein the model includes discrete zero-dimensional points. A first opaque polygon is centered on each point, and the polygon is rendered to obtain depth values of a depth image in a z-buffer. A second polygon is centered on each point. The second polygons are adapted to associated object space EWA resampling filters, and the adapted second polygons are rendered as an image according to the depth values in the depth image.