How to construct a curve to replace the projected part of another curve?

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wd w
wd w 2025-4-7
编辑： Matt J 2025-4-8
In this image, there is a large bulge of the thin black line (data attached), how to construct a curve like the thick red line to replace the projected part and connect tangentially to two other parts of thin black line?
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Sam Chak
Sam Chak 2025-4-7
As long as you can provide the tangents at the two contact points and the distance between them, it is entirely possible to construct a smooth, beautiful red curve.

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Matt J
Matt J 2025-4-7
编辑：Matt J 2025-4-8
Ran in:
[x,y]=readvars('black thin line.xlsx');
[x,y]=splitapply( @(a,b)deal(mean(a),mean(b)), x,y, findgroups(x) );
sub=~(24.7<=x & x<=26.5);
yf=interp1(x(sub),y(sub),x,'spline');
plot(x,y,'--',x,yf,'-');
axis square; axis padded

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