Computing a flattest, undercut-free parting line for a convex polyhedron, with application to mold design

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منابع مشابه

Computing a Flattest, Undercut-Free Parting Line for a Convex Polyhedron, with Application to Mold Design

A parting line for a polyhedron is a closed curve on its surface, which identiies the two halves of the polyhedron for which mold-boxes must be made. A parting line is undercut-free if the two halves that it generates do not contain facets that obstruct the de-molding of the polyhedron. Computing an undercut-free parting line that is as \\at" as possible is an important problem in mold design. ...

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A parting line for a convex polyhedron, P, is a closed curve on the surface of P. It deenes the two pieces of P for which mold-halves must be made. An undercut-free parting line is one which does not create recesses or projections in P and thus allows easy de-molding of P. Computing an undercut-free parting line that is as at as possible is an important problem in mold design. In this paper, an...

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How to Cut out a Convex Polyhedron

It is known that one can fold a convex polyhedron from a non-overlapping face unfolding, but the complexity of the algorithm in [MP] remains an open problem. In this paper we show that every convex polyhedron P ⊂ R can be obtained in polynomial time, by starting with a cube which contains P and sequentially cutting out the extra parts of the surface. Our main tool is of independent interest. We...

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ژورنال

عنوان ژورنال: Computational Geometry

سال: 1999

ISSN: 0925-7721

DOI: 10.1016/s0925-7721(99)00023-1