Table 1: Dependence vectors for 2D filtering.


Variable
LHS
RHS
Dependence
assignmentassignmentvector

Image data 𝐼 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 ) 𝐼 ( 𝑖 + 1 , 𝑗 , 𝑘 1 , 𝑙 ) [ 1 0 1 0 ]
Image data 𝐼 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 ) 𝐼 ( 𝑖 , 𝑗 + 1 , 𝑘 , 𝑙 1 ) [ 0 1 0 1 ]
Window coefficient 𝑊 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 ) 𝑊 ( 𝑖 1 , 𝑗 , 𝑘 , 𝑙 ) [ 1 0 0 0 ]
Window coefficient 𝑊 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 ) 𝑤 ( 𝑖 , 𝑗 1 , 𝑘 , 𝑙 ) [ 0 1 0 0 ]
Output 𝑂 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 ) 𝑂 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 1 ) [ 0 0 0 1 ]
Output 𝑂 ( 𝑖 , 𝑗 , 𝑘 , 𝑙 ) 𝑂 ( 𝑖 , 𝑗 , 𝑘 1 , 𝑙 ) [ 0 0 1 0 ]