Please write a program in java for the following image processing. For number 3, you can use any .dat or .pgm 256*256 image from google images

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1. Apply one of the following ID convolution algorithms (a) "Shift-by-One, Multiply-Add, ..." V-1 y(n) = x(m)h(n-m) m=0 given in the lecture notes, to the following two 1D arrays [r(m)) and [h(m)] Array[ID]=r(m)= [1 3 1 21 Filter[ID]=h()= [1-2 1] 2Implement the 1D and 2D convolution algorithms, using JAVA. (Keep it small and simple). Use the given arrays [1D (above) and 2D (below)] as test-data: 12 34 5 678 4321 0 1 0 Image[2D] = f(m, n) = Mask[2D-MK()=11 0 1 3. Perform 2D Convolution using the "Lenna" image with the (3 x 3) 2D Mask: Mask[2D] 1-4 1 01 0 8