Review problem of the chamfer matching

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Question: In chamfer matching, at any step, a pixel can be updated if the distances from some or all of its neighbours to an edge are known; Borgefors counts the distance from a pixel to a vertical or horizontal neighbour as 3 and to a diagonal neighbour as 4 to ensure the pixel values are integers. Why does this mean √ 2 is approximated as 4/3? Would a better approximation be a good idea?

Reference no: EM131740143

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