it seems like there are two triangles on the top left after clipping instead of one. but I'm not sure how that happened.
Khryl
I thinks it's because when we clip a triangle, the remaining part can be quadrilateral.
So we have to use two triangles to represent a quadrilateral, causing more triangles after clipping.
BryceSummers
@Khryl That is a good explanation of the phenomena. At the recitation yesterday Kayvon mentioned that up to around 6 triangles might be formed.
Can anybody search for the most degenerate case in terms of the number of triangles?
PandaX
@Khryl Good explanation! Thanks!
kayvonf
Question: Can someone list a few reasons why it is useful to perform clipping? We talked about this in some detail during "Pizza with Kayvon". (Hint: we talked about both performance reasons and robustness reasons.)
lucida
@BryceSummers I think the case where six triangles are formed is when you have a triangle at the corner of the cube positioned such that only the tips of the three corners stick out of the cube. This creates a hexagon, which must be represented as 6 triangles.
Why might clipping create more triangles?
it seems like there are two triangles on the top left after clipping instead of one. but I'm not sure how that happened.
I thinks it's because when we clip a triangle, the remaining part can be quadrilateral. So we have to use two triangles to represent a quadrilateral, causing more triangles after clipping.
@Khryl That is a good explanation of the phenomena. At the recitation yesterday Kayvon mentioned that up to around 6 triangles might be formed.
Can anybody search for the most degenerate case in terms of the number of triangles?
@Khryl Good explanation! Thanks!
Question: Can someone list a few reasons why it is useful to perform clipping? We talked about this in some detail during "Pizza with Kayvon". (Hint: we talked about both performance reasons and robustness reasons.)
@BryceSummers I think the case where six triangles are formed is when you have a triangle at the corner of the cube positioned such that only the tips of the three corners stick out of the cube. This creates a hexagon, which must be represented as 6 triangles.