We show how to build a continuous, one-dimensional index of the points on a triangulated irregular network (TIN). The index is constructed by first finding an ordering of the triangles in which consecutive triangles share a vertex or an edge. Then, the ...
Space-filling curves have been found useful for many applications in diverse fields. A space-filling curve is a path in a 2<sup>r</sup>×2<sup>r</sup> raster domain, which visits each location exactly once. In mathematical terms, space-filling ...
Almost all approaches to solving partial differential equations (PDEs) are based upon a spatial discretization of the computational domain—a grid. This paper presents an algorithm to generate, store, and traverse a hierarchy of $d$-dimensional Cartesian ...
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