Question

In OpenGL 2.1, I’m passing a position and normal vector to my vertex shader. The vertex shader then sets a varying to the normal vector, so in theory it’s linearly interpolating the normals across each triangle. (Which I understand to be the foundation of Phong shading.)

In the fragment shader, I use the normal with Lambert’s law to calculate the diffuse reflection. This works as expected, except that the interpolation between vertices looks funny. Specifically, I’m seeing a starburst affect, wherein there are noticeable “hot spots” along the edges between vertices.

Here’s an example, not from my own rendering but demonstrating the exact same effect (see the gold sphere partway down the page):
http://pages.cpsc.ucalgary.ca/~slongay/pmwiki-2.2.1/pmwiki.php?n=CPSC453W11.Lab12

Wikipedia says this is a problem with Gauraud shading. But as I understand it, by interpolating the normals and running my lighting calculation per-fragment, I’m using the Phong model, not Gouraud. Is that right?

If I were to use a much finer mesh, I presume that these starbursts would be much less noticeable. But is adding more triangles the only way to solve this problem? I would think there would be a way to get smooth interpolation without the starburst effect. (I’ve certainly seen perfectly smooth shading on rough meshes elsewhere, such as in 3d Studio Max. But maybe they’re doing something more sophisticated than just interpolating normals.)

Answer 1

It is not the exact same effect. What you are seeing is one of two things.

1. The result of not normalizing the normals before using them in your fragment shader.

2. An optical illusion created by the collision of linear gradients across the edges of triangles. Really.

   The “Gradient Matters” section at the bottom of this page (note: in the interest of full disclosure, that’s my tutorial) explains the phenomenon in detail. Simple Lambert diffuse reflectance using interpolated normals effectively creates a more-or-less linear light across a triangle. A triangle with a different set of normals will have a different gradient. It will be C0 continuous (the colors along the edges are the same), but not C1 continuous (the colors along the two gradients change at different rates).

   Human vision picks up on gradient differences like these and makes them stand out. Thus, we see them as hard-edges when in fact they are not.

   The only real solution here is to either tessellate the mesh further or use normal maps created from a finer version of the mesh instead of interpolated normals.