Multilevel sensitive reconstruction of polyhedral surfaces from parallel slices

We present an algorithm for reconstructing a solid model from a series of planar cross-sections. In most previous works the layers are assumed to be independent: each layer is interpolated separately, and the concatenation of the interpolated layers is considered the solution to the whole problem. The resulting surface can therefore exhibit abrupt changes. The main contribution of this work is avoiding this assumption. We use the slopes of triangles created in the interpolation of neighboring layers to guide the interpolation of the current layer. As a result, consecutive layers are connected smoothly. We also discuss various objective functions that aim to optimize the reconstruction and evaluate these functions using various criteria.