interpolate curve to some blob

hi i have x,y point of curve i want to create some interpolation that will add x,y points . i want that line will pass in the direction of the blob and even in the center of the mass . it should be smooth. here is example figure : the black curve below is given and i want to continue it to the blob above(as the dotted).

[Kevin Phung]

to interpolate, you need to provide two endpoints. Do you have in mind exactly the path within the blob the line will travel? Or at least, its entry and exit points?

[Guillaume]

This is not interpolation, this is extrapolation, and in my opinion considering the sharp bend in the known shape of the black curve, it is actually making up data unless more is known about the desired shape.

it should be smooth. A wiidly oscillating sine curve is smooth. I'm sure that's not what you want.

Answer 1

[darova]

Find center of a circle and radius

A - start point ( - direction vector )

B - End point (mass center?)

M - middle point between A and B

AO - perdpendicular to in point A

MO - perpdendicular to AB in point M

O - intersection of perpendiculars (center of a circle)

[dror yemini]

also look at this https://www.mathworks.com/matlabcentral/answers/472849-spline-interpolation-image-way-to-connect