Multilevel sensitive reconstruction of polyhedral surfaces from parallel slices

We present an algorithm for reconstructing a solid model from a series of p lanar cross-sections. In most previous works the layers are assumed to be i ndependent: each layer is interpolated separately, and the concatenation of the interpolated layers is considered the solution to the whole problem. T he resulting surface can therefore exhibit abrupt changes. The main contrib ution of this work is avoiding this assumption. We use the slopes of triang les created in the interpolation of neighboring layers to guide the interpo lation 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.