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- W36340068 abstract "A representation for multi-dimensional polytopes in parallel coordinates is presented where the connectivity and containment of the faces can be visualized. From the half-spaces bounding the polytope and their adjacency the connectivity of the highest dimensional faces can be constructed. This construction generates the convex hull of a non-convex polytope. Also a representation for bounded convex multi-dimensional objects is provided as an envelope of hyperplanes that do not intersect their interior. The envelope of hyperplanes is bounded by an h-star (generalized hyperbola) in parallel coordinates. This is used to geometrically construct a cutting plane in order to reduce the search space of a linear programming problem. To accommodate the imprecision on geometric data the notion of Line and Planar Topologies are introduced from which detection algorithms for lines and hyperplanes are obtained." @default.
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- W36340068 date "1995-01-01" @default.
- W36340068 modified "2023-09-23" @default.
- W36340068 title "Visualizing multi-dimensional polytopes and topologies for tolerances" @default.
- W36340068 hasPublicationYear "1995" @default.
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