applying newton rapshon method

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FIR 2012-8-4

I have an image 'cameraman.tif'.I have to apply newton rapshon method using the formula to that image

Cj=Ci-f(Ci)/f'(Ci)

f(Ci)=i^2-i-1

f'(Ci)=2i-1

Ci is the central pixel

Cj is the neighboring pixel of Ci

please hel how to process

FIR 2012-12-28

8 nighbours

Amith Kamath 2013-1-3

Also, I believe images need two indices, as in C(x,y). Could you rephrase the question based on two indices?

Additionally, I fail to understand how the left hand side of the equation is already known to be the neighboring pixel (?)

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