Suggestions for predicting the displacement of a graph or force estimation.
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This question is aimed mostly to engineers but whoever believes he can handle it may give his valuable advice.
I have a tabular data set of Load/Displacements in Newton/mm of a material using an Instron Machine, applying compressive forces.
Those data are my reference or gold standard. The same material is depicted on images where unknown forces are applied to the object and the object deforms as it is a rubber material. I want to estimate the forces caused that deformation.
My idea is developing a model that measures each column of the image that the object is depicted under strain. I measure the heigh of the object in each image column and find the difference from the gold standard that I have. Sounds simple right? I was thinking an interpolation method to bridge the gaps between the gold standard and the measured data from the images. E.g. if the gold standard data for 5 Newton is 2 mm displacement from its original position (undeformed material), then how many newtons are required to displace the same object at 5 mm from its original position. Something like that.
Can you help with suggestions and ideas please?
Thanks in advance