Abstract: The main drawbacks of current ray tracing methods for splat-based surface are coarse
rendering effects in the parts of silhouettes and sharp features. A ray tracing method for splat-based
surface is proposed based on the high computation function defined by blending projective distances
between the point of ray and the corresponding splats. And the height difference is used as step length
to compute iteratively intersection. The height difference function is closed to geometric features of
splat-based surface. Experiment results show that the method has good rendering quality in the parts
of silhouettes and sharp features, and high convergence rate as well as low computation cost.

Key words: splat-based surface, height difference, intersection, implicit surface