How to draw implicit surfaces?

• Note: the surface normal is -Grad F = -? F

• It’s easy to ray trace implicit surfaces

  • (as we’ll see later…)

• Volume Rendering can display them

• Convert to polygons: the Marching Cubes algorithm

  • Divide space into cubes
  • Evaluate implicit function at each cube vertex
  • Do root finding or linear interpolation along each edge
  • Polygonize on a cube-by-cube basis

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