The splatting algorithm has difficulty in rendering sharp features. To solve this problem, the point-and-edge model was used and improved. A novel clipping algorithm, which used a ray-based method to decide the relative position between points and clipping areas, was proposed. This algorithm could handle various clipping, reduce the restrictions on the sampling rate of surface points caused by the boundery of the surface, avoid a complicated upsampling preprocessing step and simplify the rendering of the model. A comparison of different models indicates that the rendering speed is mainly affected by the average clipping edges of every point.