Implicit Digital Surfaces in Arbitrary Dimensions
Implicit Digital Surfaces in Arbitrary Dimensions
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任意维度的隐式数字表面
DOI：
10.1007/978-3-319-09955-2_28
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
R. Zrour
中科院分区：
文献类型：
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作者：
Jean;Eric Andres;Gaëlle Largeteau;R. Zrour
本文提出了任意维数字隐式曲面的概念。数字隐式曲面是隐式曲面{x ∈ n：f（x）= 0}的形态学启发数字化的结果，隐式曲面是n的给定闭子集{x ∈ n：f（x）≤ 0}的边界。在一定的约束条件下，数字隐式曲面具有一些有趣的性质，如无隧道性。此外，对于一大类数字隐式曲面，存在一个非常简单的解析特征。
In this paper we introduce a notion of digital implicit surface in arbitrary dimensions. The digital implicit surface is the result of a morphology inspired digitization of an implicit surface {x ∈ ℝn: f(x) = 0} which is the boundary of a given closed subset of ℝn, {x ∈ ℝn: f(x) ≤ 0}. Under some constraints, the digital implicit surface has some interesting properties, such ask-tunnel freeness. Furthermore, for a large class of the digital implicit surfaces, there exists a very simple analytical characterization.