Surface reconstruction of narrow-band guided Gray-Scott model

We propose a novel method that combines the modified Gray-Scott (GS) equation with a narrow-band model for efficient surface reconstruction of complex and irregular three-dimensional (3D) point cloud data. In the case of sparse or missing point cloud data, the method improves the point cloud using the Non-Uniform Rational B-Spline (NURBS) interpolation technique to improve its resolution and completeness. The initial implicit surface is generated in the narrow-band region of the point cloud, and the modified GS model is introduced to evolve the surface, which significantly improves the quality and computational efficiency of surface reconstruction. Computational results show that the proposed algorithm demonstrates good robustness and efficiency when handling different models and can provide accurate and smooth 3D surface reconstruction, which has high potential for applications and practical value.