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using Bjontegaard metric in k-means clustering as a cost function

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I am trying to use Bjontegaard metric as cost fucntion in kmeans. I have some RD curve and I want to cluster them based on their slop. this means vectors that are near to each other and has near slop put in same cluster. for this I want to use Bjontegaard metric but I do not know how can I replace the cost functions with this? could you please help me how can I do this? A Matlab cod for Bjontegaard metric is also in this link:
Thank you.

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