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Any ideas on capturing movement of coastlin

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I am having a coastline whose movement I need to capture. For each coastline, there are x and y coordinate vectors. Problem is that each of them has different no. of datapoints.
For coastline 1, x and y are 1788X1 For coastline 2, x and y are 1655X1
I want to compute the average distance the coastline has moved. Any ideas or suggestions?

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KSSV
KSSV 2018-7-4
Read about interpolation. Go for interpolation and get the data to same dimensions. Read about interp1.

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