Line Integral Convolution on Triangulated Surfaces
نویسندگان
چکیده
Line Integral Convolution (LIC), introduced by Cabral and Leedom in 1993, is a powerful technique for generating striking images of vector data. Based on local ltering of an input texture along a curved stream line segment in a vector eld, it is possible to depict directional information of the vector eld at pixel resolution. The methods suggested so far can handle structured grids only. Now we present an approach that works both on two-dimensional unstructured grids and directly on triangulated surfaces in three-dimensional space. Because unstructured meshes often occur in real applications, this feature makes LIC available for a number of new applications.
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In this lecture we will discuss how line integral convolution can be generalized to depict vector fields defined on surfaces in 3D. The surfaces are assumed to be topologically equivalent to a 2D plane – at least in a local neighbourhood. In principle, any 2D imaging technique can be applied to such a surface as well. In particular, it is possible to map standard 2D LIC images onto the surface ...
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