In this paper, we propose a new visibility model for scene reconstruction. To yield out surface meshes with enough scene details, we introduce a new visibility model, which keeps the relaxed visibility constraints and takes the distribution of points into consideration, thus it is efficient for preserving details. To strengthen the robustness to noise, a new likelihood energy term is introduced to the binary labeling problem of Delaunay tetrahedra, and its implementation is presented. The experimental results show that our method performs well in terms of detail preservation.