Suppose I have the 8-into-8 matrix A. How the binomial transform can be applied on each pair of the components in row wise manner to get the transformed components?

The formulation can be derived by transforming each pair of pixel components (Ai, Ai+1) into a pair of transformed components (Si, Si+1) using the binomial transform by the following equation

Si=Ai

Si+1= Ai - Ai+1

where Si and Si+1 represents the pair of transformed components corresponding to the pixel components Ai and Ai+1.

Similarly, by invrse binomial transform, each pair of transformed components (Si, Si+1) are converted back into spatial domain which consists of pixel components Ai and Ai+1 by the following equation

Ai=Si

Ai+1=Si - Si+1

Suppose I have the 8-into-8 matrix A. How the binomial transform can be applied on each pair of the components in row wise manner to get the transformed components?Suppose I have the 8-into-8 matrix A. How the binomial transform can be applied on each pair of the components in row wise manner to get the transformed components?

A=[   52   51   42   41   39   58   72   87
      50   45   49   45   49   66   78   91
      45   43   50   50   60   80   92   96
      45   47   47   61   76   87   99   99
      46   50   58   72   87   99  101  104
      50   59   71   88   97  106  105  103
      52   66   77   92  102  107  105  103
      58   69   79   97  102  106  104  100
]

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