3D B-Spline surface reconstruction based on the contour information

This paper introduces a 3D surface reconstruction method from serial parallel slices of cross-sections. Depends on the contour shape we get a series of regular points. The density of the points reflects the change of the contour shape, and then corresponding knot vectors and control points are generated from these points. Define a flexible space to compute the knot vector of the surface. For the multi-connectivity problem, using image division translates it into some single-connectivity problem. The centroid of each slice and each closed contour is generated to get the relationship of the contours. So, the many-to-many question translates into some one-to-one question.