OpenGL depth sorting

I'm doing basic object transparency using depth sort. As depth i use di开发者_高级运维stance (squared) from camera to every center of model's triangles, which i calculate as {(x1+x2+x3)/3, (y1+y2+y3)/3, (z1+z2+z3)/3}. Although result is almost fine, but there are some mistakes.

monkey head without sorting

with sorting

Is there anything i can do about those errors?

There is no way to sort the triangles in a perfect way. Look at the examples at end of the Transparency Sorting article on opengl.org wiki.

@kos: Give a look at Order Independent Transparency with Dual Depth Peeling and Alpha to Coverage.

Unless you have screen-aligned particles, sorting arbitrary triangles is really quite difficult. For a perfect result you have to start splitting triangles.

As @tibur says, you can get away with some simple approximations but order-independent transparency (OIT) is a decent solution too. It does however require OpenGL 3 era graphics features. I have an implementation available on github, which shows some ways to make exact OIT quite fast.

It's worth taking a look at "adaptive transparency", "multi-layer alpha blending" and "hybrid transparency". These are fast approximate solutions but give very good results for common scenes.

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Mathematically speaking, if you know something about the body it could help sorting.

For instance the faces of a cube can be depth sorted by barycenter (face center) alone. If the center of the square face A will be closer than the center of B, B will never have any part in front of A (again, for a cube.)

In fact, for a convex body, faces can be sorted by orientation alone.