find correspondences between two curves

the two figures shown were obtained before spline fitting was done on a set of points.Now i am interested in finding the correspondences between two pairs of curves.I am currently using InterX but interX is unable to detect the correspondences in the middle of this R as well as near the regions where the R tends to curve for example the one near [40-50] on Y axis and the one near [150-160] on X axix.
similarly in the M shown above,the correspondences i get are fine but i am unable to detect them near the rounded regions of the M.Any help will be appreciated such as reference to papers/open source existing work on this(if it exists)

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Image Analyst
Image Analyst 2021 年 9 月 11 日

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sparsh garg
sparsh garg 2021 年 9 月 11 日
i was looking for a general answer not related to OCR something which deals with finding correspondence between two curves.Would ICP help here?
sparsh garg
sparsh garg 2021 年 9 月 17 日
hello,since image analyst's initial answer didn't really help,I would like to know are there any methods related to finding correspondences between two set of spline curves
for example in the M i would like to find correspondences in the lower left bar(which has two splines)

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