Fast Line Integral Convolution for Arbitrary Surfaces in 3D

Henrik Battke, Detlev Stalling and Hans-Christian Hege
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Henrik Battke: Konrad-Zuse-Zentrum für Informationstechnik
Detlev Stalling: Konrad-Zuse-Zentrum für Informationstechnik
Hans-Christian Hege: Konrad-Zuse-Zentrum für Informationstechnik

A chapter in Visualization and Mathematics, 1997, pp 181-195 from Springer

Abstract: Summary We describe an extension of the line integral convolution method (LIC) for imaging of vector fields on arbitrary surfaces in 3D space. Previous approaches were limited to curvilinear surfaces, i.e. surfaces which can be parametrized globally using 2D-coordinates. By contrast our method also handles the case of general, possibly multiply connected surfaces. The method works by tesselating a given surface with triangles. For each triangle local euclidean coordinates are defined and a local LIC texture is computed. No scaling or distortion is involved when mapping the texture onto the surface. The characteristic length of the texture remains constant. In order to exploit the texture hardware of modern graphics computers we have developed a tiling strategy for arranging a large number of triangular texture pieces within a single rectangular texture image. In this way texture memory is utilized optimally and even large textured surfaces can be explored interactively.

Keywords: Vector Field; Stream Line; Klein Bottle; Noise Function; Texture Memory (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59195-2_12

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DOI: 10.1007/978-3-642-59195-2_12

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