A surface normal is a vector perpendicular to a surface at a given point, indicating the orientation of that surface in space. Normals are fundamental to lighting and shading calculations, because the angle between a normal and a light direction governs how much illumination a surface receives. In computer graphics and 3D reconstruction, surface normals drive realistic shading, normal mapping, and the recovery of fine geometric detail.

Overview

  • A surface normal defines the local orientation of a surface and is the key input to most lighting models, which compute reflected intensity from the normal-light geometry.
  • Normals can be stored per-vertex, per-face, or per-texel, and interpolated across surfaces to produce smooth shading from coarse geometry.
  • Estimating accurate normals from depth maps or point clouds is essential for recovering and rendering fine surface detail.

Mechanisms

  • Per-vertex normals interpolated across triangles for smooth Gouraud or Phong shading.
  • Normal maps that perturb the geometric normal per-texel to fake high-frequency detail cheaply.
  • Normal estimation from neighbourhood fitting on point clouds or gradients of depth maps.
  • Use of the normal in dot products with light and view vectors for diffuse and specular response.

Applications

  • Realistic shading and physically based rendering in graphics pipelines.
  • Normal mapping to add perceived detail without increasing polygon count.
  • 3D reconstruction and photogrammetry where recovered normals refine surface geometry.

Provenance