Skeleton-based Surface Construction from Unorganized Curves

Z. Xu (USA) and G. Schrack (Canada)


Geometric modeling, unorganized curves, skeleton, multisided region


This paper presents a novel method to construct a surface by interpolating and/or approximating a set of unorganized sparse three-dimensional curves. No assumptions are made regarding topological relations among the curves, except that typically they do not touch each other. The proposed method first builds a topology among the given curves then uses it to construct the surface geometry. Applications include modeling, fast prototyping, and the definition of curves for the construction of surfaces.

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