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Fundamental techniques for geometric and solid modeling

source

Manufacturing and Automation Systems: Techniques and Technologies, no. 48, pp. 347-356

summary

nD skeletons as the discontinuities of the graph of the distance map in (n+1)D space. Cyclographic map of Descriptive Geometry (generates the ruled & developable surface); its discontinuities form the skeleton. Relation with the Hamilton-Jacobi equation. The shocks of this PDE correspond to the skeleton.