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Geodesic-Fan Based Mesh Parameterization in Shoe CAD System


Hyoungseok B. Kim, Hosook Kim


Vol. 7  No. 6  pp. 107-114


Parameterization of a 3D mesh is a fundamental problem in a variety of applications such as shoe CAD system and geometric modeling. There are two major paradigms in mesh parameterization: energy functional minimization and the convex combination approach. In general, the convex combination approach is widely used because of simple concept and fast computation. However, the approach has some problems such as fixed boundary and high distortion near the boundary. In this paper, we present an extension of the approach based on the geodesic-fan representation and mean value coordinates, which resolves the drawbacks of the convex combination approach. Moreover, we apply our result to a 3D shoe CAD system in order to resolve the practical problems of industry.


Parameterization, Mean Value Coordinates