3D Mesh Fairing Based on Lighting and Geometric Conditions for Interactive Smooth Rendering

In this paper, we propose a fairing method of 3D rough meshes based on illuminations and geometric conditions for smooth rendering. In applications of interactive graphics such as virtual reality or augmented reality, rough meshes are widely used for fast optical interactions owing to their simple representation. However, in vertex-based shading, rough meshes may produce non-smooth rendering results; Distinct normal vectors and comparatively longer distance between consecutive vertices increase the difference of radiances. In order to improve the smoothness of the rendering results, the difference of radiances among vertices should be minimized by considering lighting conditions as fairing parameters. We calculated illuminations using diffuse lighting models at each vertex. Then normalized illumination is linearly integrated with the curvedness to prevent the shape distortion. By adapting integrated values to Laplacian weight factors, the difference of radiances is minimized and rendering result is improved, while maintaining the important curved shapes of the rough meshes. The proposed method also improves the compactness of triangles. The comparative study of our method with other existing fairing schemes has been discussed. We also applied our method to arbitrarily simplified meshes for demonstration.