How to know which points form some bar code

zhanghon@...
 

Hi,

 

For a bar code, is it possible to know which points form this bar code? For example, if I use a distance matrix to create a filtration and then a reduced matrix, then I generate the bar code graph for the first dimension. If I have a bar code that lasts for an interval [a, b) in the first dimension, could I know which data points form this loop (a 1-dimensional bar code represents a loop)? Could I know the indices of the points in the distance matrix?

 

Thank you,

 

Hongyuan

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