From Object Modelling to Advanced Visual Communication by Jarek R. Rossignac (auth.), Sabine Coquillart, Wolfgang

By Jarek R. Rossignac (auth.), Sabine Coquillart, Wolfgang Straßer, Peter Stucki (eds.)

This publication is a suite of the simplest papers initially awarded as cutting-edge stories or tutorials on the Eurographics '91 convention in Vienna. a decision has been made giving precedence to undying details. one other objective used to be to hide all features of special effects - other than - as thoroughly as attainable from modelling to complicated visualization and verbal exchange. the 10 contributions through the world over popular specialists fulfil this aim completely. a few very important areas of difficulty handled from diverse viewpoints hence improving and deepening the reader's viewpoint.

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In the solid modeling community, the term non-manifold boundaries traditional referred to valid boundaries of solids. In [211, 210J however, the term "non-manifold geometric boundary" refers to a more general scheme that includes dimensionally inhomogeneous pointsets. The pointsets defined in this manner are restricted to be quasi-disjoint enumerations of closed bounded pointsets of dimension one and two. e. face cycles that enclose a connected region of space, one can use them to represent 3D solids by delimitation.

A permutation of SWITCH operators for dimension k and k+1. may be used to order k-cells and (k+l)-cells around (k-l)-cells on a (k+2)-cells. For example, an alternation of SWITCH(I) and SWITCH(2) may be used to visit, the edges and faces of the cone of a shell formed around a vertex. Independently, Lienhardt [111, 110] defines n-dimensional generalized maps. For manifold objects, both Lienhardt's and Brisson's representations are equivalent. Extensions to non-manifold boundaries A technique for extending boundary graphs to non-manifold cases, where the solids have internal structures is based on the use of 3D region nodes, R i , in the delimitation graphs.

Non-manifold face: The subtraction of a sphere from the top face of a block creates a non-manifold face, even though the solid is manifold. An interesting restriction is to require that all faces be simply connected (which does not imply that the solids are simply-connected). With this restriction, each face may be represented by a simple bounding loop. For polyhedral objects, a simply connected face is thus unambiguously represented by an ordered list of vertices. When the face is bounded, the choice in the order of the vertices may be used to indicate the direction of the outward pointing normal of the face with respect to the solid it bounds.

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