This paper presents an algorithm for rendering of point-sampled CSG models. The approach works with arbitrary CSG trees of surfel models with arbitrary sampling densities. Edges and corners are rendered by reconstructing the involved surfaces separately. The reconstructed surfaces are clipped at intersections. This way, blurring at any magnification is avoided. As opposed to existing methods, which resample surfaces close to object intersections, the proposed approach preserves the original object representation. Since no resampling is needed, dynamic scenes can be handled very flexible. Complex intersections involving any number of objects can be rendered.