Creating a 3D shape from layers in Mathematica

In Mathematica, I would like to create a 3-D solid shape. The shape is defined by several different horizontal cross-sections at equal vertical intervals. The shape of each section is defined by a set of points along its outer border. How can I create a smooth 3-D solid shape from the collection of these horizontal cross-sections? The transition of the solid between these cross-sections should be smooth.

I have prepared a sample file that shows graphical examples of different sections from which the solid is to be created. Is there a way to attach a doc file? The examples shows 4 sample sections, but the program should be expandable to more sections.

The connection between the sections must be smooth, no straight lines.

Required is the Mathematica code to achieve creating a 3D shape from layers successfully. Must be in Mathematica.

Only in Mathematica please. It is part of a another project. Must be in Mathematica.
If you know how to do it, again only in Mathematica, it wouldn't take more than a couple of hours to do.

In answer to questions about the given sections that are supposed to build the solid: They are defined by the coordinates of several points on the curve defining the curve. A collection of points given by their x and y coordinates.
In answer to another question, the number of layers is open, but finite of course.
Required is the mathematica algorithm for creating this solid.

Algorithm Matlab and Mathematica

Project ID: #6218488

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