Why transformation matrix shared by different child capsule types?

[tzeng99]

@Cheng-Lin-Li Thanks for sharing this wonderful work!

I have a question about the transformation matrix. It's mentioned in the paper that different transformation matrices are used for each type of capsule. Does it mean both child and parent capsule types or only for parent capsule types? It seems to me that the transformation matrices are shared between different child capsule types. If so, why do you use multiple child capsule types and what's the meaning of applying same transformation matrix to different child capsule types?

I'd appreciate it a lot if you could help me!
Thank you!