I have 2 vectors of a 3d image that represent a 2d cross section of a vessel. I want use the vectors to extract the cross section. how can i interpolate the vectors to get the cross section plane ? or is there another method using the vectors??

i have a 3d image of a vessel i segmented. i used hessian matrix of the center to get eigen values and vectors . i get 3 eigen vectors in which 2 of them represent the "direction"of the cross section of the vessel. i want to now "extract" the cross section of the vessel in order to determine the radius, center coordinates and other features. i am thinking to interpolate the vectors however i cant find how to do it is anyone can help. or if there is any other method than interpolating the vectors however using the vectors.

thank you