Get rid of those dirty back-facers, we don't serve their kind here. Also, learn the new sex move that is taking New England by storm: the Bridgeport Shocker.
Video
The tutorial video is on YouTube here.
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- Recap of our problem: triangles are always drawn in the same order 0:20
- Solution: Back face culling 2:02
- Poor solution: painter's algoritm (sort the triangles back to front, draw front ones last)
- Better solution: never draw back facing triangles. For convex single objects front facing triangles will never overlap
- Using a triangle's surface normal to determine its orientation 5:15
- Just the z-component of the face normal is not good enough
- Correct approach: take the viewing vector (v1) and the face normal direction (v2)
- (viewing vector: vector from focal point to any point on the triangle in world space)
- If their dot product is negative (opposide directions), the triangle's face is towards the focal point
- How to find the face normal: the cross product 9:51
- Comparison of concepts of dot product and cross product
- v1 x v2 yields a perpendicular vector (following left hand rule in our system) with length l = area of the parallelogram spanned by v1 and v2
- The math equation for the cross product 16:13
- Getting the face normal vector of our triangles 19:26
- Implementing these concepts in our code 21:04
- The cross product operator in
Vec3
- Using cull flags for the triangles 22:32
- Culling needs to be performed before the transformation to screen space 24:33
- The order of the vertices (i.e. the index lists for triangles) matters 26:04
- Use the left handed winding rule when constructing the triangle index list 27:08
- Introduction of the base class
Scene.h for scene definitions its derived classes 28:50
- Remaining issues: concave shapes, triangle intersections, occlusion 31:10
- You can't easily sort this with sorting (although sorting has its place in 3d graphics)
- We will come back to these issues later in the series
Downloads
The GitHub repository for the tutorial code is here.
See also
