Piecewise Smooth Surface Reconstruction
ACM SIGGRAPH 1994 Proceedings, 295-302.
Subdivision surfaces with sharp features, and their automatic creation by data fitting.
We present a general method for automatic reconstruction of accurate, concise, piecewise smooth surface
models from scattered range data. The method can be used in a variety of applications such as reverse
engineering — the automatic generation of CAD models from physical objects. Novel aspects of the
method are its ability to model surfaces of arbitrary topological type and to recover sharp features such
as creases and corners. The method has proven to be effective, as demonstrated by a number of examples
using both simulated and real data.
A key ingredient in the method, and a principal contribution of
this paper, is the introduction of a new class of piecewise smooth surface representations based on
subdivision. These surfaces have a number of properties that make them ideal for use in surface
reconstruction: they are simple to implement, they can model sharp features concisely, and they can be fit
to scattered range data using an unconstrained optimization procedure.
Through general optimization, this method is able to infer sharp features in the underlying geometry by
simply fitting the data points.
With the growing interest in subdivision surfaces, this surface fitting technique may prove useful.
The paper is often cited for its introduction of sharp features in subdivision surface schemes.
These features were extended in the work of
Biermann et al
The SIGGRAPH 1998 paper
by DeRose et al. presents extensions for "fractionally smooth" surface features.
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