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  • 如何计算体数据的轮廓树contour tree

    首先我们必须弄懂几个基本的概念:
    singularity: In general, a singularity is a point at which an equation, surface, etc., blows up or becomes degenerate. Singularities are often also called singular points.
    A scalar field is a continuous function tex2html_wrap_inline8980 , where tex2html_wrap_inline8982 is a connected domain in tex2html_wrap_inline8984 , tex2html_wrap_inline8986 . The image of tex2html_wrap_inline8988 embedded in tex2html_wrap_inline8990 space, i.e.

    displaymath592

    is called a hypersurface. When k = 2, tex2html_wrap_inline8994 is called a height field. A common example of a height field is a terrain surface, where the domain tex2html_wrap_inline8982 is tex2html_wrap_inline8998 and tex2html_wrap_inline8988 is specified by elevation values at discrete sample points.
    A manifold surface with boundary tex2html_wrap_inline9004 is a subset of Euclidean space tex2html_wrap_inline8984 , for some tex2html_wrap_inline9018 , such that the neighbourhood of each point of tex2html_wrap_inline9004 is homeomorphic to either the open disc, or to the half-disc (which is obtained by intersecting the open disc with the closed half-plane of the positive x coordinates
    simplicial meshes : apart from the wavelet-based methods, can be represented as simplicial meshes, i.e. meshes of triangles or tetrahedra
    critical points: points at which the topology of the level sets changes
    写着写着,发现自己对critical point还是没有理解,看看再写了

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  • 原文地址:https://www.cnblogs.com/cloudseawang/p/589284.html
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