4. GC local graph convolution 3D shape correspondenceSoTA
5. GC 3
6. weight
7. Convolution E: out channel D: in channel F: filter w,h:
width, height
8.
9. Convolution y = b + q (x ,x )W x q (x ,x ) exp(u x +v x + c
) q (x ,x ) = 1, q (x ,x ) = = 1 q (x ,x ): x ,x weight N : i+1i M:
Weight matrixM i m=1 M N i 1 jNi m i j m j m i j m T i m T j m m=1
M m i j jNi N i 1 m=1 M m i j jNi N i 1 m i j i j i
10. Convolution q (x ,x ) = = 1 MLP q (x ,x ) exp(u x +v x + c
) N = M, q (x ,x ) {0, 1} jNi N i 1 m=1 M m i j jNi N i 1 m i j m T
i m T j m i i m i j
11.
12. u = v q (x ,x ) exp(u (x x ) + c ) m m m ij i j m T j i
m
13. MNIST Cora, PubMed FAUST
14. MNIST M=9 Pooling...
15. Cora and PubMed M=1 to 32 validationM=1
16. FAUST 10 shapes in 10 different poses each=100meshes 6,890
vertices each features: 3D XYG vertex or SHOTSHIFT M=9
