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From sketch to solid: an algebraic cross-section criterion for the realizability of a wireframe sketch

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Abstract

An intermediate step in the construction of a polyhedron from a partial-view sketch is the derivation of a realizable wireframe sketch, i.e., a complete sketch which is guaranteed to be the projection of a polyhedron. This paper presents a robust realizability-test based on the classical “cross-section criterion” that was developed in a geometric “ruler-and-compass” framework.

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Correspondence to Sofia Kyratzi.

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Communicated by C.H. Cap.

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Kyratzi, S., Sapidis, N.S. From sketch to solid: an algebraic cross-section criterion for the realizability of a wireframe sketch. Computing 86, 219–234 (2009). https://doi.org/10.1007/s00607-009-0058-3

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  • DOI: https://doi.org/10.1007/s00607-009-0058-3

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