Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
نویسندگان
چکیده
The contour tree is an abstraction of a scalar field that encodes the nesting relationships of isosurfaces. We show how to use the contour tree to represent individual contours of a scalar field, how to simplify both the contour tree and the topology of the scalar field, how to compute and store geometric properties for all possible contours in the contour tree, and how to use the simplified contour tree as an interface for exploratory visualization.
منابع مشابه
Simplifying the topology of volume datasets: an opportunistic approach
Understanding isosurfaces and contours (their connected components) is important for the analysis as well as effective visualization of 3D scalar fields. The topological changes that the contours undergo as the isovalue varies are typically represented using the contour tree, which can be obtained from the input scalar field by collapsing every contour to a single point. Contour trees are known...
متن کاملOn the topology of the level sets of a scalar field
This paper introduces the first algorithm for the construction of the Contour Tree of a 3D scalar field augmented with the Betti numbers of each contour component. The scheme has time complexity and auxiliary storage, where is the number of cells in the domain of the field. Previous schemes [11, 10, 3] computed only the Contour Tree which accounts for the number of components of each isosurface...
متن کاملContour Tree Simplification With Local Geometric Measures
The contour tree, an abstraction of a scalar field that encodes the nesting relationships of isosurfaces, has several potential applications in scientific and medical visualization, but noise in experimentally-acquired data results in unmanageably large trees. We attach geometric properties of the contours to the branches of the tree and apply simplification by persistence to reduce the size of...
متن کاملTopological Manipulation of Isosurfaces
In this thesis, I show how to use the topological information encoded in an abstraction called the contour tree to enable interactive manipulation of individual contour surfaces in an isosurface scene, using an interface called the flexible isosurface. Underpinning this interface are several improvements and extensions to existing work on the contour tree. The first, and most critical, extensio...
متن کاملTopological Manipulation of Isosurfaces
In this thesis, I show how to use the topological information encoded in an abstraction called the contour tree to enable interactive manipulation of individual contour surfaces in an isosurface scene, using an interface called the flexible isosurface. Underpinning this interface are several improvements and extensions to existing work on the contour tree. The first, and most critical, extensio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Comput. Geom.
دوره 43 شماره
صفحات -
تاریخ انتشار 2010