Numpy Indexing: Get every second coloumn for each even row

Question

I want to select in an numpy array all odd off diagonals. Basically the following:

a = np.arange(16).reshape(4,4)
array([[ 0,  1,  2,  3],
       [ 4,  5,  6,  7],
       [ 8,  9, 10, 11],
       [12, 13, 14, 15]])
b = a[::2,1::2] and at the same time a[1::2,::2]
array([[ 1,  3],
       [ 4, 6],
       [9, 11],
       [12,14]])

To formulate it differently: In each even row I want to have each second column with an offset of one and in each odd row I want to have each second column. It would be great if that could be achieved without creating an additional copy.

Answer 1

Okay if we can not avoid any copy, than the easiest thing to do would be probably something like:

a = np.arange(16).reshape(4,4)
array([[ 0,  1,  2,  3],
       [ 4,  5,  6,  7],
       [ 8,  9, 10, 11],
       [12, 13, 14, 15]])
b = np.zeros((a.shape[0], a.shape[1]/2))
b[::2,:]  = a[::2,1::2]
b[1::2,:] = a[1::2,::2]
>>>> b
array([[  1.,   3.],
   [  4.,   6.],
   [  9.,  11.],
   [ 12.,  14.]])