Fuzzy Contour Trees: Alignment and Joint Layout of Multiple Contour Trees
نویسندگان
چکیده
منابع مشابه
Distributed Contour Trees
Topological techniques provide robust tools for data analysis. They are used, for example, for feature extraction, for data de-noising, and for comparison of data sets. This chapter concerns contour trees, a topological descriptor that records the connectivity of the isosurfaces of scalar functions. These trees are fundamental to analysis and visualization of physical phenomena modeled by real-...
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Contour trees can represent the topology of large volume data sets in a relatively compact, discrete data structure. However, the resulting trees often contain many thousands of nodes; thus, many graph drawing techniques fail to produce satisfactory results. Therefore, several visualization methods were proposed recently for the visualization of contour trees. Unfortunately, none of these techn...
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F for some scalar . A scalar field is typically represented as a simplicial complex with values at vertices or a regular (rectilinear) grid of samples. Linear or multilinear interpolation is used to obtain values at points other than the samples. Most scalar fields that appear in applications are defined on simply connected domains. In this case the CT is indeed a tree. Contour trees been used ...
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We study the problem of maintaining the contour tree T of a terrain Σ, represented as a triangulated xy-monotone surface, as the heights of its vertices vary continuously with time. We characterize the combinatorial changes in T and how they relate to topological changes in Σ. We present a kinetic data structure (KDS) for maintaining T efficiently. It maintains certificates that fail, i.e., an ...
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Two stochastic processes describing the contour of simply generated random trees are studied: the contour process as deened by Gutjahr and PPug 9] and the traverse process constructed of the node heights during pre-order traversal of the tree. Using mul-tivariate generating functions and singularity analysis the weak convergence of the contour process to Brownian excursion is shown and a new pr...
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ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2020
ISSN: 0167-7055,1467-8659
DOI: 10.1111/cgf.13985