منابع مشابه
Simplifying intersections of surfaces.
Suppose mu and v are arcs whose union is an arc alpha and whose intersection is an arc beta. Suppose further that mu and v, respectively, lie in the boundaries of the disks M and N. It is shown that either alpha lies on the boundary of a disk or mu and v, respectively, lie in the boundaries of disks M' and N' which meet only in the arc beta. The construction is basic to recent results exploring...
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Subdivision surface intersections can be costly to compute. They require the intersection of high resolution meshes in order to obtain accurate results, which can lead to slow performance and high memory usage. In this paper we show how the strong convex hull property can lead to a method for efficiently computing intersections at high resolutions. Consequently, the method can be used with any ...
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Each orientable surface with nonempty boundary can be associated with a planar model, whose edges can then be labeled with letters that read out a surface word. Then, the curve word of a free homotopy class of closed curves on a surface is the minimal sequence of edges of the planar model through which a curve in the class passes. The length of a class of curves is defined to be the number of l...
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Local 1-shock curve arcs and local reverse 2-shock curve arcs were constructed, in the geometric context of the wave manifold, in a previous paper. In that geometric context, sonic and sonic’ surfaces are the boundaries of admissible shock curve arcs; in order to introduce the concept of non-local 1-shock curve arcs and non-local reverse 2shock curve arcs it is necessary to understand how a hug...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1970
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.65.4.837