How can I normalize the baseline of a displacement?

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Hello all,
I am working on the analysis of multiple displacement trials (fig.). In order to perform the analysis, I need to normalize the trace, so that all the trials baseline start from 0. Of course I need to shift the displacement according to the shift of the baseline.
Thank you very much!

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Image Analyst
Image Analyst 2016-4-1
I'd first identify the spike locations, then interpolate the baseline from what's not a spike. Then I'd subtract that from the original signal. Something like (untested)
% Find spikes.
spikeIndexes = signal > 10;
Extract non-spikes
baseLine = signal(spikeLocations);
% Get continuous x
x = 1 : length(signal);
% Interpolate everywhere
baseline = interp1(x(spikeIndexes), baseline, x);
% Subtract
correctedSignal = signal - baseline;

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